Collaboration and authority in the collective action problem

Main Article Content

Ahmad Mehrad
https://orcid.org/0000-0002-0717-368X

Abstract

Direct reciprocity and contingent collaboration deter opportunistic behavior in social predicaments. However, in large collectives, these mechanisms may lose efficacy as they rely on individuals' influence. Zero-Determinant (ZD) strategies in the collective action problem reshape our understanding of individual influence. Our study introduces a theoretical framework extending these strategies to multiplayer dilemmas, offering insights into lone participants' impact. We delineate intriguing sub-classes of strategies: fair, extortionate (advantageous), and generous (disadvantageous). We explore models showcasing strategic enhancement through alignment with others. The present study elucidates the significance of individual decision-making and collective coordination as essential components contributing to favorable outcomes within expansive group settings.

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How to Cite
[1]
Mehrad, A. 2024. Collaboration and authority in the collective action problem. Journal of Innovative Applied Mathematics and Computational Sciences. 4, 1 (Jun. 2024), 26–48. DOI:https://doi.org/10.58205/jiamcs.v4i1.1719.
Section
Research Articles

References

E. Akin, The iterated prisoners dilemma: good strategies and their dynamics, In: Assani I (ed.) Ergodic Theory: Advances in Dynamical Systems. Berlin, Boston: De Gruyter; 2016. p.77–107. https://doi.org/10.1515/9783110461510-004

M. Abou Chakra and A. Traulsen, Evolutionary dynamics of strategic behavior in a collective-risk dilemma, PLoS Computational Biology, 8(8) (2012), e1002652. https://doi.org/10.1371/journal.pcbi.1002652

R. Axelrod, The evolution of cooperation, Basic Books, New York (1984).

R. Boyd and P. J. Richerson, The evolution of reciprocity in sizable groups, Journal of Theoretical Biology, 132(3) (1988), 337–356.

A. Diekmann, Volunteer’s dilemma, Journal of Conflict Resolution, 29(4) (1985), 605-610.

G. Hardin, The Tragedy of the Commons, Science, 162(3859) (1968), 1243–1248.

C. Hauert and H. G. Schuster, Effects of increasing the number of players and memory size

in the iterated Prisoner’s Dilemma: a numerical approach, Proceedings of the Royal Society of

London. Series B: Biological Sciences, 264(1381) (1997), 513–519.

J. Henrich, R. Boyd, S. Bowles, C. Camerer, E. Fehr, H. Gintis and R. McElreath, Cooperation, reciprocity and punishment in fifteen small-scale societies, American Economic Review, 91(2) (2001), 73–78.

C. Hilbe, T. Röhl and M. Milinski, Extortion subdues human players but is finally punished in the prisoners dilemma, Nature Communications, 5(1) (2014), 3976.

C. Hilbe, M. A. Nowak and K. Sigmund, Evolution of extortion in iterated prisoners dilemma games, Proceedings of the National Academy of Sciences, 110(17) (2013), 6913–6918.

C. Hilbe, B. Wu, A. Traulsen and M. A. Nowak, Cooperation and control in multiplayer social dilemmas, Proceedings of the National Academy of Sciences, 111(46) (2014), 16425–16430.

C. Hilbe, M. A. Nowak and A. Traulsen, Adaptive dynamics of extortion and compliance, PLoS ONE, 8(11) (2013), e77886.

J. Gomez-Gardenes, M. Romance, R. Criado, D. Vilone and A. Sánchez, Evolutionary games defined at the network mesoscale: The public goods game, Chaos: An Interdisciplinary Journal of Nonlinear Science, 21(1) (2011), 016113.

F. Guala, Reciprocity: Weak or strong? What punishment experiments do (and do not) demonstrate, Behavioral and Brain Sciences, 35(1) (2012), 1–15.

M. A. Nowak, Five rules for the evolution of cooperation, Science, 314(5805) (2006), 1560–1563.

M. A. Nowak and K. Sigmund, Evolution of indirect reciprocity, Nature, 437(7063) (2005), 1291–1298.

M. Olson, The Logic of Collective Action: Public Goods and the Theory of Groups, with a new preface and appendix, Vol. 124, Harvard University Press, (1971).

E. Ostrom, Governing the commons: The evolution of institutions for collective action, Cambridge University Press (1990).

L. Pan, D. Hao, Z. Rong and T. Zhou, Zero-determinant strategies in iterated public goods game, Scientific Reports, 5(1) (2015), 1–10.

W. H. Press and F. J. Dyson, Iterated Prisoners Dilemma contains strategies that dominate any evolutionary opponent, Proceedings of the National Academy of Sciences, 109(26) (2012), 10409–10413.

F. C. Santos and J. M. Pacheco, Risk of collective failure provides an escape from the tragedy of the commons, Proceedings of the National Academy of Sciences, 108(26) (2011), 10421–10425.

A. J. Stewart and J. B. Plotkin, Extortion and cooperation in the Prisoners Dilemma, Proceedings of the National Academy of Sciences, 109(26) (2012), 10134–10135.

A. J. Stewart and J. B. Plotkin, From extortion to generosity, evolution in the iterated prisoners dilemma, Proceedings of the National Academy of Sciences, 110(38) (2013), 15348–15353.

S. Suzuki and E. Akiyama, Evolution of indirect reciprocity in groups of various sizes and comparison with direct reciprocity, Journal of Theoretical Biology, 245(3) (2007), 539–552.

A. Szolnoki and M. Perc, Evolution of extortion in structured populations, Physical Review E, 89(2) (2014), 022804. https://link.aps.org/doi/10.1103/PhysRevE.89.022804

K. Sigmund, H. De Silva, A. Traulsen and C. Hauert, Social learning promotes institutions for governing the commons, Nature, 466(7308) (2010), 861–863.

R. L. Trivers, The evolution of reciprocal altruism, The Quarterly Review of Biology, 46(1) (1971), 35–57.

W. Yang, W. Liu, A. Viña, M. N. Tuanmu, G. He, T. Dietz and J. Liu, Nonlinear effects of group size on collective action and resource outcomes, Proceedings of the National Academy of Sciences, 110(27) (2013), 10916–10921.

M. Van Veelen, J. García, D. G. Rand and M. A. Nowak, Direct reciprocity in structured populations, Proceedings of the National Academy of Sciences, 109(25) (2012), 9929–9934.

T. Yamagishi, The provision of a sanctioning system as a public good, Journal of Personality and Social Psychology, 51(1) (1986), 110–116. https://doi.org/10.1037/0022-3514.51.1.110