We study an evolutionary model of a public good game with rewards played on a network. Giving rewards to contributors transforms the game but gives rise to a second-order dilemma. By allowing for coevolution of strategies and network structure, the evolutionary dynamics operate on both structure and strategy. Players learn with whom to interact and how to act and can overcome the second-order dilemma. More specifically, the network represents social distance which changes as players interact. Through the change in social distance, players learn with whom to interact, which we model using reinforcement dynamics. We find that, for certain parameter constellations, a social institution, prescribing prosocial behavior and thus solving the second-order dilemma, can emerge from a population of selfish players. Due to the dynamic structure of the network, the institution has an endogenous punishment mechanism ensuring that defectors will be excluded from the benefits of the institution and the public good will be supplied efficiently.
Agent-Based modeling Dynamic networks Evolutionary game theory Public goods Reinforcement learning Social networks
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Alexander JM (2007) The structural evolution of morality. Cambridge University PressGoogle Scholar
Amaro JJ, Nakamaru M, Ohtsuki H (2010) Anti-social punishment can prevent the co-evolution of punishment and cooperation. J Theor Biol 265(4):624–632CrossRefGoogle Scholar
Andreoni J, Harbaugh W, Vesterlund L (2003) The carrot or the stick: rewards, punishments and cooperation. Am Econ Rev 93(3):893–902CrossRefGoogle Scholar
Arbesman S, Christakis NA (2011) Dynamic social networks promote cooperation in experiments with humans. Proc Natl Acad Sci 108(48):19193–19198CrossRefGoogle Scholar
Bonacich P, Liggett TM (2003) Asymptotics of a matrix valued markov chain arising in sociology. Stoch Process Appl 104(1):155–171CrossRefGoogle Scholar