zero-sum game

Games {zero-sum game}| can have total rewards and punishments that are the same for all outcomes, so players can gain only at expense of other players.

examples

Chess, checkers, go, and tic-tac-toe are zero-sum games, because they are win, lose, or draw.

strategy

Two-person, finite, zero-sum games have strategy that wins for first player, makes first player lose, makes it so first player cannot lose, or makes first player lose or draw.

types

Typical two-person, finite, zero-sum game, such as rock-scissors-hand, has no perfect information, because players choose simultaneously.

non-zero-sum

Different outcomes can have different total rewards and punishments, so players can gain or lose, in a non-zero-sum game, as in prisoner's dilemma.

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Date Modified: 2022.0224