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Twa political parties, Party L and Party R, are choosing their platforms before an election. The platforms available to each party are l,m and r.

Twa political parties, Party L and Party R, are choosing their platforms before an election. The platforms available to each party are l,m and r. If both parties pick the same platform, that platform wins. If parties pick different platforms, then platform m- wins by default. Party L's payoffs are as follows. If platform J wins, Party L gets 7; if platform m wins, Party L gets 0; if platform r wins, Party L gets 7. Party R's payoffs are as follows. If platform wins, Party R gets 7; if platform m wins, Party R gets 0; if platform r wins, Party R gets 7. How many pure strategy Nash equilibria does this game have? How many inadmissible pure strategy Nash equilibria does this game have? Suppose Party R plays 0.4r 0.67. What is Party L's expected payoff when it plays its best response to this strategy? Suppose Party L plays 0.6r 0.42. What is Party R's expected payoff when it plays its best response ta this strategy

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