5 . Individual Problems 15-6

Consider a sequential-move game in which an entrant is considering entering an industry in competition with an incumbent firm. If the entrant does not enter ("Out"), the incumbent firm earns a payoff of 10, while the entrant earns a payoff of 0. If the entrant enters ("In"), then the incumbent can either accommodate or fight. If the incumbent accommodates, both earn a payoff of 5. If the incumbent fights, then the entrant can either leave the industry ("Withdraw") or remain in it ("Stay"). If the entrant stays, both earn a payoff of -5. If the entrant withdraws, the entrant earns a payoff of -1, and the incumbent earns a payoff of 8. The extensive form of the game is depicted in the following figure, where the payoffs are of the form (Entrant Payoff, Incumbent Payoff).

True or False: The equilibrium for this game is {In, Fight, Stay}.

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