Partners or rivals? Strategies for the iterated prisoner's dilemma

Games and Economic Behavior
Christian HilbeK Sigmund

Abstract

Within the class of memory-one strategies for the iterated Prisoner's Dilemma, we characterize partner strategies, competitive strategies and zero-determinant strategies. If a player uses a partner strategy, both players can fairly share the social optimum; but a co-player preferring an unfair solution will be penalized by obtaining a reduced payoff. A player using a competitive strategy never obtains less than the co-player. A player using a zero-determinant strategy unilaterally enforces a linear relation between the two players' payoffs. These properties hold for every strategy used by the co-player, whether memory-one or not.

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Citations

Mar 16, 2016·Proceedings of the National Academy of Sciences of the United States of America·Alex McAvoy, Christoph Hauert
Apr 14, 2016·Nature Communications·Zhijian WangBin Xu
Apr 21, 2016·Journal of Mathematical Biology·Irene Núñez Rodríguez, Armando G M Neves
Apr 7, 2015·Journal of Theoretical Biology·Christian HilbeMartin A Nowak
Jun 2, 2016·Scientific Reports·Alexander J Stewart, Joshua B Plotkin
Oct 4, 2016·Theoretical Population Biology·Alex McAvoy, Christoph Hauert
Oct 30, 2016·Proceedings of the National Academy of Sciences of the United States of America·Alexander J StewartJoshua B Plotkin
Apr 20, 2017·Proceedings of the National Academy of Sciences of the United States of America·Christian HilbeMartin A Nowak
May 11, 2016·Scientific Reports·Seung Ki BaekMartin A Nowak
Apr 3, 2020·PloS One·Masahiko Ueda, Toshiyuki Tanaka
Aug 1, 2015·PloS One·Amnon RapoportAndrew M Colman
Feb 17, 2019·Nature Communications·Lutz Becks, Manfred Milinski
Apr 23, 2019·Proceedings. Mathematical, Physical, and Engineering Sciences·Alex McAvoy, Martin A Nowak
Jul 24, 2020·Scientific Reports·Alain Govaert, Ming Cao
Aug 6, 2020·Nature Communications·Kate DonahueChristian Hilbe
May 18, 2019·Nature Human Behaviour·Christian HilbeMartin A Nowak
Oct 11, 2020·Scientific Reports·Yohsuke Murase, Seung Ki Baek
Oct 21, 2020·Physical Review. E·Azumi Mamiya, Genki Ichinose
Jan 22, 2021·PLoS Computational Biology·Yohsuke Murase, Seung Ki Baek
Aug 29, 2018·Frontiers in Robotics and AI·Julián García, Matthijs van Veelen
Nov 21, 2017·Journal of Theoretical Biology·Genki Ichinose, Naoki Masuda
Oct 16, 2020·Scientific Reports·Nikoleta E Glynatsi, Vincent A Knight
Jun 5, 2021·Royal Society Open Science·Masahiko Ueda
Jun 14, 2021·Journal of Theoretical Biology·Azumi MamiyaGenki Ichinose

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