Consider a game in which the instructor divides the class into two groups and takes out $8 in quarters (32 quarters). The instructor then puts a quarter into a collection tray and allows those on one side of the room to take the quarter (and somehow divide or allocate it among themselves) or to pass. A pass results in doubling the money (to 2 quarters) and giving those on the other side of the room the option to take or pass. This process of doubling the number of quarters in the tray continues until one side takes the quarters, or until one side's pass forces the instructor to put all remaining coins into the plate, which are then given to the side of the room whose decision would be the next one. Draw a figure that shows the extensive form for this game. Label the players A and B, and show payoffs for each terminal node as an ordered pair: (S for A, S for B). What is the predicted outcome of the game, on the basis of backward induction, perfect rationality, and selfish behavior?
Consider a game in which the instructor divides the class into two groups and takes out $8 in quarters (32 quarters). The instructor then puts a quarter into a collection tray and allows those on one side of the room to take the quarter (and somehow divide or allocate it among themselves) or to pass. A pass results in doubling the money (to 2 quarters) and giving those on the other side of the room the option to take or pass. This process of doubling the number of quarters in the tray continues until one side takes the quarters, or until one side's pass forces the instructor to put all remaining coins into the plate, which are then given to the side of the room whose decision would be the next one. Draw a figure that shows the extensive form for this game. Label the players A and B, and show payoffs for each terminal node as an ordered pair: (S for A, S for B). What is the predicted outcome of the game, on the basis of backward induction, perfect rationality, and selfish behavior?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:Consider a game in which the instructor divides the class into two groups and takes out $8 in
quarters (32 quarters). The instructor then puts a quarter into a collection tray and allows those on
one side of the room to take the quarter (and somehow divide or allocate it among themselves) or to
pass. A pass results in doubling the money (to 2 quarters) and giving those on the other side of the
room the option to take or pass. This process of doubling the number of quarters in the tray
continues until one side takes the quarters, or until one side's pass forces the instructor to put all
remaining coins into the plate, which are then given to the side of the room whose decision would
be the next one. Draw a figure that shows the extensive form for this game. Label the players A and
B, and show payoffs for each terminal node as an ordered pair: (S for A, S for B). What is the
predicted outcome of the game, on the basis of backward induction, perfect rationality, and selfish
behavior?
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