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Game Theory 7.0/10

Traveler's Dilemma

An airline loses two travelers' identical antiques. Each independently claims an integer value from $2 to $100. Both are paid the lower claim; additionally, the lower claimant gets a $2 bonus and the higher claimant pays a $2 penalty. How many dollars do rational players claim in the unique Nash equilibrium?

Related problems & prerequisites

Worth solving first

Source: Introduced by Kaushik Basu (1994). Statement written for AxiomIQ.