### Abstract

A series of numerical simulations of a 22 symmetric game on a network examined whether payoff matrix noise promotes cooperation, as reported initially by Perc [New J. Phys. 8, 22 (2006)]. Agents have no memory (they offer cooperation, C, or defection, D). We assume that the network is time invariable. The effect of payoff matrix noise (PMN) is measured by a simulated payoff difference between a normal network game and a network game with PMN. The effect of PMN appears only when a local strategy adaptation is implemented (for example, a network game with imitation dynamics). The influence of PMN becomes more significant with a larger stochastic deviation, and less significant in a larger degree network. One reason for PMNâ€™s effectiveness is the local strategy adaptation mechanism, which helps both the preservation and fixation of C agents, and not that the payoff matrix noise makes a dilemma game into a Trivial (dilemma-free) game.

Original language | English |
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Article number | 041130 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 76 |

Issue number | 4 |

DOIs | |

Publication status | Published - Oct 24 2007 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics

### Cite this

**Promotion of cooperation by payoff noise in a 22 game.** / Tanimoto, Jun.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Promotion of cooperation by payoff noise in a 22 game

AU - Tanimoto, Jun

PY - 2007/10/24

Y1 - 2007/10/24

N2 - A series of numerical simulations of a 22 symmetric game on a network examined whether payoff matrix noise promotes cooperation, as reported initially by Perc [New J. Phys. 8, 22 (2006)]. Agents have no memory (they offer cooperation, C, or defection, D). We assume that the network is time invariable. The effect of payoff matrix noise (PMN) is measured by a simulated payoff difference between a normal network game and a network game with PMN. The effect of PMN appears only when a local strategy adaptation is implemented (for example, a network game with imitation dynamics). The influence of PMN becomes more significant with a larger stochastic deviation, and less significant in a larger degree network. One reason for PMNâ€™s effectiveness is the local strategy adaptation mechanism, which helps both the preservation and fixation of C agents, and not that the payoff matrix noise makes a dilemma game into a Trivial (dilemma-free) game.

AB - A series of numerical simulations of a 22 symmetric game on a network examined whether payoff matrix noise promotes cooperation, as reported initially by Perc [New J. Phys. 8, 22 (2006)]. Agents have no memory (they offer cooperation, C, or defection, D). We assume that the network is time invariable. The effect of payoff matrix noise (PMN) is measured by a simulated payoff difference between a normal network game and a network game with PMN. The effect of PMN appears only when a local strategy adaptation is implemented (for example, a network game with imitation dynamics). The influence of PMN becomes more significant with a larger stochastic deviation, and less significant in a larger degree network. One reason for PMNâ€™s effectiveness is the local strategy adaptation mechanism, which helps both the preservation and fixation of C agents, and not that the payoff matrix noise makes a dilemma game into a Trivial (dilemma-free) game.

UR - http://www.scopus.com/inward/record.url?scp=35548955639&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35548955639&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.76.041130

DO - 10.1103/PhysRevE.76.041130

M3 - Article

AN - SCOPUS:35548955639

VL - 76

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 4

M1 - 041130

ER -