How do you Write out the payoff matrix for this game, and then find its Nash equilibrium.

A selfless person approaches Jones and Smith with $100 bill and offers to sell it to the highest bidder, but both the winning and losing bidders must pay her their bids. So if Jones bids $2 and Smith bids $1 they pay a total of $3, but Jones gets the money, leaving him with a net gain of $98 and Smith with-$1. If both bid the same amount, the $100 is split evenly between them. Assume that each of them has only two $1 bills on hand, leaving three possible bids: $0, $1, or $2. Write out the payoff matrix for this game, and then find its Nash equilibrium.
DIAPRAISE1
Asked Apr 28, 2012

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