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Two people are involved in a dispute. Person 1 does not know whether person 2 is strong or weak; she assigns probability to person 2 being strong. Person 2 is fully informed. Each person can either fight or yield. Each person obtains a payoff of 0 if she yields (regardless of the other persons action) and a payoff of 1 if she fights and her opponent yields. If both people fight then their payoffs are (-1, 1) if person 2 is strong and (1,-1) if person 2 is weak. Formulate the situation as a Bayesian game and find its Bayesian equilibria if < 1/2 and if > 1/2 .
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Game Theory has evolved since its origins as an idea exercise for educational mathematicians. Taught in prime business faculties, economics departments, and even military academies
1. Consider two firms producing an identical product in a market where the demand is described by p = 1; 200 2Y. The corresponding cost functions are c 1 (y 1 ) = y 2 1 and c 2
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