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Consider the following all-pay auction.
There is an object that is worth K to n bidders. Each bidder isubmits a bid b(i).The highest
bidder wins the object while every bidder, not just the winner, pays his bid.( In case of a tie, a winner is chosen randomly among those who submit the hightest bid with equal probability.)
Bidder i`s payoff is K-b(i) if he wins, and -b(i) otherwise.
Find a symmetric mixed strategy Nash equilibrium in which each bidder chooses his bidfollowing a cdf F with support [0 , K].
求指导！