ECON 2304 Lecture Notes - Lecture 24: Game Theory, Nash Equilibrium

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Duopoly outcome with collusion: each firm agrees to produce q = 30, earns profit = . Ans. market quantity = 70, p = . Verizon will conclude the same, so both firms renege, each produces q = 40. If both firms renege and produce q = 40, determine each firm"s profits. Both firms would be better off if both stick to the cartel agreement. But each firm has incentive to renege on the agreement. Lesson: it is difficult for oligopoly firms to form cartels and honor their agreements. Nash equilibrium: a situation in which economic participants interacting with one another each choose their best strategy given the strategies that all the others have chosen. Firms will choose their best strategy regardless of the behaviors of other firms. Our duopoly example has a nash equilibrium in which each firm produces q = 40. Given that verizon produces at&t"s best move is to produce q = 40.

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