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