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Phase diagrams for the spatial public goods game with pool punishment

Open access
Szolnoki, Attila, Szabó, György, Perc, Matjaž·2011·Physical Review E

Abstract

The efficiency of institutionalized punishment is studied by evaluating the stationary states in the spatial public goods game comprising unconditional defectors, cooperators, and cooperating pool punishers as the three competing strategies. Fines and costs of pool punishment are considered as the two main parameters determining the stationary distributions of strategies on the square lattice. Each player collects a payoff from five five-person public goods games, and the evolution of strategies is subsequently governed by imitation based on pairwise comparisons at a low level of noise. The impact of pool punishment on the evolution of cooperation in structured populations is significantly different from that reported previously for peer punishment. Representative phase diagrams reveal remarkably rich behavior, depending also on the value of the synergy factor that characterizes the efficiency of investments payed into the common pool. Besides traditional single- and two-strategy stationary states, a rock-paper-scissors type of cyclic dominance can emerge in strikingly different ways.

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Metadata

Authors
Szolnoki, A., Szabó, G., & Perc, M.
Venue
Physical Review E
Published
2011-03-07
Volume
83
Issue
3
Pages
036101-036101
ISSN
  • 1539-3755 (ISSN-L)
  • 1550-2376
OpenAlex
W2095522116
Cited by
414
References
76
FWCI
92.16
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Phase diagrams for the spatial public goods game with pool punishment. https://app.cochat.ai/papers/10.1103/physreve.83.036101
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Szolnoki, A., Szabó, G., & Perc, M. (2011). Phase diagrams for the spatial public goods game with pool punishment. Physical Review E. https://doi.org/10.1103/physreve.83.036101

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