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Mathematics, 30.10.2020 16:50 heartnolove7590

The following game represents the payoffs for a kicker (player 1) and goalie1(player 2). The payoff to thekicker is the probability of scoring a goal while the probability of blocking the goal is the goalie’s payoff.45,5590,1090,10Center85,150, 10085,15Right95,595,560,40a) (5 points) There are no PSNE in this game. Explain how you can know that. b) (15 points) Solve for the MSNE in this game. Let the kicker mix with probabilitiespL, pC, andpRwhile the goalie mixes with probabilitespl, pc, andpr. Be sure to tell what are each of the 6 prbabilitiesjust listed. c) (5 points) When both players are playing their MSNE, what is the expected payoff to each player.

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