kool_2017_costbenefit

two-step-task psych-101

Two Amazon Mechanical Turk experiments (Experiment 1: N=102 subjects in the file, 98 analyzed; Experiment 2: N=100) ask how people decide moment-to-moment whether to use model-based (planning) vs model-free (habitual) control. Participants performed a two-step reinforcement-learning task: each trial opens with a choice between two first-stage spaceships (binary keypress choice, 0/1 coding with RTs), which leads via common/rare transitions to one of two second-stage states offering scalar point rewards; a per-trial "stakes" cue multiplies all points by 1 or 5 on ~50% of trials, creating a cost-benefit incentive to deploy more model-based control under high stakes. Experiment 1 has a single genuine first-stage decision per trial (one row per trial in exp0.csv); Experiment 2 uses the Daw (2011) variant with two responses per trial, split into per-stage rows again grouped by `block`. Both experiments used 25 practice + 200 test trials per subject. The paper tests an arbitration account of metacontrol, finding that behavior is more model-based on high-stakes than low-stakes trials in Experiment 1 but not Experiment 2, and fits dual-system RL models (standard vs exhaustive variants) to the choice data.

Responses
66,365
6,559 held out
CORE effects
–
no effects simulated
CORE test NLL (avg)
0.569
rank 2 of 7 models
Best model
CORE (no phonemes)
test NLL (avg) 0.562

Likelihood of human responses

modelPNLLtest NLL (avg)test responses train NLL (avg)train responses
CORE3,732.50.56916,5590.537159,806
CORE (no prediction errors)3,930.50.59936,5590.575459,806
CORE (no phonemes) best3,683.80.56166,5590.527259,806
CORE (no forgetting)3,880.90.59176,5590.560159,806
CORE (no hierarchy)4,584.30.69896,5590.686859,806
Transformer4,618.40.70416,5590.691259,806
Centaur4,236.00.64586,559––

Experiments

exptask classparticipantsresponsesconditionssimulatedeffects
exp0TwoStepCostBenefitExp010222,4821no–
exp1DawTwoStepCostBenefitExp110043,8831no–

Behavioral effects

No behavioral effects were simulated for this study.

Transcript

You are flying a spaceship between planets to collect space treasure. At the start of every round a cue shows the stakes for that round: all points earned are multiplied by 1 (low stakes) or by 5 (high stakes). You begin in one of two starting points; each shows a different pair of spaceships side by side. One spaceship of each pair always flies to one of the two planets, and the other always flies to the other planet. Press F to choose the left spaceship and J to choose the right. You then fly to that planet, where an alien works in a space mine; press the space bar within the time limit to collect the treasure it pays out. The alien is sometimes in a good part of the mine (paying many pieces, up to 9) and sometimes in a bad spot (fewer pieces); these amounts drift slowly over the session. Your points this round are the pieces of treasure times the round's stake multiplier, added to your running score in the top-right corner.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 6 pieces of treasure, worth 6 points. Your running score is 6.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 3 pieces of treasure, worth 3 points. Your running score is 9.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 5 pieces of treasure, worth 5 points. Your running score is 14.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 21.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 8 pieces of treasure, worth 8 points. Your running score is 29.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 8 pieces of treasure, worth 8 points. Your running score is 37.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 8 pieces of treasure, worth 8 points. Your running score is 45.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 8 pieces of treasure, worth 8 points. Your running score is 53.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 5 pieces of treasure, worth 5 points. Your running score is 58.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 4 points. Your running score is 62.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 8 pieces of treasure, worth 8 points. Your running score is 70.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press J. You fly to Planet 2. The alien there gives 3 pieces of treasure, worth 3 points. Your running score is 73.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 3 pieces of treasure, worth 3 points. Your running score is 76.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 2 pieces of treasure, worth 2 points. Your running score is 78.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 85.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 8 pieces of treasure, worth 8 points. Your running score is 93.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 0 pieces of treasure, worth 0 points. Your running score is 93.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press J. You fly to Planet 2. The alien there gives 4 pieces of treasure, worth 4 points. Your running score is 97.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 4 points. Your running score is 101.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 4 pieces of treasure, worth 4 points. Your running score is 105.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 112.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 8 pieces of treasure, worth 8 points. Your running score is 120.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 5 pieces of treasure, worth 5 points. Your running score is 125.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 4 points. Your running score is 129.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 4 pieces of treasure, worth 4 points. Your running score is 133.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 9 pieces of treasure, worth 9 points. Your running score is 9.
Stakes x1. You fail to respond within the time limit, so no reward. Your running score is 9.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 6 pieces of treasure, worth 6 points. Your running score is 15.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 4 points. Your running score is 19.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press J. You fly to Planet 2. The alien there gives 1 pieces of treasure, worth 1 points. Your running score is 20.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 0 pieces of treasure, worth 0 points. Your running score is 20.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 2 pieces of treasure, worth 10 points. Your running score is 30.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 2 pieces of treasure, worth 2 points. Your running score is 32.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 5 pieces of treasure, worth 5 points. Your running score is 37.
Stakes x5. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 2 pieces of treasure, worth 10 points. Your running score is 47.
Stakes x5. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 3 pieces of treasure, worth 15 points. Your running score is 62.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 2 pieces of treasure, worth 2 points. Your running score is 64.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 20 points. Your running score is 84.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 20 points. Your running score is 104.
Stakes x5. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 3 pieces of treasure, worth 15 points. Your running score is 119.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 1 pieces of treasure, worth 1 points. Your running score is 120.
Stakes x5. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 4 pieces of treasure, worth 20 points. Your running score is 140.
Stakes x5. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 6 pieces of treasure, worth 30 points. Your running score is 170.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 5 pieces of treasure, worth 5 points. Your running score is 175.
Stakes x5. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 4 pieces of treasure, worth 20 points. Your running score is 195.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 4 pieces of treasure, worth 4 points. Your running score is 199.
Stakes x5. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 2 pieces of treasure, worth 10 points. Your running score is 209.
Stakes x5. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 0 pieces of treasure, worth 0 points. Your running score is 209.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 1 pieces of treasure, worth 1 points. Your running score is 210.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 2 pieces of treasure, worth 2 points. Your running score is 212.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 0 pieces of treasure, worth 0 points. Your running score is 212.
Stakes x5. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 2 pieces of treasure, worth 10 points. Your running score is 222.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 3 pieces of treasure, worth 15 points. Your running score is 237.
Stakes x5. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 1 pieces of treasure, worth 5 points. Your running score is 242.
Stakes x5. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 2 pieces of treasure, worth 10 points. Your running score is 252.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 5 pieces of treasure, worth 5 points. Your running score is 257.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 4 points. Your running score is 261.
Stakes x5. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 6 pieces of treasure, worth 30 points. Your running score is 291.
Stakes x5. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 7 pieces of treasure, worth 35 points. Your running score is 326.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 4 points. Your running score is 330.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 337.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 1 pieces of treasure, worth 5 points. Your running score is 342.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 8 pieces of treasure, worth 8 points. Your running score is 350.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press J. You fly to Planet 2. The alien there gives 8 pieces of treasure, worth 8 points. Your running score is 358.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 8 pieces of treasure, worth 8 points. Your running score is 366.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 373.
Stakes x5. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 8 pieces of treasure, worth 40 points. Your running score is 413.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 7 pieces of treasure, worth 35 points. Your running score is 448.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 455.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 462.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 469.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 8 pieces of treasure, worth 40 points. Your running score is 509.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 9 pieces of treasure, worth 9 points. Your running score is 518.
Stakes x5. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 3 pieces of treasure, worth 15 points. Your running score is 533.
Stakes x5. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 8 pieces of treasure, worth 40 points. Your running score is 573.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 9 pieces of treasure, worth 9 points. Your running score is 582.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 8 pieces of treasure, worth 40 points. Your running score is 622.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 4 pieces of treasure, worth 4 points. Your running score is 626.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 3 pieces of treasure, worth 3 points. Your running score is 629.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 4 points. Your running score is 633.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 20 points. Your running score is 653.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 8 pieces of treasure, worth 8 points. Your running score is 661.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 8 pieces of treasure, worth 8 points. Your running score is 669.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 5 pieces of treasure, worth 5 points. Your running score is 674.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 2 pieces of treasure, worth 10 points. Your running score is 684.
Stakes x5. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 8 pieces of treasure, worth 40 points. Your running score is 724.
Stakes x5. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 8 pieces of treasure, worth 40 points. Your running score is 764.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press J. You fly to Planet 2. The alien there gives 8 pieces of treasure, worth 8 points. Your running score is 772.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 779.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press J. You fly to Planet 2. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 786.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 6 pieces of treasure, worth 6 points. Your running score is 792.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 8 pieces of treasure, worth 8 points. Your running score is 800.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 807.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 814.
Stakes x5. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press J. You fly to Planet 2. The alien there gives 9 pieces of treasure, worth 45 points. Your running score is 859.
Stakes x5. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 8 pieces of treasure, worth 40 points. Your running score is 899.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 906.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 5 pieces of treasure, worth 5 points. Your running score is 911.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 6 pieces of treasure, worth 30 points. Your running score is 941.
Stakes x5. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 8 pieces of treasure, worth 40 points. Your running score is 981.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 988.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press J. You fly to Planet 2. The alien there gives 6 pieces of treasure, worth 6 points. Your running score is 994.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 2 pieces of treasure, worth 2 points. Your running score is 996.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 8 pieces of treasure, worth 8 points. Your running score is 1004.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 8 pieces of treasure, worth 8 points. Your running score is 1012.
Stakes x5. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press J. You fly to Planet 2. The alien there gives 8 pieces of treasure, worth 40 points. Your running score is 1052.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 1 pieces of treasure, worth 1 points. Your running score is 1053.
Stakes x5. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 7 pieces of treasure, worth 35 points. Your running score is 1088.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 1 pieces of treasure, worth 1 points. Your running score is 1089.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 0 pieces of treasure, worth 0 points. Your running score is 1089.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press J. You fly to Planet 2. The alien there gives 3 pieces of treasure, worth 3 points. Your running score is 1092.
Stakes x5. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 20 points. Your running score is 1112.
Stakes x5. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press J. You fly to Planet 2. The alien there gives 1 pieces of treasure, worth 5 points. Your running score is 1117.
Stakes x5. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 7 pieces of treasure, worth 35 points. Your running score is 1152.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 1 pieces of treasure, worth 1 points. Your running score is 1153.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 5 pieces of treasure, worth 5 points. Your running score is 1158.
Stakes x5. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 6 pieces of treasure, worth 30 points. Your running score is 1188.
Stakes x5. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 20 points. Your running score is 1208.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 4 points. Your running score is 1212.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 0 pieces of treasure, worth 0 points. Your running score is 1212.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 4 points. Your running score is 1216.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 1 pieces of treasure, worth 1 points. Your running score is 1217.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 3 pieces of treasure, worth 3 points. Your running score is 1220.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 3 pieces of treasure, worth 3 points. Your running score is 1223.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 2 pieces of treasure, worth 2 points. Your running score is 1225.
Stakes x5. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 1 pieces of treasure, worth 5 points. Your running score is 1230.
Stakes x5. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 0 pieces of treasure, worth 0 points. Your running score is 1230.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 4 points. Your running score is 1234.
Stakes x5. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 2 pieces of treasure, worth 10 points. Your running score is 1244.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 2 pieces of treasure, worth 10 points. Your running score is 1254.
Stakes x5. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 2 pieces of treasure, worth 10 points. Your running score is 1264.
Stakes x5. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 20 points. Your running score is 1284.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 20 points. Your running score is 1304.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 3 pieces of treasure, worth 3 points. Your running score is 1307.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 1 pieces of treasure, worth 1 points. Your running score is 1308.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 1 pieces of treasure, worth 1 points. Your running score is 1309.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 1 pieces of treasure, worth 1 points. Your running score is 1310.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 3 pieces of treasure, worth 15 points. Your running score is 1325.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 20 points. Your running score is 1345.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 1352.
Stakes x5. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 5 pieces of treasure, worth 25 points. Your running score is 1377.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 4 pieces of treasure, worth 20 points. Your running score is 1397.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 2 pieces of treasure, worth 2 points. Your running score is 1399.
Stakes x5. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 20 points. Your running score is 1419.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 1 pieces of treasure, worth 1 points. Your running score is 1420.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 4 pieces of treasure, worth 20 points. Your running score is 1440.
Stakes x5. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 6 pieces of treasure, worth 30 points. Your running score is 1470.
Stakes x1. You fail to respond within the time limit, so no reward. Your running score is 1470.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 8 pieces of treasure, worth 8 points. Your running score is 1478.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 1485.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 4 points. Your running score is 1489.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 3 pieces of treasure, worth 3 points. Your running score is 1492.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 2 pieces of treasure, worth 2 points. Your running score is 1494.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 1501.
Stakes x5. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 7 pieces of treasure, worth 35 points. Your running score is 1536.
Stakes x5. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 5 pieces of treasure, worth 25 points. Your running score is 1561.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 8 pieces of treasure, worth 8 points. Your running score is 1569.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 1576.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 1583.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 1590.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 1 pieces of treasure, worth 1 points. Your running score is 1591.
Stakes x5. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 6 pieces of treasure, worth 30 points. Your running score is 1621.
Stakes x5. You fail to respond within the time limit, so no reward. Your running score is 1621.
Stakes x5. You fail to respond within the time limit, so no reward. Your running score is 1621.
Stakes x1. You fail to respond within the time limit, so no reward. Your running score is 1621.
Stakes x5. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 5 pieces of treasure, worth 25 points. Your running score is 1646.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 3 pieces of treasure, worth 3 points. Your running score is 1649.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 2 pieces of treasure, worth 2 points. Your running score is 1651.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 1 pieces of treasure, worth 1 points. Your running score is 1652.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 5 pieces of treasure, worth 5 points. Your running score is 1657.
Stakes x5. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 2 pieces of treasure, worth 10 points. Your running score is 1667.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 1674.
Stakes x5. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 2 pieces of treasure, worth 10 points. Your running score is 1684.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 1 pieces of treasure, worth 1 points. Your running score is 1685.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 7 pieces of treasure, worth 35 points. Your running score is 1720.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 1727.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 6 pieces of treasure, worth 6 points. Your running score is 1733.
Stakes x5. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press J. You fly to Planet 2. The alien there gives 5 pieces of treasure, worth 25 points. Your running score is 1758.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 9 pieces of treasure, worth 9 points. Your running score is 1767.
Stakes x5. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 8 pieces of treasure, worth 40 points. Your running score is 1807.
Stakes x5. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 6 pieces of treasure, worth 30 points. Your running score is 1837.
Stakes x5. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 8 pieces of treasure, worth 40 points. Your running score is 1877.
Stakes x5. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 8 pieces of treasure, worth 40 points. Your running score is 1917.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 6 pieces of treasure, worth 30 points. Your running score is 1947.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 5 pieces of treasure, worth 5 points. Your running score is 1952.
Stakes x5. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 8 pieces of treasure, worth 40 points. Your running score is 1992.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 8 pieces of treasure, worth 8 points. Your running score is 2000.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 6 pieces of treasure, worth 6 points. Your running score is 2006.
Stakes x5. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 5 pieces of treasure, worth 25 points. Your running score is 2031.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 6 pieces of treasure, worth 30 points. Your running score is 2061.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 6 pieces of treasure, worth 6 points. Your running score is 2067.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 4 pieces of treasure, worth 20 points. Your running score is 2087.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 6 pieces of treasure, worth 30 points. Your running score is 2117.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press F. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 20 points. Your running score is 2137.
Stakes x5. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press J. You fly to Planet 2. The alien there gives 5 pieces of treasure, worth 25 points. Your running score is 2162.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 4 pieces of treasure, worth 4 points. Your running score is 2166.
Stakes x5. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 20 points. Your running score is 2186.
Stakes x5. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 4 pieces of treasure, worth 20 points. Your running score is 2206.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 5 pieces of treasure, worth 5 points. Your running score is 2211.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 3 pieces of treasure, worth 3 points. Your running score is 2214.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press J. You fly to Planet 2. The alien there gives 2 pieces of treasure, worth 2 points. Your running score is 2216.
Stakes x5. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 0 pieces of treasure, worth 0 points. Your running score is 2216.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 0 pieces of treasure, worth 0 points. Your running score is 2216.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 4 pieces of treasure, worth 4 points. Your running score is 2220.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press J. You fly to Planet 2. The alien there gives 2 pieces of treasure, worth 2 points. Your running score is 2222.
Stakes x5. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 2 pieces of treasure, worth 10 points. Your running score is 2232.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 6 pieces of treasure, worth 6 points. Your running score is 2238.
Stakes x5. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 8 pieces of treasure, worth 40 points. Your running score is 2278.
Stakes x5. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 0 pieces of treasure, worth 0 points. Your running score is 2278.
Stakes x5. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 2 pieces of treasure, worth 10 points. Your running score is 2288.
Stakes x5. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 5 pieces of treasure, worth 25 points. Your running score is 2313.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 5 pieces of treasure, worth 5 points. Your running score is 2318.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 4 points. Your running score is 2322.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 9 pieces of treasure, worth 9 points. Your running score is 2331.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press J. You fly to Planet 2. The alien there gives 6 pieces of treasure, worth 6 points. Your running score is 2337.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 5 pieces of treasure, worth 5 points. Your running score is 2342.
Stakes x1. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press F. You fly to Planet 2. The alien there gives 3 pieces of treasure, worth 3 points. Your running score is 2345.
Stakes x1. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press F. You fly to Planet 1. The alien there gives 1 pieces of treasure, worth 1 points. Your running score is 2346.
Stakes x5. Two spaceships appear: Ship 1 on the left and Ship 2 on the right. You press J. You fly to Planet 2. The alien there gives 7 pieces of treasure, worth 35 points. Your running score is 2381.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 5 pieces of treasure, worth 5 points. Your running score is 2386.
Stakes x1. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press F. You fly to Planet 2. The alien there gives 7 pieces of treasure, worth 7 points. Your running score is 2393.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 5 pieces of treasure, worth 5 points. Your running score is 2398.
Stakes x1. Two spaceships appear: Ship 3 on the left and Ship 4 on the right. You press J. You fly to Planet 2. The alien there gives 5 pieces of treasure, worth 5 points. Your running score is 2403.
Stakes x5. Two spaceships appear: Ship 2 on the left and Ship 1 on the right. You press J. You fly to Planet 1. The alien there gives 4 pieces of treasure, worth 20 points. Your running score is 2423.
Stakes x5. Two spaceships appear: Ship 4 on the left and Ship 3 on the right. You press J. You fly to Planet 1. The alien there gives 5 pieces of treasure, worth 25 points. Your running score is 2448.