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Lecture 9 - Mixed Strategies in Theory and Tennis

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Manage episode 207558827 series 2327627
Content provided by William Sheppard. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by William Sheppard or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://ppacc.player.fm/legal.
We continue our discussion of mixed strategies. First we discuss the payoff to a mixed strategy, pointing out that it must be a weighed average of the payoffs to the pure strategies used in the mix. We note a consequence of this: if a mixed strategy is a best response, then all the pure strategies in the mix must themselves be best responses and hence indifferent. We use this idea to find mixed-strategy Nash equilibria in a game within a game of tennis.
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24 episodes

Artwork
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Manage episode 207558827 series 2327627
Content provided by William Sheppard. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by William Sheppard or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://ppacc.player.fm/legal.
We continue our discussion of mixed strategies. First we discuss the payoff to a mixed strategy, pointing out that it must be a weighed average of the payoffs to the pure strategies used in the mix. We note a consequence of this: if a mixed strategy is a best response, then all the pure strategies in the mix must themselves be best responses and hence indifferent. We use this idea to find mixed-strategy Nash equilibria in a game within a game of tennis.
  continue reading

24 episodes

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