4. Suppose that there is a negotiation between two players over a painting. Person 1, the seller, has no interest in the painting. On the other hand the painting is worth $100 to the buyer. If the painting is sold at a price in between 0 and 100, both are better off. Player 1 proposes a price p to player 2. Then, after observing player 1's offer, player 2 decides whether to accept it or to reject it. If the offer is rejected both get zero and the game ends. Find the unique SPNE of this game.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.9P
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4. Suppose that there is a negotiation between two players over a painting. Person 1, the
seller, has no interest in the painting. On the other hand the painting is worth $100 to the
buyer. If the painting is sold at a price in between 0 and 100, both are better off. Player 1
proposes a price p to player 2. Then, after observing player 1's offer, player 2 decides
whether to accept it or to reject it. If the offer is rejected both get zero and the game ends.
Find the unique SPNE of this game.
Transcribed Image Text:4. Suppose that there is a negotiation between two players over a painting. Person 1, the seller, has no interest in the painting. On the other hand the painting is worth $100 to the buyer. If the painting is sold at a price in between 0 and 100, both are better off. Player 1 proposes a price p to player 2. Then, after observing player 1's offer, player 2 decides whether to accept it or to reject it. If the offer is rejected both get zero and the game ends. Find the unique SPNE of this game.
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