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One simplication we often make is to model players as having only 2 or 3 choices, when in practice, they may have many choices, sometimes
One simplication we often make is to model players as having only 2 or 3 choices, when in practice, they may have many choices, sometimes innitely many so. We might be concerned that that our results were an artifact of our decision to model players as having only 2 choices (or any nite number). So, it's often good to double check that our results are robust to making the strategy space continuous. In this question we will show that the results in Question 1 are robust to making the strategy space continuous. In the context of the HawkDove game, assuming players choose from only 2 choices boils down to assuming that players can only choose to be aggressive forever or passive forever. We'll set up a new game, in which players can instead choose to ght for some time and then give up. This game is called the War of Attrition
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