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Minority Games, Local Interactions, and Endogenous Networks

  • Giorgio Fagiolo
  • Marco Valente

In this paper we study a local version of the Minority Game where agents are placed on the nodes of a directed graph. Agents care about being in the minority of the group of agents they are currently linked to and employ myopic best-reply rules to choose their next-period state. We show that, in this benchmark case, the smaller the size of local networks, the larger long-run population-average payoffs. We then explore the collective behavior of the system when agents can: (i) assign weights to each link they hold and modify them over time in response to payoff signals; (ii) delete badly-performing links (i.e. opponents) and replace them with randomly chosen ones. Simulations suggest that, when agents are allowed to weight links but cannot delete/replace them, the system self-organizes into networked clusters which attain very high payoff values. These clustered configurations are not stable and can be easily disrupted, generating huge subsequent payoff drops. If however agents can (and are sufficiently willing to) discard badly performing connections, the system quickly converges to stable states where all agents get the highest payoff, independently of the size of the networks initially in place.

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Paper provided by Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy in its series LEM Papers Series with number 2004/17.

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Date of creation: 01 Sep 2004
Date of revision:
Handle: RePEc:ssa:lemwps:2004/17
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  1. Marco Valente & Giorgio Fagiolo & Luigi Marengo, 2003. "Endogenous Networks in Random Population Games," Computing in Economics and Finance 2003 68, Society for Computational Economics.
  2. Ochs, Jack, 1990. "The Coordination Problem in Decentralized Markets: An Experiment," The Quarterly Journal of Economics, MIT Press, vol. 105(2), pages 545-59, May.
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  4. Giulio Bottazzi & Giovanna Devetag & Giovanni Dosi, 1999. "Adaptive Learning and Emergent Coordination in Minority Games," LEM Papers Series 1999/24, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
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  11. Challet, Damien & Zhang, Yi-Cheng, 1998. "On the minority game: Analytical and numerical studies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 256(3), pages 514-532.
  12. Kalinowski, Thomas & Schulz, Hans-Jörg & Briese, Michael, 2000. "Cooperation in the Minority Game with local information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 277(3), pages 502-508.
  13. Moelbert, S. & De Los Rios, P., 2002. "The local minority game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 303(1), pages 217-225.
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  17. Burgos, E. & Ceva, Horacio & Perazzo, R.P.J., 2004. "The evolutionary minority game with local coordination," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(3), pages 635-644.
  18. Lawrence Blume, 1993. "The Statistical Mechanics of Best-Response Strategy Revision," Game Theory and Information 9307001, EconWPA, revised 26 Jan 1994.
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