One-shot deviation principle
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The one-shot deviation principle is the principle of optimality of dynamic programming applied to game theory. It says that a strategy profile of a finite extensive-form game is a subgame perfect equilibrium if and only if there exist no profitable one-shot deviations.[1] Ultimately, no player can profit from deviating from the strategy for one period and then reverting to the strategy.
Definitions
A one-shot deviation for player i from strategy σi is a different strategy σ~i for only one period. A profitable one-shot deviation is one in which using a different strategy for one period (an one-shot deviation) yields a higher payoff.[2] A proof of how an unimprovable strategy must be optimal can also be done.[3]
References
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