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Game Theory - Lecture 9

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Lecture 9 - Mixed strategies in theory and tennis

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.

Prof. Ben Polak
ECON 159 Game Theory, Fall 2007
(Yale University: Open Yale)
http://oyc.yale.edu
Date accessed: 2009-01-15
License: Creative Commons BY-NC-SA

Lecture Material

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Supplementary lecture material is listed below.

1. Problem Set 4
2. Handout on Mixed Strategies [PDF]



 

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