×

Mean field approximation for a stochastic public goods game. (English) Zbl 1188.91068

Summary: We consider a cellular automaton in the context of mean field approximation to model an interacting public goods game. In this game, players are offered to invest their money in a common pool and the profits are equally distributed among all participants irrespective of their contribution. In our version, players have a motivational level that controls the investment which is updated according to the profit obtained by each player due to two sources: a deterministic (risk free parameter) and a stochastic one (external noise). Analytical results are obtained to describe the stationary state of the average motivation level of the population for different initial conditions and Monte Carlo simulations are used to corroborate the theoretical results.

MSC:

91B18 Public goods
37B15 Dynamical aspects of cellular automata
91A15 Stochastic games, stochastic differential games
65C05 Monte Carlo methods
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Ashlock D., Evolutionary Computation for Modeling and Optimization (2005) · Zbl 1102.68109
[2] R. Axelrod, Genetic Algorithms and Simulated Annealing, ed. L. Davis (Pitman, London, 1987) pp. 32–41.
[3] Barabási A.-L., Science 286 pp 509–
[4] DOI: 10.1007/3-540-37249-0_16 · doi:10.1007/3-540-37249-0_16
[5] DOI: 10.1016/j.physa.2006.03.051 · doi:10.1016/j.physa.2006.03.051
[6] DOI: 10.1590/S0103-97332008000100015 · doi:10.1590/S0103-97332008000100015
[7] DOI: 10.1126/science.284.5411.87 · doi:10.1126/science.284.5411.87
[8] DOI: 10.1017/CBO9781139173179 · Zbl 0914.90287 · doi:10.1017/CBO9781139173179
[9] DOI: 10.1016/j.physrep.2007.04.004 · doi:10.1016/j.physrep.2007.04.004
[10] Szabó G., Phys. Rev. Lett. 89 pp 118101:1–
[11] DOI: 10.1038/30918 · Zbl 1368.05139 · doi:10.1038/30918
[12] DOI: 10.1142/2042 · doi:10.1142/2042
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.