IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v392y2013i19p4450-4465.html

The quasi-periodicity of the minority game revisited

Author

Listed:
  • Acosta, Gabriel
  • Caridi, Inés
  • Guala, Sebastián
  • Marenco, Javier

Abstract

We analyze two well-known related aspects regarding the sequence of minority sides from the Minority Game (MG) in its symmetric phase: period-two dynamics and quasi-periodic behavior. We also study the sequence of minority sides in a general way within a graph-theoretical framework. In order to analyze the outcome dynamics of the MG, it is useful to define the MGprior, namely an MG with a new choosing rule of the strategy to play, which takes into account both prior preferences and game information. In this way, each time an agent is undecided because two of her best strategies predict different choices while being equally successful so far, she selects her a priori favorite strategy to play, instead of performing a random tie-break as in the MG. This new choosing rule leaves the generic behavior of the model unaffected and simplifies the game analysis. Furthermore, interesting properties arise which are only partially present in the MG, like the quasi-periodic behavior of the sequence of minority sides, which turns out to be periodic for the MGprior.

Suggested Citation

  • Acosta, Gabriel & Caridi, Inés & Guala, Sebastián & Marenco, Javier, 2013. "The quasi-periodicity of the minority game revisited," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4450-4465.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:19:p:4450-4465
    DOI: 10.1016/j.physa.2013.05.038
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437113004792
    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.2013.05.038?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Zheng, Dafang & Wang, Bing-Hong, 2001. "Statistical properties of the attendance time series in the minority game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 301(1), pages 560-566.
    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. Manuca, Radu & Li, Yi & Riolo, Rick & Savit, Robert, 2000. "The structure of adaptive competition in minority games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 282(3), pages 559-608.
    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. Caridi, Inés & Ceva, Horacio, 2003. "Minority game: a mean-field-like approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 317(1), pages 247-258.
    6. Liaw, Sy-Sang & Liu, Ching, 2005. "The quasi-periodic time sequence of the population in minority game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(2), pages 571-579.
    7. Acosta, Gabriel & Caridi, Inés & Guala, Sebastián & Marenco, Javier, 2012. "The Full Strategy Minority Game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 217-230.
    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. Acosta, Gabriel & Caridi, Inés & Guala, Sebastián & Marenco, Javier, 2012. "The Full Strategy Minority Game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 217-230.
    2. Hung, Chia-Hsiang & Liaw, Sy-Sang, 2007. "Effective history length of the minority game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 129-137.
    3. Liu, Ching & Liaw, Sy-Sang, 2006. "Maximize personal gain in the minority game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(2), pages 516-524.
    4. Wawrzyniak, Karol & Wiślicki, Wojciech, 2012. "Mesoscopic approach to minority games in herd regime," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(5), pages 2056-2082.
    5. Kets, W., 2007. "The Minority Game : An Economics Perspective," Other publications TiSEM 65d52a6a-b27d-45a9-93a7-e, Tilburg University, School of Economics and Management.
    6. Płatkowski, Tadeusz & Ramsza, Michał, 2003. "Playing minority game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 323(C), pages 726-734.
    7. Liaw, Sy-Sang & Liu, Ching, 2005. "The quasi-periodic time sequence of the population in minority game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(2), pages 571-579.
    8. Vee-Liem Saw & Lock Yue Chew, 2020. "No-boarding buses: Synchronisation for efficiency," PLOS ONE, Public Library of Science, vol. 15(3), pages 1-34, March.
    9. Xu, C. & Gu, G.-Q. & Hui, P.M., 2024. "Impacts of an expert’s opinion on the collective performance of a competing population for limited resources," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    10. Fernandes, Guilherme & Wardil, Lucas, 2025. "Evolutionary analysis of a simple Minority Game: Coexistence, dominance, and paradoxical outcomes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 669(C).
    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. 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.
    13. Anirban Chakraborti & Ioane Muni Toke & Marco Patriarca & Frédéric Abergel, 2011. "Econophysics review: II. Agent-based models," Post-Print hal-00621059, HAL.
    14. Karol Wawrzyniak & Wojciech Wi'slicki, 2013. "Grand canonical minority game as a sign predictor," Papers 1309.3399, arXiv.org.
    15. 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.
    16. Jørgen Vitting Andersen & Philippe de Peretti, 2020. "Heuristics in experiments with infinitely large strategy spaces," Post-Print hal-02435934, HAL.
    17. 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.
    18. Yamada, Takashi & Hanaki, Nobuyuki, 2016. "An experiment on Lowest Unique Integer Games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 463(C), pages 88-102.
    19. Kei Katahira & Yu Chen & Gaku Hashimoto & Hiroshi Okuda, 2019. "Development of an agent-based speculation game for higher reproducibility of financial stylized facts," Papers 1902.02040, arXiv.org.
    20. 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.

    More about this item

    Keywords

    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:392:y:2013:i:19:p:4450-4465. 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.