Roger and Rafael play a game with the following rules. Roger is given $250 to divide between himself and Rafael. Rafael does not get to choose but he can reject Roger’s offer if he does not like it. If Rafael rejects, both get nothing. If Rafael accepts, both get the split that Roger decided.
Roger and Rafael play a game with the following rules. Roger is given $250 to divide between himself and Rafael. Rafael does not get to choose but he can reject Roger’s offer if he does not like it. If Rafael rejects, both get nothing. If Rafael accepts, both get the split that Roger decided.
Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter13: best-practice Tactics: Game Theory
Section: Chapter Questions
Problem 8E
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Roger and Rafael play a game with the following rules. Roger is given $250 to divide between himself and Rafael. Rafael does not get to choose but he can reject Roger’s offer if he does not like it. If Rafael rejects, both get nothing. If Rafael accepts, both get the split that Roger decided.
a. What is this game called?
b. Find all Nash equilibria for this game.
c. When this game is played in the real world, do the predictions in part 1b materialize? Why/why not?
d. Are all Nash equilibria in part 1b Pareto Optimal? Explain
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