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Existence of equilibria in repeated games with long-run payoffs

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1 Published in 2022 at "Proceedings of the National Academy of Sciences of the United States of America"

DOI: 10.1073/pnas.2105867119

Abstract: Significance Nash equilibrium, of central importance in strategic game theory, exists in all finite games. Here we prove that it exists also in all infinitely repeated games, with a finite or countably infinite set of… read more here.

Keywords: existence equilibria; repeated games; games long; equilibria repeated ... See more keywords

Memory-two zero-determinant strategies in repeated games

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0 Published in 2021 at "Royal Society Open Science"

DOI: 10.1098/rsos.202186

Abstract: Repeated games have provided an explanation of how mutual cooperation can be achieved even if defection is more favourable in a one-shot game in the Prisoner’s Dilemma situation. Recently found zero-determinant (ZD) strategies have substantially… read more here.

Keywords: strategies repeated; zero determinant; determinant strategies; memory two ... See more keywords

Linear algebraic structure of zero-determinant strategies in repeated games

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0 Published in 2020 at "PLoS ONE"

DOI: 10.1371/journal.pone.0230973

Abstract: Zero-determinant (ZD) strategies, a recently found novel class of strategies in repeated games, has attracted much attention in evolutionary game theory. A ZD strategy unilaterally enforces a linear relation between average payoffs of players. Although… read more here.

Keywords: average payoffs; strategies repeated; zero determinant; determinant strategies ... See more keywords

Efficient chip strategies in repeated games

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1 Published in 2018 at "Theoretical Economics"

DOI: 10.3982/te2434

Abstract: We study a class of chip strategies in repeated games of incomplete information. This class generalizes the strategies studied by Mobius (2001) in the context of a favor-exchange model and the strategies studied in our… read more here.

Keywords: chip strategies; efficient chip; strategies repeated; repeated games ... See more keywords

Common learning and cooperation in repeated games

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0 Published in 2020 at "Theoretical Economics"

DOI: 10.3982/te3820

Abstract: We study repeated games in which players learn the unknown state of the world by observing a sequence of noisy private signals. We find that for generic signal distributions, the folk theorem obtains using ex-post… read more here.

Keywords: common learning; learning cooperation; cooperation repeated; state ... See more keywords