Foresight in a Game of Leadership.


Journal

Scientific reports
ISSN: 2045-2322
Titre abrégé: Sci Rep
Pays: England
ID NLM: 101563288

Informations de publication

Date de publication:
10 02 2020
Historique:
received: 31 07 2019
accepted: 03 01 2020
entrez: 12 2 2020
pubmed: 12 2 2020
medline: 12 2 2020
Statut: epublish

Résumé

Leadership can be effective in promoting cooperation within a group, but as the saying goes "heavy is the head that wears the crown". A lot of debate still surrounds exactly what motivates individuals to expend the effort necessary to lead their groupmates. Evolutionary game theoretic models represent individual's thought processes by strategy update protocols. The most common of these are random mutation, individual learning, selective imitation, and myopic optimization. Recently we introduced a new strategy update protocol - foresight - which takes into account future payoffs, and how groupmates respond to one's own strategies. Here we apply our approach to a new 2 × 2 game, where one player, a leader, ensures via inspection and punishment that the other player, a subordinate, produces collective good. We compare the levels of inspection and production predicted by Nash Equilibrium, Quantal Response Equilibrium, level-k cognition, fictitious play, reinforcement learning, selective payoff-biased imitation, and foresight. We show that only foresight and selective imitation are effective at promoting contribution by the subordinate and inspection and punishment by the leader. The role of selective imitation in cultural and social evolution is well appreciated. In line with our prior findings, foresight is a viable alternative route to cooperation.

Identifiants

pubmed: 32041963
doi: 10.1038/s41598-020-57562-1
pii: 10.1038/s41598-020-57562-1
pmc: PMC7010814
doi:

Types de publication

Journal Article Research Support, U.S. Gov't, Non-P.H.S.

Langues

eng

Sous-ensembles de citation

IM

Pagination

2251

Références

Schick, F. Democracy and interdependent preferences. Theory and Decision (1972).
Schelling, T. The Strategy of Conflict (Harvard University Press, 1960).
North, D. Institutions, Institutional Change and Economic Performance (Political Economy of Institutions and Decisions) (Cambridge University Press, 1990).
Hurwicz, L. Institutions as families of game forms. Japanese Economic Rev. 47, 113–132 (1996).
doi: 10.1111/j.1468-5876.1996.tb00038.x
Acemoglu, D. & Robinson Why Nations Fail: The Origins of Power, Prosperity and Poverty. (Crown Publishers, New York, 2011).
Kaplan, H., Gurven, M., Hill, K. & Hurtado, A. The natural history of human food sharing and cooperation: A review and a new multi-individual approach to the negotiation of norms. In Gintis, H., Bowles, S., Boyd, R. & Fehr, E. (eds.) Moral sentiments and Material Iterests: The Foundations of Cooperation in Economic Life, 75–113 (MIT Press, 2005).
Glowacki, L. & von Rueden, C. Leadership solves collective action problems in small-scale societies. Philos. Trans. R. Soc. Lond. B 370, 20150010 (2015).
doi: 10.1098/rstb.2015.0010
Garfield, Z. H., Hubbard, R. L. & Hagen, E. H. Evolutionary models of leadership: Tests and synthesis. Hum. Nat. 30, 23–58 (2019).
doi: 10.1007/s12110-019-09338-4
Smith, J. E. et al. Leadership in mammalian societies: emergence, distribution, power, and payoff. Trends Ecol. Evolution 31, 54–66 (2016).
doi: 10.1016/j.tree.2015.09.013
Zimmerman, M. & Eguiluz, V. Cooperation, social networks, and the emergence of leadership in a prisoner’s dilemma with adaptive local interactions. Phys. Rev. Lett. 72, 056118 (2005).
Hooper, P. L., Kaplan, H. S. & Boone, J. L. A theory of leadership in human cooperative groups. J. Theor. Biol. 265, 633–646 (2010).
doi: 10.1016/j.jtbi.2010.05.034
Boyd, R. & Richerson, P. J. Punishment allows the evolution of cooperation (or anything else) in sizable groups. Ethol. Sociobiol. 13, 171–195 (1992).
doi: 10.1016/0162-3095(92)90032-Y
Archetti, M. & Scheuring, I. Coexistence of cooperation and defection in public goods games. Evolution 65, 1140–1148 (2011).
doi: 10.1111/j.1558-5646.2010.01185.x
van Vugt, M. Evolutionary origins of leaders and followership. Personality Soc. Psychol. Rev. 10, 354–371 (2006).
doi: 10.1207/s15327957pspr1004_5
Olson, M. The logic of collective action: Public Goods And The Theory of Groups. (Harvard University Press, Cambride, MA, 1965).
Bowles, S. & Gintis, H. A cooperative species: Human reciprocity and its evolution. (Princeton University Press, Princeton, NJ, 2011).
doi: 10.1515/9781400838837
Gavrilets, S. & Fortunato, L. A solution to the collective action problem in between-group conflict with within-group inequality. Nat. Commun. 5, artic.le 3526 (2014).
Henrich, J. P. Foundations of human sociality: Economic experiments and ethnographic evidence from fifteen small-scale societies. (Oxford University Press on Demand, Oxford, United Kingdom, 2004).
doi: 10.1093/0199262055.001.0001
Willems, E. P. & van Schaik, C. P. Collective action and the intensity of between-group competition in nonhuman primates. Behav. Ecol. 26, 625–631 (2015).
doi: 10.1093/beheco/arv001
McElreath, R. & Boyd, R. Mathematical models of social evolution. A guide for the perplexed. (Chicago University Press, Chicago, 2007).
doi: 10.7208/chicago/9780226558288.001.0001
Ostrom, E. Collective action and the evolution of social norms. J. Economic Perspect. 14, 137–158 (2000).
doi: 10.1257/jep.14.3.137
Andreoni, J. Privately provided public goods in a large economy: the limits of altruism. J. Public. Econ. 35, 57–73 (1988).
doi: 10.1016/0047-2727(88)90061-8
Gavrilets, S. Collective action problem in heterogeneous groups. Proc. R. Soc. Lond. B 370, 20150016 (2015b).
doi: 10.1098/rstb.2015.0016
McGinty, M. & Milam, G. Public goods provision by asymmetric agents: experimental evidence. Soc. Choice Welf. 40, 1159–1177 (2013).
doi: 10.1007/s00355-012-0658-2
Gilby, I. C. et al. “Impact hunters” catalyse cooperative hunting in two wild chimpanzee communities. Philosophical Transactions of the Royal Society B 370, article 20150005 (2015).
Fudenberg, D. & Tirole, J. Game Theory. (The MIT Press, Cambride, MS, 1992).
Tsebelis, G. The abuse of probability in political analysis: The Robinson Crusoe fallacy. Am. Political Sci. Rev. 83, 77–91 (1989).
doi: 10.2307/1956435
Tsebelis, G. Are sanctions effective? J. Confl. Resolut. 34, 3–28 (1990).
doi: 10.1177/0022002790034001001
Tsebelis, G. Penalty has no impact on crime. Rationality Soc. 2, 255–286 (1990).
doi: 10.1177/1043463190002003002
Holler, M. J. Fighting pollution when decisions are strategic. Public. Choice 76, 347–356 (1993).
doi: 10.1007/BF01053304
Borch, K. Insuring and auditing the auditor. In Deistler, M., Furst, E. & Schwodiauer, G. (eds.) Games, Economic Dynamics, and Time Series Anlaysis (Physica, Heidelberg, 1982).
Avenhaus, R., Caty, M., Kilgour, D. M., von Stengel, B. & Zamir, S. Inspection games in arms control. Eur. J. Operational Res. 90, 383–394 (1996).
doi: 10.1016/0377-2217(95)00261-8
Premack, D. & Woodruff, G. Does the chimpanzee have a theory of mind? Behav. Brain Sci. 1, 515–526 (1978).
doi: 10.1017/S0140525X00076512
Tomasello, M., Carpenter, M., Call, J., Behne, T. & Moll, H. Understanding and sharing intentions: The origins of cultural cognition. Behav. Brain Sci. 28, 675–691 (2005).
doi: 10.1017/S0140525X05000129 pubmed: 16262930 pmcid: 16262930
Stiller, J. & Dunbar, R. Perspective-taking and memory capacity predict social network size. Soc. Netw. 29, 93–104 (2007).
doi: 10.1016/j.socnet.2006.04.001
Paal, T. & Bereczkei, T. Adult theory of mind, cooperation, Machiavellianism: The effect of mindreading on social realtions. Personality Individ. Differences 43, 541–551 (2007).
doi: 10.1016/j.paid.2006.12.021
Nettle, D. & Liddle, B. Agreeableness is related to social-cognitive, but not social-perceptual. Eur. J. Pers. 22, 323–335 (2008).
doi: 10.1002/per.672
Perry, L., Shrestha, M. D., Vose, M. D. & Gavrilets, S. Collective action problem in heterogeneous groups with punishment and foresight. J. Stat. Phys. 172, 293–312 (2018).
doi: 10.1007/s10955-018-2012-2
Axelrod, R. The Evolution of Cooperation. (Basic Books, New York, NY, 1984).
Borgers, T. & Sarin, R. Learning through reinforcement and replicator dynamics. Journal of Economic Theory (1997).
Hofbauer, J. & Sigmund, K. Evolutionary games and population dynamics. (Cambridge University Press, Cambridge, 1998).
doi: 10.1017/CBO9781139173179
Sandholm, W. H. Population games and evolutionary dynamics. (MIT press, Cambridge, MA, 2010).
Goeree, J. K., Holt, C. A. & Smith, A. M. An experimental examination of the volunteer’s dilemma. Games Economic Behav. 102, 303–315 (2017).
doi: 10.1016/j.geb.2017.01.002
Stahl, D. O. & Wilson, P. W. On players models of other players: theory and experimental evidence. Games Economic Behav. 10, 218–254 (1995).
doi: 10.1006/game.1995.1031
Fudenberg, D. & Levin, D. The Theory of Learning in Games (MIT Press, 1998).
Nachbar, J. Evolutionary selection dynamics in games: Convergence and limit properties. Int. J. Game Theory 19, 59–89 (1990).
doi: 10.1007/BF01753708
Taylor, M. Anarchy and cooperation. (Wiley, New York, NY, 1976).
Henrich, J. & Boyd, R. Why people punish defectors: weak conformist transmission can stabilize costly enforcement of norms in cooperative dilemmas. J. Theor. Biol. 208, 79–89 (2001).
doi: 10.1006/jtbi.2000.2202
Gintis, H., Smith, E. A. & Bowles, S. Costly signaling and cooperation. J. Theor. Biol. 213, 103–119 (2001).
doi: 10.1006/jtbi.2001.2406
Boyd, R., Gintis, H., Bowles, S. & Richerson, P. J. The evolution of altruistic punishment. Proc. Natl Acad. Sci. U S Am. 100, 3531–3535 (2003).
doi: 10.1073/pnas.0630443100
Sober, E. & Wilson, D. S. Unto Others: The Evolution and Psychology of Unselfish Behavior. (Harvard University Press, Cambridge, MC, 1999).
Jehiel, P. Limited horizon forecast in repeated alternate games. J. Economic Theory 67, 497–519 (1995).
doi: 10.1006/jeth.1995.1082
Jehiel, P. Limited foresight may force cooperation. Rev. Economic Stud. 68, 369–391, https://doi.org/10.1111/1467-937X.00173 (2001).
doi: 10.1111/1467-937X.00173
Nowak, M. Evolutionary dynamics. (Harvard University Press, Harvard, 2006).
doi: 10.2307/j.ctvjghw98
Axelrod, R. An evolutionary approach to norms. Am. Political Sci. Rev. 80, 1095–1111 (1986).
doi: 10.1017/S0003055400185016
Isakov, A. & Rand, D. The evolution of coercive institutional punishment. Dyn. Games Appl. 2, 97–109 (2012).
doi: 10.1007/s13235-011-0020-9
Roithmayr, D., Isakov, A. & Rand, D. Should law keep pace with society? Relative update rates determine the co-evolution of institutional punishment and citizen contributions to public goods. Games 6, 124–149 (2015).
doi: 10.3390/g6020124
Powers, S. & Lehmann, L. An evolutionary model explaining the neolithic transition from egalitarianism to leadership and despotism. Proc. R. Soc. Lond. 281, 20141349 (2014).
doi: 10.1098/rspb.2014.1349
Powers, S. & Lehmann, L. The co-evolution of social institutions, demography, and large-scale human cooperation. Ecol. Lett. 16, 1356–1364 (2013).
doi: 10.1111/ele.12178
Press, W. & Dyson, F. Iterated Prisoner’s Dilemma contains strategies that dominate any evolutionary opponent. Proc. Natl Acad. Sci. USA 109, 10409–10413 (2012).
doi: 10.1073/pnas.1206569109
Stewart, A. J. & Plotkin, J. B. From extortion to generosity, evolution in the Iterated Prisoner’s Dilemma. Proc. Natl Acad. Sci. USA 110, 15348–15353 (2013).
doi: 10.1073/pnas.1306246110
Nagel, R. Unraveling in guessing games: an experimental study. Am. Economic Rev. 85, 1313–1326 (1995).

Auteurs

Logan Perry (L)

Department of Mathematics, Center for the Dynamics of Social Complexity, University of Tennessee, Knoxville, TN, 37996, USA.

Sergey Gavrilets (S)

Department of Mathematics, Center for the Dynamics of Social Complexity, University of Tennessee, Knoxville, TN, 37996, USA. gavrila@tiem.utk.edu.
Department of Ecology and Evolutionary Biology, National Institute for Mathematical and Biological Synthesis, University of Tennessee, Knoxville, TN, 37996, USA. gavrila@tiem.utk.edu.

Classifications MeSH