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The paradox of group behaviors based on Parrondo’s games

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  • Xie, Neng-gang
  • Guo, Jia-yi
  • Ye, Ye
  • Wang, Chao
  • Wang, Lu
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    Abstract

    We assume a multi-agent model based on Parrondo’s games. The model consists of game A between individuals and game B. In game A, two behavioral patterns are defined: competition and inaction. A controlled alternation strategy of behavioral pattern that gives a single player the highest return is proposed when game A+B is played randomly. Interesting phenomena can be found in collective games where a large number of individuals choose the behavioral pattern by voting. When game B is the capital-dependent version, the outcome can be better for the players to vote randomly than to vote according to their own capital. An explanation of such counter-intuitive phenomena is given by noting that selfish voting prevents the competition behavior of game A that is essential for the total capital to grow. However, if game B is the history-dependent version, this counter-intuitive phenomenon will not happen. The reason is selfish voting results in the competition behavior of game A, and finally it produces the winning results.

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    Bibliographic Info

    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 391 (2012)
    Issue (Month): 23 ()
    Pages: 6146-6155

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    Handle: RePEc:eee:phsmap:v:391:y:2012:i:23:p:6146-6155

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    Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

    Related research

    Keywords: Parrondo’s paradox; Majority rule; Behavior; Competition;

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    1. Dinís, Luis & Parrondo, Juan M.R., 2004. "Inefficiency of voting in Parrondo games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 701-711.
    2. Mihailović, Zoran & Rajković, Milan, 2006. "Cooperative Parrondo's games on a two-dimensional lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(1), pages 244-251.
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