Each of two players draw a lottery ticket with a random prize written on it. You can assume that prizes a uniformly drawn from an interval between 0 and 100 (can you solve it without uniform assumption?). Both player simultaneously decide whether to keep the prize or exchange the ticket with another player. If both decide to exchange, then the tickets are swapped and each player collects a prize from the newly acquired ticket. Find the BNE of the game. Hint: consider cut-off strategies, i.e. that prizes above some z are kept, and below z are offered for exchange.

Each of two players draw a lottery ticket with a random prize written on it. You can assume that prizes a uniformly drawn from an interval between 0 and 100 (can you solve it without uniform assumption?). Both player simultaneously decide whether to keep the prize or exchange the ticket with another player. If both decide to exchange, then the tickets are swapped and each player collects a prize from the newly acquired ticket. Find the BNE of the game. Hint: consider cut-off strategies, i.e. that prizes above some z are kept, and below z are offered for exchange.

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter8: Game Theory

Section: Chapter Questions

Problem 8.8P

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