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Evolution of Cooperation in a Spatial Prisoner's Dilemma [article]

Frank Schweitzer, Laxmidhar Behera, Heinz Muehlenbein
2002 arXiv   pre-print
This modification leads to non-uniform spatial interactions that may even enhance the effect of cooperation. Keywords: Prisoner's dilemma; cooperation; spatial 5-person game  ...  In addition to the complete invasion of defectors, we find coexistence regimes with either a majority of cooperators in large spatial domains, or a minority of cooperators organized in small non-stationary  ...  : Evolution of Cooperation in a Spatial Prisoner's Dilemma Advances in Complex Systems, vol. 5, no. 2-3, pp. 269-299  ... 
arXiv:cond-mat/0211605v1 fatcat:lpqycqtwkjcybondmhkreixr3e

The geometrical patterns of cooperation evolution in the spatial prisoner's dilemma: An intra-group model

Ricardo Oliveira dos Santos Soares, Alexandre Souto Martinez
2006 Physica A: Statistical Mechanics and its Applications  
The Prisoner's Dilemma (PD) deals with the cooperation/defection conflict between two agents. The agents are represented by a cell of L × L square lattice.  ...  The agents are initially randomly distributed according to a certain proportion ρ_c(0) of cooperators.  ...  On the other hand, ρ TABLE I : I The Prisoner's Dilemma transitions as a function of neighborhood α are given by:  ... 
doi:10.1016/j.physa.2006.02.003 fatcat:2w6tjhutz5ekfnajbfxznpvfpa

Social diversity and promotion of cooperation in the spatial prisoner's dilemma game

Matjaž Perc, Attila Szolnoki
2008 Physical Review E  
We account for this observation by generating random variables that determ ine the social diversity of players engaging in the prisoner's dilemma game.  ...  Our results suggest that the distribution of wealth and social status might have played a crucial role by the evolution of cooperation amongst egoistic individuals.  ...  In this paper, we wish to extend the scope of stochastic effects on the evolution of cooperation in the spatial prisoner's dilemma game by introducing the social diversity of players as their extrinsically  ... 
doi:10.1103/physreve.77.011904 pmid:18351873 fatcat:agia5xiqbndt5hx7eyk2gsr6be

Spatial Population Expansion Promotes the Evolution of Cooperation in an Experimental Prisoner's Dilemma

J. David Van Dyken, Melanie J.I. Müller, Keenan M.L. Mack, Michael M. Desai
2013 Current Biology  
Here we demonstrate how spatial population expansion, a widespread natural phenomenon, promotes the evolution of cooperation.  ...  Spatial expansion thus creates a selective force whereby cooperator-enriched demes overtake neighboring defector-enriched demes in a "survival of the fastest".  ...  Spatial Expansion Promotes the Evolution of Cooperation in a Prisoner's Dilemma (A) Growth of fluorescently labeled colonies (cooperators in red, defectors in green).  ... 
doi:10.1016/j.cub.2013.04.026 pmid:23664975 pmcid:PMC4405629 fatcat:fp5bdqnswjhpjhjq4pyv3zrbxi

Variable investment, the Continuous Prisoner's Dilemma, and the origin of cooperation

T. Killingback, M. Doebeli, N. Knowlton
1999 Proceedings of the Royal Society of London. Biological Sciences  
Cooperation is fundamental to many biological systems. A common metaphor for studying the evolution of cooperation is the Prisoner's Dilemma, a game with two strategies: cooperate or defect.  ...  In the resulting Continuous Prisoner's Dilemma the essential problem of cooperation remains: in the absence of any additional structure non-zero levels of investment cannot evolve.  ...  Therefore, the Continuous Prisoner's Dilemma may be viewed as a generalization of the standard Prisoner's Dilemma in which any level of investment can be made.  ... 
doi:10.1098/rspb.1999.0838 pmid:10518320 pmcid:PMC1690197 fatcat:msu5gecfongutn2uh4wdjfz3dm

Evolution of cooperation driven by incremental learning

Pei Li, Haibin Duan
2015 Physica A: Statistical Mechanics and its Applications  
. • Strategies of players are updated according to self-learning and social-learning. • Evolution of cooperation in the PD and the SD is inspected. • We quantify the macroscopic features using six cluster  ...  characteristics. • The time evolution course is examined to analyze the evolutionary results. a b s t r a c t It has been shown that the details of microscopic rules in structured populations can have  ...  Note that the snowdrift game provides better environments for evolution of cooperation than that in the prisoner's dilemma game when u = v = 0.2, as evidenced by spatial patterns arise from microscopic  ... 
doi:10.1016/j.physa.2014.09.062 fatcat:i2xti44tk5dddbhmplpszf4hye

Emergence of Super Cooperation of Prisoner's Dilemma Games on Scale-Free Networks

Angsheng Li, Xi Yong, Gui-Quan Sun
2015 PLoS ONE  
in evolutions of our generalised prisoner's dilemma games on scale-free networks, that entanglement provides a threshold for a phase transition of super cooperation in evolutions of our generalised prisoner's  ...  allow coexistence of cooperators and super cooperators in the evolutions of the weak version of our generalised prisoner's dilemma games.  ...  Rong, Wu and Chen [20] proposed a normalised payoff model of the spatial prisoner's dilemma game, with which cooperation fails to emerge in the evolutions of the weak prisoner's dilemma games on the  ... 
doi:10.1371/journal.pone.0116429 pmid:25643279 pmcid:PMC4314206 fatcat:nxkkpdhuhzfudezund7oi3i5tq

Double resonance in cooperation induced by noise and network variation for an evolutionary prisoner's dilemma

Matjaž Perc
2006 New Journal of Physics  
We study effects of slowly varying small-world topology and additive spatiotemporal random variations, introduced to the payoffs of a spatial prisoner's dilemma game, on the evolution of cooperation.  ...  , thus marking a double resonance phenomenon in the studied system.  ...  topology of players on the evolution of cooperation in the spatial prisoner's dilemma game.  ... 
doi:10.1088/1367-2630/8/9/183 fatcat:zpfqn5qhfbe45mfaua6dpyxq3u

The Optional Prisoner's Dilemma in a Spatial Environment: Coevolving Game Strategy and Link Weights

Marcos Cardinot, Colm O'Riordan, Josephine Griffith
2016 Proceedings of the 8th International Joint Conference on Computational Intelligence  
In this paper, the Optional Prisoner's Dilemma game in a spatial environment, with coevolutionary rules for both the strategy and network links between agents, is studied.  ...  Using a Monte Carlo simulation approach, a number of experiments are performed to identify favourable configurations of the environment for the emergence of cooperation in adverse scenarios.  ...  Although some work has considered coevolving link weights when considering the Prisoner's Dilemma in a spatial environment, to our knowledge the investigation of an Optional Prisoner's Dilemma game on  ... 
doi:10.5220/0006053900860093 dblp:conf/ijcci/CardinotOG16 fatcat:yzxhuhdqgnagzaay2epwiktb5a

Imitating emotions instead of strategies in spatial games elevates social welfare

Attila Szolnoki, Neng-Gang Xie, Chao Wang, Matjaž Perc
2011 Europhysics letters  
Here we reexamine this assumption by investigating the evolution of cooperation in spatial social dilemma games, where instead of pure strategies players can adopt emotional profiles of their neighbors  ...  The success of imitation as an evolutionary driving force in spatial games has often been questioned, especially for social dilemmas such as the snowdrift game, where the most profitable may be the mixed  ...  of adopting pure strategies, strongly promotes the evolution of cooperation in all three considered spatial social-dilemma games.  ... 
doi:10.1209/0295-5075/96/38002 fatcat:sthnx5vwnjexbp4na5zag63zwu

Evolution of Cooperation in N-player Social Dilemmas: The Importance of being Mobile

Maud D. Gibbons, Colm O'Riordan, Josephine Griffith
2016 Proceedings of the 8th International Joint Conference on Computational Intelligence  
In particular, we present results that compare the outcomes using the classical two player prisoner's dilemma and a generalised N-player prisoner's dilemma.  ...  This paper addresses issues regarding the emergence of cooperation in evolutionary, spatial game-theoretic simulations.  ...  The effects of spatial influences on the evolution of cooperation among strategies participating in the N-players prisoner's dilemma is explored by Suzuki and Arita (Suzuki and Arita, 2003) .  ... 
doi:10.5220/0006052700780085 dblp:conf/ijcci/GibbonsOG16 fatcat:g5vrergu4jdobgq463k7rjtbbu

Coevolution of teaching activity promotes cooperation

Attila Szolnoki, Matjaž Perc
2008 New Journal of Physics  
By applying an optimum value of the increment this simple mechanism spontaneously creates relevant inhomogeneities in the teaching activities that support the maintenance of cooperation for both the prisoner's  ...  Initially all players following either the cooperative or defecting strategy are distributed on a square lattice.  ...  Summary We have studied the coevolution of influence and strategy in the spatial prisoner's dilemma and the snowdrift game.  ... 
doi:10.1088/1367-2630/10/4/043036 fatcat:rb7c67w5gzhfznnl5nquvafyty

CHAOS BETWEEN STOCHASTICITY AND PERIODICITY IN THE PRISONER'S DILEMMA GAME

MARKO GOSAK, MARKO MARHL, MATJAŽ PERC
2008 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering  
We study the transition from stochasticity to determinism in the three-strategy pairapproximated prisoner's dilemma game.  ...  We show that these states are characterized by chaos via a rigorous treatment. Results are discussed in view of their sociological importance.  ...  cooperation in the prisoner's dilemma game is always valid for a certain range of payoff values [Doebeli & Hauert, 2005] .  ... 
doi:10.1142/s0218127408020720 fatcat:lrb2ayj5w5h2tnebvitfn4xb7q

Transition from Gaussian to Levy distributions of stochastic payoff variations in the spatial prisoner's dilemma game

Matjaž Perc
2007 Physical Review E  
We study the impact of stochastic payoff variations with different distributions on the evolution of cooperation in the spatial prisoner's dilemma game.  ...  In particular, the facilitative effect of noise on the evolution of cooperation decreases steadily as the frequency of rare events increases.  ...  Although being fairly simple, the described explanation outlines a general mechanism of cooperation promotion in the spatial prisoner's dilemma game.  ... 
doi:10.1103/physreve.75.022101 pmid:17358381 fatcat:vvo2tzigf5g4bkkvmusdjwudue

UNCERTAINTIES FACILITATE AGGRESSIVE BEHAVIOR IN A SPATIAL HAWK–DOVE GAME

MATJAŽ PERC
2007 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering  
We study effects of additive spatiotemporal random variations, introduced to the payoffs of a spatial hawk-dove game, on the evolution of the reconciliatory and the aggressive strategy.  ...  In particular, aggressors thrive best if stochastic influences are of the order of magnitude of deterministic payoff values.  ...  Recently, we studied the impact of noise, added to the payoffs of a spatial Prisoner's Dilemma game, on the evolution of the cooperative and the defective strategy [Perc, 2006a] .  ... 
doi:10.1142/s0218127407019779 fatcat:47wg4lbj7rhr3acqc4uuuebij4
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