| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Cooperative Enhancement of Cost Threshold in the Spatial N-Person Snowdrift Game |
| LU Dong-Liang1, ZHANG Hong-Bin1, GE Juan1, XU Chen2 |
1School of Computer Science and Technology, Soochow University, Suzhou 215006
2School of Physical Science and Technology, Soochow University, Suzhou 215006 |
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Abstract We study the cooperative behaviour of the N-person snowdrift game on a square lattice with different neighbourhoods and the cost threshold M for the cooperators. We apply the imitation mechanism for the players and find that there is an optimal frequency of cooperation fC as M varies in the game and the peak of fC shifts to higher M when more neighbours on the lattice are involved in the game. For a given cost-to-benefit ratio r, the system shows discontinuous phase transitions and the behaviour of fC vs M shows step-like structures. We construct payoff level structures and find that the above features can be understood by analyzing the transition behaviour between the payoff levels. The variations of r and M are equivalent to tune the payoff level structures. The plateaus in the step-like structure have similar payoff level structures and the discontinuous jumps correspond to different payoff level structures.
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Received: 20 March 2012
Published: 31 July 2012
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| PACS: |
89.65.-s
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(Social and economic systems)
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87.23.Ge
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(Dynamics of social systems)
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02.50.Le
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(Decision theory and game theory)
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