Social Network Reciprocity as a Phase Transition in Evolutionary Cooperation
arXiv:0806.4962 · doi:10.1103/PhysRevE.79.026106
Abstract
In Evolutionary Dynamics the understanding of cooperative phenomena in natural and social systems has been the subject of intense research during decades. We focus attention here on the so-called "Lattice Reciprocity" mechanisms that enhance evolutionary survival of the cooperative phenotype in the Prisoner's Dilemma game when the population of darwinian replicators interact through a fixed network of social contacts. Exact results on a "Dipole Model" are presented, along with a mean-field analysis as well as results from extensive numerical Monte Carlo simulations. The theoretical framework used is that of standard Statistical Mechanics of macroscopic systems, but with no energy considerations. We illustrate the power of this perspective on social modeling, by consistently interpreting the onset of lattice reciprocity as a thermodynamical phase transition that, moreover, cannot be captured by a purely mean-field approach.
10 pages. APS style
References in corpus (10)
- Emergence of scaling in random networks
- The structure and function of complex networks
- Evolutionary games on graphs
- Dynamical Organization of Cooperation in Complex Topologies
- Social games in a social network
- Coevolution of teaching activity promotes cooperation
- Cooperation and the Emergence of Role Differentiation in the Dynamics of Social Networks
- Complex cooperative networks from evolutionary preferential attachment
- Evolutionary prisoner's dilemma game with dynamic preferential selection
- Robustness of Cooperation in the Evolutionary Prisoner's Dilemma on Complex Networks
Cited by in corpus (35)
- Coevolutionary games - a mini review
- Evolutionary dynamics of group interactions on structured populations: A review
- Evolutionary game dynamics in a growing structured population
- Information sharing promotes prosocial behaviour
- Selection of noise level in strategy adoption for spatial social dilemmas
- Determinants of public cooperation in multiplex networks
- Environmental feedback drives cooperation in spatial social dilemmas
- Evolutionary dynamics of cooperation in neutral populations
- Statistical Physics of the Spatial Prisoner's Dilemma with Memory-Aware Agents
- Coveting thy neighbors fitness as a means to resolve social dilemmas
- Conformity-Driven Agents Support Ordered Phases in the Spatial Public Goods Game
- Optimal distribution of incentives for public cooperation in heterogeneous interaction environments
- Different reactions to adverse neighborhoods in games of cooperation
- Cooperation and competition between pair and multi-player social games in spatial populations
- Evolution of interactions and cooperation in the spatial prisoner's dilemma game
- Chaos and unpredictability in evolutionary dynamics in discrete time
- Facilitators on networks reveal the optimal interplay between information exchange and reciprocity
- Social norms and cooperation in higher-order networks
- Rethinking network reciprocity over social ties: local interactions make direct reciprocity possible and pave the rational way to cooperation
- Inter-groups information exchange drives Cooperation in the Public Goods Game
- Sharp thresholds limit the benefit of defector avoidance in cooperation on networks
- Cooperation in the Prisoner's Dilemma game in Random Scale-Free Graphs
- Multi-choice opinion dynamics model based on Latane theory
- Cooperation in changing environments: Irreversibility in the transition to cooperation in networks
- Solving Optimization Problems by the Public Goods Game
- Competition between self- and other-regarding preferences in resolving social dilemmas
- Mobility driven coexistence of living organisms
- Restoring spatial cooperation with myopic agents in a three-strategy social dilemma
- Deterministic and stochastic cooperation transitions in evolutionary games on networks
- A note on temperature without energy - a social example
- Shaping the learning signal in a combined Q-learning rule to improve structured cooperation
- Norm breaking in a queue -- athermal phase transition
- Go game formal revealing by Ising model
- Coevolution of Cooperation and Partner Rewiring Range in Spatial Social Networks
- Unraveling Go gaming nature by Ising Hamiltonian and common fate graphs: tactics and statistics