Work

Unbeatable Tit-for-Tat as a Zero-Determinant Strategy

Year: 2022
Type: article
Abstract: Tit-for-Tat strategy is a strategy in repeated two-player symmetric games which imitates the previous action of the opponent. We show that the Tit-for-Tat strategy is a zero-determinant strategy, which unilaterally equalizes the expected payoffs of two players, if and only if the stage game is a potential game. Because it has been known that this condition is equivalent to the condition that the Tit-for-Tat strategy is unbeatable, our results suggest some relation between unbeatable property and the concept of zero-determinant strategy.
Language: English
Open Access status: green
OpenAlex ID: W3198215647
FWCI: 0.91
Cites: 32
Cited by: 8
Related to: 10