Consider a modified Traveler’s Dilemma. In terms of strategy options that the players have and  the dollars they earn, it is like the standard Traveler’s Dilemma, but the players do not have  endless appetite for money. Up to 100 dollars, each dollar feels like a dollar. But any money beyond 100 is psychologically like 100 dollars. Assuming that players are maximizers of  ‘psychological’ dollars instead of real dollars, describe all the Nash equilibria of this modified  Traveler’s Dilemma.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter8: Game Theory
Section: Chapter Questions
Problem 8.1P
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Consider a modified Traveler’s Dilemma. In terms of strategy options that the players have and 
the dollars they earn, it is like the standard Traveler’s Dilemma, but the players do not have 
endless appetite for money. Up to 100 dollars, each dollar feels like a dollar. But any money
beyond 100 is psychologically like 100 dollars. Assuming that players are maximizers of 
‘psychological’ dollars instead of real dollars, describe all the Nash equilibria of this modified 
Traveler’s Dilemma.

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