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/ What happens when a game has no pure strategy Nash equilibria? We must turn our attention to mixed strategy Nash equilibria, in which players randomize between two or more strategies. We use matching pennies--the classic game of two diametrically opposed players--to illustrate the concept.