### Abstract

An evolutionary snowdrift game (SG) that incorporates bounded rationality and limited information in the evolutionary process is proposed and studied. Based on SG in a well-mixed population and defining the winning action at a turn to be the one that gets a higher payoff, the most recent m winning actions can be used as a public information based on which the competing agents decide their next actions. This defines a strategy pool from which each agent picks a number of strategies as their tool in adapting to the competing environment. The payoff parameter r in SG serves to set the maximum number of winners per turn. Due to the bounded rationality and limited information, the cooperative frequency shows steps and plateaux as a function of r and these features tend to be smoothed out as m increases. These features are results of an interplay between a restricted subset of m-bit histories that the system can visit at a value of r and the limited capacity that agents can adapt. The standard deviation in the number of agents taking the cooperative action is also studied. For general values of r, our model generates a realization of the binary-agent-resource model. The idea of introducing bounded rationality into a two-person game to realize the minority game or binary-agent-resource model could be a useful tool for future research.

Original language | English (US) |
---|---|

Pages (from-to) | 4856-4862 |

Number of pages | 7 |

Journal | Physica A: Statistical Mechanics and its Applications |

Volume | 388 |

Issue number | 23 |

DOIs | |

State | Published - Dec 1 2009 |

### Fingerprint

### Keywords

- Bounded rationality
- Minority game
- Snowdrift game

### ASJC Scopus subject areas

- Condensed Matter Physics
- Statistics and Probability

### Cite this

*Physica A: Statistical Mechanics and its Applications*,

*388*(23), 4856-4862. https://doi.org/10.1016/j.physa.2009.07.045

**Cooperative behavior in evolutionary snowdrift game with bounded rationality.** / Ni, Y. C.; Xu, C.; Hui, P. M.; Johnson, Neil F.

Research output: Contribution to journal › Article

*Physica A: Statistical Mechanics and its Applications*, vol. 388, no. 23, pp. 4856-4862. https://doi.org/10.1016/j.physa.2009.07.045

}

TY - JOUR

T1 - Cooperative behavior in evolutionary snowdrift game with bounded rationality

AU - Ni, Y. C.

AU - Xu, C.

AU - Hui, P. M.

AU - Johnson, Neil F

PY - 2009/12/1

Y1 - 2009/12/1

N2 - An evolutionary snowdrift game (SG) that incorporates bounded rationality and limited information in the evolutionary process is proposed and studied. Based on SG in a well-mixed population and defining the winning action at a turn to be the one that gets a higher payoff, the most recent m winning actions can be used as a public information based on which the competing agents decide their next actions. This defines a strategy pool from which each agent picks a number of strategies as their tool in adapting to the competing environment. The payoff parameter r in SG serves to set the maximum number of winners per turn. Due to the bounded rationality and limited information, the cooperative frequency shows steps and plateaux as a function of r and these features tend to be smoothed out as m increases. These features are results of an interplay between a restricted subset of m-bit histories that the system can visit at a value of r and the limited capacity that agents can adapt. The standard deviation in the number of agents taking the cooperative action is also studied. For general values of r, our model generates a realization of the binary-agent-resource model. The idea of introducing bounded rationality into a two-person game to realize the minority game or binary-agent-resource model could be a useful tool for future research.

AB - An evolutionary snowdrift game (SG) that incorporates bounded rationality and limited information in the evolutionary process is proposed and studied. Based on SG in a well-mixed population and defining the winning action at a turn to be the one that gets a higher payoff, the most recent m winning actions can be used as a public information based on which the competing agents decide their next actions. This defines a strategy pool from which each agent picks a number of strategies as their tool in adapting to the competing environment. The payoff parameter r in SG serves to set the maximum number of winners per turn. Due to the bounded rationality and limited information, the cooperative frequency shows steps and plateaux as a function of r and these features tend to be smoothed out as m increases. These features are results of an interplay between a restricted subset of m-bit histories that the system can visit at a value of r and the limited capacity that agents can adapt. The standard deviation in the number of agents taking the cooperative action is also studied. For general values of r, our model generates a realization of the binary-agent-resource model. The idea of introducing bounded rationality into a two-person game to realize the minority game or binary-agent-resource model could be a useful tool for future research.

KW - Bounded rationality

KW - Minority game

KW - Snowdrift game

UR - http://www.scopus.com/inward/record.url?scp=69549084429&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=69549084429&partnerID=8YFLogxK

U2 - 10.1016/j.physa.2009.07.045

DO - 10.1016/j.physa.2009.07.045

M3 - Article

AN - SCOPUS:69549084429

VL - 388

SP - 4856

EP - 4862

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 23

ER -