In an earlier post regarding theory of simultaneous move games, I concluded with an example of a game between two tennis players that did not demonstrate a Nash equilibrium between its two pure strategies. Sam Hillier: Consulting Philosopher more recently elaborated on the topic with an excellent post on mixed strategies. Whereas I had
approached the question of an equilibrium for a single tennis shot and
concluded that none existed, a tennis match of course includes many
shots, so players have an opportunity to invoke a weighted mix of shots and
defenses between the two options.