Obtaining higher average payoff

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Assume the 3 firms compete for market share over an infinite time horizon.  Each firm takes the present value of 1 dollar tomorrow to be X dollars today, where 0 < X < 1.  Show that there is an equilibrium where all three of the firms can collude with each other and obtain a higher average payoff over time than either one of them could individually in the game.

Reference no: EM1316712

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