Game Theory 101: The Complete Textbook on Amazon: https://www.amazon.com/Game-Theory-101-Complete-Textbook/dp/1492728152/
http://gametheory101.com/courses/game-theory-101/
Every Nash equilibrium of a two player, symmetric, zero sum must give each player an expected utility of zero. This lecture defines symmetric and zero sum games and then explains why that rule must hold. The rule is very useful for proving that certain strategies are not Nash equilibria, and we will see that in the next lecture.
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