Trading envelopes (harder) Julie flips a fair coin. If the coin lands head-up, she puts $10 in envelope one and $100 in envelope two. If the coin lands tails-up she puts $100 in envelope one and $1,000 in envelope two. She then mixes up the envelopes and gives them to Alice and Berta. Alice and Berta look in their own envelopes, but not each other's. Simultaneously, they each choose whether to trade (T) or not (NT). The trade only occurs if they both choose trade. 1. What is the type space for Alice? 2. What is the strategy set for Alice? 3. Find all of the pure strategy Bayesian Nash equilibria.

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter15: Strategic Games
Section: Chapter Questions
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Trading envelopes (harder)
Julie flips a fair coin. If the coin lands head-up, she puts $10 in envelope one and $100 in envelope two. If the coin
lands tails-up she puts $100 in envelope one and $1,000 in envelope two. She then mixes up the envelopes and
gives them to Alice and Berta. Alice and Berta look in their own envelopes, but not each other's. Simultaneously,
they each choose whether to trade (T) or not (NT). The trade only occurs if they both choose trade.
1. What is the type space for Alice?
2. What is the strategy set for Alice?
3. Find all of the pure strategy Bayesian Nash equilibria.
Transcribed Image Text:Trading envelopes (harder) Julie flips a fair coin. If the coin lands head-up, she puts $10 in envelope one and $100 in envelope two. If the coin lands tails-up she puts $100 in envelope one and $1,000 in envelope two. She then mixes up the envelopes and gives them to Alice and Berta. Alice and Berta look in their own envelopes, but not each other's. Simultaneously, they each choose whether to trade (T) or not (NT). The trade only occurs if they both choose trade. 1. What is the type space for Alice? 2. What is the strategy set for Alice? 3. Find all of the pure strategy Bayesian Nash equilibria.
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