consumer's optimal choices of sandr 3. Consider a strategic game with 2 players, P1 and P2. Both players make decisions

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Consumer S Optimal Choices Of Sandr 3 Consider A Strategic Game With 2 Players P1 And P2 Both Players Make Decisions 1 (40.53 KiB) Viewed 23 times

consumer's optimal choices of sandr 3. Consider a strategic game with 2 players, P1 and P2. Both players make decisions simultaneously. The first element in any square represents the payoff to P1 and the second element, the payoff to P2. T P2 с R 9, 1215, 2 8, 1011, 5 6,5 10,6 L 5, 10 2,9 10, 15 P1 M B (a) Simplify the above game to a 2 x 2 game. Explain the steps of sim- plification. Find all the Nash equilíbria for the reduced game, including the mixed-strategy ones. (b) Still consider the reduced 2 x 2 game in (a). Now suppose the players are not "selfish." If the players' actions generate payoffs (91, y2), then the utility of each player i = 1, 2 is given by U; = 2yi + y), where j i. Players maximize utility. Find all the Nash equilibria for this game, including the mixed-strategy ones. no