Lesson 1
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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. Polak, Ben. ECON 159, Game Theory, Fall 2007. Yale OpenCourseWare: Economics, Accessed 30/9/14 http://oyc.yale.edu/economics/econ-159/lecture-9 License: Creative Commons BY-NC-SA

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