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GAME 3 Bargaining
Two players A and B are chosen. Player A offers a split of a dollar (whole dimes only). If B agrees, both get paid the agreed coins and the game is over. If B refuses, it is B’s turn but now the sum is only 80 cents. If A accepts B’s offer, the two get paid the agreed coins. If A refuses, the game is over and neither gets anything.
Do this five times in succession with different pairs and the second-round totals falling successively to 70, 60, 50, and 40 cents. Keep a record of the successive outcomes.Again hold a brief discussion. The aim is to get the students to start thinking about rollback and subgame perfectness and,if the students understand these strategies but still don’t play them, why they don’t. Also, consider how the discrepancy changes with the second-round fraction.
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#Dominance method#
The title of a "player" who selects from among her methods randomly, primarily based on some predetermined chance distribution, instead of strategically, primarily based on payoffs
a) Show that A counting proof could be fun(?). But any old proof will do. (Note that the coefficients (1,2,1) in the above are just the elements of the second row of Pas
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