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Game or order effect. I made varies of games, with the dimension 2*2, 3*3, 4*3, 5*3, 3*2, 4*2, and 5*2, after the trail with my family and my housemates (sample size of 6 people). 5*2 (rows*columns) turns out to be the best, as if we put the rational action on the different place, the outcome is wildly different. (I forbid my family and friends to write everything down and do the month). It is utility based, and standard game matrix, the action covered in gray shadow is the rational decision. It is the optimal dominant strategy. It is easy to see because for RP, the action 2 is the dominant strategy, so you should chose 1 instead of others, as if RP chose action 2 your optimal utility is 4. Action 3 and action 5 is the trap options because for “You” the sum of utility in those cases are 9 as well. RP stands for rational player’s choices. You represents the choice you have. Version 1: RP You Action 1 Action 2 Action 3 Action 4 Action 5 Action 1 (5, 3) (4, 3) (10, 0) (3, 1) (6, 3) Action 2 (4, 3) (3, 3) (2, 2) (3, 2) (3, 3) Version 2: RP You Action 1 Action 2 Action 3 Action 4 Action 5 Action 1 (6, 3) (4, 3) (10, 0) (3, 1) (5, 3) Action 2 (3, 3) (3, 3) (2, 2) (3, 2) (4, 3) Version 3: RP You Action 1 Action 2 Action 3 Action 4 Action 5 Action 1 (10, 0) (4, 3) (5, 3) (3, 1) (6, 3) Action 2 (2, 2) (3, 3) (4, 3) (3, 2) (1, 3)