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Game Theory Assignment

Game Theory Assignment. For all of these games, P1 chooses between the columns, and P2 chooses between the rows. Find all the dominant strategies. For each game, find as many dominant strategies (for both players) as you can. Action 1. Action 2. Action 1. Action 2. Action 1. Action 1.

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Game Theory Assignment

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  1. Game Theory Assignment For all of these games, P1 chooses between the columns, and P2 chooses between the rows.

  2. Find all the dominant strategies For each game, find as many dominant strategies (for both players) as you can. Action 1 Action 2 Action 1 Action 2 Action 1 Action 1 Action 2 Action 2 Action 1 Action 2 Action 1 Action 2 Action 1 Action 1 Action 2 Action 2

  3. Zero-sum, constant-sum, or general-sum? For each game, determine whether it is zero-sum, constant-sum, or general-sum. Action 1 Action 2 Action 1 Action 2 Action 1 Action 1 Action 2 Action 2 Action 1 Action 2 Action 1 Action 2

  4. Pareto optima? For each game, find all outcomes that are pareto optimal. Action 1 Action 2 Action 1 Action 2 Action 1 Action 1 Action 2 Action 2 Action 1 Action 2 Action 1 Action 2 Action 1 Action 1 Action 2 Action 2

  5. Pure Strategy Nash equilibria? For each game, find all pure-strategy Nash equilibria. (Note that a strategy is still a “best response” if the other option is tied in terms of payoff for the player.) Action 1 Action 2 Action 1 Action 2 Action 1 Action 1 Action 2 Action 2 Action 1 Action 2 Action 1 Action 2 Action 1 Action 1 Action 2 Action 2

  6. Mixed Strategy Nash equilibria? Find a mixed strategy Nash equilibrium that is not also a pure strategy Nash equilibrium. Action 1 Action 2 Action 1 Action 2

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