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Emergence of anti-coordination through reinforcement learning in generalized minority games

Author

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  • Anindya S. Chakrabarti

    (Indian Institute of Management)

  • Diptesh Ghosh

    (Indian Institute of Management)

Abstract

In this paper we propose adaptive strategies to solve coordination failures in a prototype generalized minority game model with a multi-agent, multi-choice environment. We illustrate the model with an application to large scale distributed processing systems with a large number of agents and servers. In our set up, agents are assigned responsibility to complete tasks that require unit time. They request servers to process these tasks. Servers can process only one task at a time. Agents have to choose servers independently and simultaneously, and have access to the outcomes of their own past requests only. Coordination failure occurs if more than one agent simultaneously requests the same server to process tasks at the same time, while other servers remain idle. Since agents are independent, this leads to multiple coordination failures. In this paper, we propose strategies based on reinforcement learning that minimize such coordination failures. We also prove a null result that a large category of probabilistic strategies which attempts to combine information about other agents’ strategies, asymptotically converge to uniformly random choices over the servers.

Suggested Citation

  • Anindya S. Chakrabarti & Diptesh Ghosh, 2019. "Emergence of anti-coordination through reinforcement learning in generalized minority games," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 14(2), pages 225-245, June.
  • Handle: RePEc:spr:jeicoo:v:14:y:2019:i:2:d:10.1007_s11403-017-0204-5
    DOI: 10.1007/s11403-017-0204-5
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    References listed on IDEAS

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    1. Ghosh, Diptesh & Chakrabarti, Anindya S., 2017. "Emergence of distributed coordination in the Kolkata Paise Restaurant problem with finite information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 16-24.
    2. Anirban Chakraborti & Damien Challet & Arnab Chatterjee & Matteo Marsili & Yi-Cheng Zhang & Bikas K. Chakrabarti, 2013. "Statistical Mechanics of Competitive Resource Allocation using Agent-based Models," Papers 1305.2121, arXiv.org, revised Sep 2014.
    3. G. Mosetti & D. Challet & S. Solomon, 2009. "Structure-preserving desynchronization of minority games," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 71(4), pages 573-577, October.
    4. Emanuele Pugliese & Claudio Castellano & Matteo Marsili & Luciano Pietronero, 2009. "Collaborate, compete and share," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 67(3), pages 319-327, February.
    5. Challet, Damien, 2008. "Inter-pattern speculation: Beyond minority, majority and $-games," Journal of Economic Dynamics and Control, Elsevier, vol. 32(1), pages 85-100, January.
    6. Arthur, W Brian, 1994. "Inductive Reasoning and Bounded Rationality," American Economic Review, American Economic Association, vol. 84(2), pages 406-411, May.
    7. Steve Alpern & Diane Reyniers, 2002. "Spatial Dispersion as a Dynamic Coordination Problem," Theory and Decision, Springer, vol. 53(1), pages 29-59, August.
    8. Challet, D. & Zhang, Y.-C., 1997. "Emergence of cooperation and organization in an evolutionary game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(3), pages 407-418.
    9. Anirban Chakraborti & Damien Challet & Arnab Chatterjee & Matteo Marsili & Yi-Cheng Zhang & Bikas K. Chakrabarti, 2013. "Statistical Mechanics of Competitive Resource Allocation using Agent-based Models," Papers 1305.2121, arXiv.org, revised Sep 2014.
    10. Chakrabarti, Anindya Sundar & Chakrabarti, Bikas K. & Chatterjee, Arnab & Mitra, Manipushpak, 2009. "The Kolkata Paise Restaurant problem and resource utilization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(12), pages 2420-2426.
    11. Challet, Damien & Marsili, Matteo & Zhang, Yi-Cheng, 2013. "Minority Games: Interacting agents in financial markets," OUP Catalogue, Oxford University Press, number 9780199686698, Decembrie.
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    Cited by:

    1. Kiran Sharma & Anamika & Anindya S. Chakrabarti & Anirban Chakraborti & Sujoy Chakravarty, 2017. "The Saga of KPR: Theoretical and Experimental developments," Papers 1712.06358, arXiv.org.

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    More about this item

    Keywords

    Minority games; Adaptive strategies; Reinforcement learning; Resource allocation; Convergence;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis

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