Symmetric, zero sum games are a special class of games that have distinct equilibrium qualities. These qualities make it substantially easier to solve them.

**Takeaway Points**

- A
*symmetric game*is a game in which all players have the same actions and symmetric payoffs given each individual’s action. - A
*zero sum game*is a game in which the payoffs for all players in each outcome sum to zero. - In the equilibrium of a symmetric, zero sum game, each player must receive a payoff of 0.