Suppose that two players are bargaining over the distribution of $1,000 in which payoffs must be in increments of $1. Each player submits a one-time bid. If the sum of the bids is less than or equal to $1,000, each player gets the amount of his or her bid and the game ends. If the sum of the bids is greater than $1,000, the game ends and the players go home empty-handed.   Does this game have a Nash equilibrium? What is the most likely Nash equilibrium strategy profile for this game?

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
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  • Suppose that two players are bargaining over the distribution of $1,000 in which payoffs must be in increments of $1. Each player submits a one-time bid. If the sum of the bids is less than or equal to $1,000, each player gets the amount of his or her bid and the game ends. If the sum of the bids is greater than $1,000, the game ends and the players go home empty-handed.

 

  1. Does this game have a Nash equilibrium?
  2. What is the most likely Nash equilibrium strategy profile for this game?
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