Consider the ultimatum bargaining game as introduced in the class with the following modification. If the share of player i is x, and that of player j is xj, where ji, then the payoff of player i is xi - Bxj where 3 > 0. The parameter 3 can be interpreted as a measure of envy of player i towards player j. Find the subgame perfect equilibria of this game.
Consider the ultimatum bargaining game as introduced in the class with the following modification. If the share of player i is x, and that of player j is xj, where ji, then the payoff of player i is xi - Bxj where 3 > 0. The parameter 3 can be interpreted as a measure of envy of player i towards player j. Find the subgame perfect equilibria of this game.
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.1P
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![3. Consider the ultimatum bargaining game as introduced in the class with the following
modification. If the share of player i is x; and that of player j is xj, where j ‡ i, then
the payoff of player i is
xi - Bxj
where > 0. The parameter ß can be interpreted as a measure of envy of player i
towards player j. Find the subgame perfect equilibria of this game.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10399283-25f5-4037-a47d-50186caa3ac2%2Fe34f9e86-4bd9-41df-aa43-843fbfd1d266%2F3pepmbo_processed.png&w=3840&q=75)
Transcribed Image Text:3. Consider the ultimatum bargaining game as introduced in the class with the following
modification. If the share of player i is x; and that of player j is xj, where j ‡ i, then
the payoff of player i is
xi - Bxj
where > 0. The parameter ß can be interpreted as a measure of envy of player i
towards player j. Find the subgame perfect equilibria of this game.
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