IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v379y2007i2p645-653.html
   My bibliography  Save this article

The minority game with incomplete strategies

Author

Listed:
  • Yang, Cheng
  • Sun, Shixin

Abstract

This paper proposes a new model of Incomplete Minority Game (IMG), which features a default hierarchy of rules. This model introduces random bits into players’ individual strategies and is capable of applying the exception rules in the absence of the default one. Analysis of the numerical experiment results indicates that, in comparison with the standard Minority Game (SMG) model, this IMG model expands the maximum ensemble of uncorrelated strategies (MEUS) and excels in the effective strategy set and dynamic evolution of individual strategies, which enhance the overall performance by reaching an approximate ideal status in a shorter time with less memory steps and more stable combination of strategies. This paper also discusses the practical implication of the new IMG model.

Suggested Citation

  • Yang, Cheng & Sun, Shixin, 2007. "The minority game with incomplete strategies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(2), pages 645-653.
    • Handle: RePEc:eee:phsmap:v:379:y:2007:i:2:p:645-653
    DOI: 10.1016/j.physa.2007.02.014
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437107001240
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2007.02.014?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Caridi, Inés & Ceva, Horacio, 2004. "The Minority Game with interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 339(3), pages 574-582.
    2. 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.
    3. Li, Yi & Riolo, Rick & Savit, Robert, 2000. "Evolution in minority games. (I). Games with a fixed strategy space," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 276(1), pages 234-264.
    4. 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.
    5. Li, Yi & Riolo, Rick & Savit, Robert, 2000. "Evolution in minority games. (II). Games with variable strategy spaces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 276(1), pages 265-283.
    6. Chow, F.K & Chau, H.F, 2003. "Multiple choice minority game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 601-615.
    7. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lustosa, Bernardo C. & Cajueiro, Daniel O., 2010. "Constrained information minority game: How was the night at El Farol?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(6), pages 1230-1238.
    2. Linde, Jona & Sonnemans, Joep & Tuinstra, Jan, 2014. "Strategies and evolution in the minority game: A multi-round strategy experiment," Games and Economic Behavior, Elsevier, vol. 86(C), pages 77-95.
    3. Linde, Jona & Gietl, Daniel & Sonnemans, Joep & Tuinstra, Jan, 2023. "The effect of quantity and quality of information in strategy tournaments," Journal of Economic Behavior & Organization, Elsevier, vol. 211(C), pages 305-323.
    4. Giorgio Fagiolo & Marco Valente, 2005. "Minority Games, Local Interactions, and Endogenous Networks," Computational Economics, Springer;Society for Computational Economics, vol. 25(1), pages 41-57, February.
    5. Ren, F. & Zhang, Y.C., 2008. "Trading model with pair pattern strategies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(22), pages 5523-5534.
    6. Kirley, Michael, 2006. "Evolutionary minority games with small-world interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(2), pages 521-528.
    7. Kets, W., 2007. "The Minority Game : An Economics Perspective," Other publications TiSEM 65d52a6a-b27d-45a9-93a7-e, Tilburg University, School of Economics and Management.
    8. Shu-Heng Chen & Umberto Gostoli, 2017. "Coordination in the El Farol Bar problem: The role of social preferences and social networks," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 12(1), pages 59-93, April.
    9. Xin-Jie Zhang & Yong Tang & Jason Xiong & Wei-Jia Wang & Yi-Cheng Zhang, 2018. "Dynamics of Cooperation in Minority Games in Alliance Networks," Sustainability, MDPI, vol. 10(12), pages 1-17, December.
    10. Anirban Chakraborti & Ioane Muni Toke & Marco Patriarca & Frédéric Abergel, 2011. "Econophysics review: II. Agent-based models," Post-Print hal-00621059, HAL.
    11. Thorsten Chmura & Thomas Pitz, 2007. "An Extended Reinforcement Algorithm for Estimation of Human Behaviour in Experimental Congestion Games," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 10(2), pages 1-1.
    12. Chen, Fang & Gou, Chengling & Guo, Xiaoqian & Gao, Jieping, 2008. "Prediction of stock markets by the evolutionary mix-game model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3594-3604.
    13. Xin, C. & Yang, G. & Huang, J.P., 2017. "Ising game: Nonequilibrium steady states of resource-allocation systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 666-673.
    14. Andreas Krause, 2009. "Evaluating the performance of adapting trading strategies with different memory lengths," Papers 0901.0447, arXiv.org.
    15. Zhang, Yu-Xia & Liang, Wen-Yao & Liu, Xue-Mei, 2014. "Changes of behavior tendency in the evolutionary minority game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 227-232.
    16. Roland Rothenstein, 2018. "Quantification of market efficiency based on informational-entropy," Papers 1812.02371, arXiv.org.
    17. Chmura, Thorsten & Pitz, Thomas, 2004. "Minority Game: Experiments and Simulations of Traffic Scenarios," Bonn Econ Discussion Papers 23/2004, University of Bonn, Bonn Graduate School of Economics (BGSE).
    18. Roberto Savona & Maxence Soumare & Jørgen Vitting Andersen, 2015. "Financial Symmetry and Moods in the Market," PLOS ONE, Public Library of Science, vol. 10(4), pages 1-21, April.
    19. Giulio Bottazzi & Giovanna Devetag, 2002. "Coordination and self-organization in minority games: experimental evidence," CEEL Working Papers 0215, Cognitive and Experimental Economics Laboratory, Department of Economics, University of Trento, Italia.
    20. Jorgen Vitting Andersen & Andrzej Nowak, 2020. "Symmetry and financial Markets," Documents de travail du Centre d'Economie de la Sorbonne 20030, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:379:y:2007:i:2:p:645-653. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.