Trading envelopes Julie flips a fair coin. If the coin lands heads up, she puts $10 in an envelope and if the coin lands tails up she puts $1,000 in an envelope. Julie then gives the envelope to Alice, and gives $100 to Berta. Alice can look in the envelope to see how much money is inside, but Berta cannot see inside the envelope. However, everyone knows that Berta has $100. Simultaneously, Alice and Berta each choose whether to trade (T) or not (NT). The trade only occurs if they both want to trade. 1. What is the type space for Alice? 2. What is the strategy set for Alice? 3. What is the strategy set for Berta? 4. Find all of the pure strategy Bayesian Nash equilibria.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Trading envelopes
Julie flips a fair coin. If the coin lands heads up, she puts $10 in an envelope and if the coin lands tails up she
puts $1,000 in an envelope. Julie then gives the envelope to Alice, and gives $100 to Berta. Alice can look in the
envelope to see how much money is inside, but Berta cannot see inside the envelope. However, everyone knows
that Berta has $100. Simultaneously, Alice and Berta each choose whether to trade (T) or not (NT). The trade only
occurs if they both want to trade.
1. What is the type space for Alice?
2. What is the strategy set for Alice?
3. What is the strategy set for Berta?
4. Find all of the pure strategy Bayesian Nash equilibria.
Transcribed Image Text:Trading envelopes Julie flips a fair coin. If the coin lands heads up, she puts $10 in an envelope and if the coin lands tails up she puts $1,000 in an envelope. Julie then gives the envelope to Alice, and gives $100 to Berta. Alice can look in the envelope to see how much money is inside, but Berta cannot see inside the envelope. However, everyone knows that Berta has $100. Simultaneously, Alice and Berta each choose whether to trade (T) or not (NT). The trade only occurs if they both want to trade. 1. What is the type space for Alice? 2. What is the strategy set for Alice? 3. What is the strategy set for Berta? 4. Find all of the pure strategy Bayesian Nash equilibria.
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