Show that game has an ess that assigns positive probability

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(Bargaining) Pairs of players bargain over the division of a pie of size 10. The members of a pair simultaneously make demands; the possible demands are the nonnegative even integers up to 10. If the demands sum to 10 then each player receives her demand; if the demands sum to less than 10 then each player receives her demand plus half of the pie that remains after both demands have been satisfied; if the demands sum to more than 10 then no player receives any payoff. Show that the game has an ESS that assigns positive probability only to the demands 2 and 8 and also has an ESS that assigns positive probability only to the demands 4 and 6.

Reference no: EM13906898

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