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Dynamics of a Public Investment Game: from Nearest-Neighbor Lattices to Small-World Networks

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Advances in Artificial Economics

Abstract

In this work we analyze the time evolution of the wealth of a group of agents in a public-investment-game scenario. These are part of a small-world network, where connections depend on a probability p and investment depends on a binary variable σ (motivation). This variable tries to emulate one’s perception of other players’ actions. We study the effect of the connectivity on the wealth of the group as well as the dynamics when idyosincratic types are introduced in the game.

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References

  1. Abramson G, Kuperman M (2001) Social games in a social network. Physical Review E.

    Google Scholar 

  2. Ashlock D (2005) Evolutionary Computation for Modeling and Optimization. Springer, New York

    Google Scholar 

  3. Bazzan ALC & Cavalheiro AP (2003) Influence of Social Attachment in a Small-World Network of Agents Playing the Iterated Prisoner’s Dilemma In: Parsons S Gmytrasiewicz P (eds) 5th Workshop of Game Theoretic and Decision Theoretic Agents, pp. 17–24

    Google Scholar 

  4. Durlauf SN (1999) How can statistical Mechanics contribute to social science? Proc. Natl. Acad. Sci. 96:10582–10584

    Article  MATH  MathSciNet  Google Scholar 

  5. Milgram S (1967) The small world problem. Psychol. Today 2

    Google Scholar 

  6. Nowak M, May R (1992) Evolutionary games and spatial chaos. Nature 359:826–829

    Article  Google Scholar 

  7. da Silva R, Bazzan ALC, Baraviera AT, Dahmen SR (2006) Emerging collective behavior and local properties of financial dynamics in a public investment game. To appear in Physica A (2006)

    Google Scholar 

  8. Watts D, Strogatz SH (1998) Collective dynamics of small world networks. Nature 393:440–442

    Article  Google Scholar 

  9. R. Axelrod. The Evolution of Cooperation. Basic Books, 1984.

    Google Scholar 

  10. A. L. C. Bazzan, R. Bordini, G. Andriotti, R. Viccari, and J. Wahle. Wayward agents in a commuting scenario (personalities in the minotity game). In Proc. of the Int. Conf. on Multi-Agent Systems (ICMAS). IEEE Computer Science, July 2000.

    Google Scholar 

  11. A. L. C. Bazzan, R. Bordini, and J. Campbell. Moral sentiments in multi-agent systems. In Intelligent Agents V, number 1555 in LNAI, pages 113–131. Spriger-Verlag, 1999.

    Google Scholar 

  12. A. L. C. Bazzan and R. H. Bordini. A framework for the simulation of agents with emotions: Report on experiments with the iterated prisoner’s dilemma. In J. P. Müller, E. Andre, S. Sen, and C. Frasson, editors, Proceedings of The Fifth International Conference on Autonomous Agents (Agents 2001), 28 May–1 June, pages 292–299, Montreal, Canada, 2001. ACM Press.

    Google Scholar 

  13. S. A. Kauffman. The Origins of Order. Oxford University Press, Oxford, 1993.

    Google Scholar 

  14. B. J. Kim, A. Trusina, P. Holme, P. Minnhagen, J. S. Chung, and M. Y. Choi. Dynamic instabilities induced by asymmetric influence: Prisoner’s dilemma game in small-world networks. Physical Review E, 66, 2002.

    Google Scholar 

  15. S. Milgram. The small world problem. Psychol. Today, 2, 1967.

    Google Scholar 

  16. M. Nowak and R. May. Evolutionary games and spatial chaos. Nature, 359:826–829, 1992.

    Article  Google Scholar 

  17. M. Ridley. The Origins of Virtue. Viking Press, London, 1996. 304 pp.

    Google Scholar 

  18. D. J. Watts and S. H. Strogatz. Collective dynamics of’ small-world’ networks. Nature, 393(6684):397–498, June 1998.

    Article  Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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da Silva, R., Baraviera, A.T., Dahmen, S.R., Bazzan, A.L.C. (2006). Dynamics of a Public Investment Game: from Nearest-Neighbor Lattices to Small-World Networks. In: Bruun, C. (eds) Advances in Artificial Economics. Lecture Notes in Economics and Mathematical Systems, vol 584. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-37249-0_16

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  • DOI: https://doi.org/10.1007/3-540-37249-0_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37247-9

  • Online ISBN: 978-3-540-37249-3

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