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Towards understanding the guessing game: a dynamical systems’ perspective

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  • Reimann, Stefan

Abstract

The so-called “Guessing Game” or α-Beauty Contest serves as a paradigmatic conceptual framework for competitive price formation on financial markets beyond traditional equilibrium finance. It highlights features that are reasonable to consider when dealing with price formation on real markets. Nonetheless this game is still poorly understood. We propose a model which is essentially based on two assumptions: (1) players consider intervals rather than exact numbers to cope with incomplete knowledge and (2) players iteratively update their recent guesses. It provides an explanation for typical patterns observed in real data, such as the strict positivity of outcomes in the 1-shot setting, the skew background distribution of guessed numbers, as well as the polynomial convergence towards the game-theoretic Nash equilibrium in the iterative setting.

Suggested Citation

  • Reimann, Stefan, 2004. "Towards understanding the guessing game: a dynamical systems’ perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 339(3), pages 559-573.
    • Handle: RePEc:eee:phsmap:v:339:y:2004:i:3:p:559-573
    DOI: 10.1016/j.physa.2004.03.012
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    1. Antoni Bosch-Domènech & José G. Montalvo & Rosemarie Nagel & Albert Satorra, 2002. "One, Two, (Three), Infinity, ...: Newspaper and Lab Beauty-Contest Experiments," American Economic Review, American Economic Association, vol. 92(5), pages 1687-1701, December.
    2. Duffy, John & Nagel, Rosemarie, 1997. "On the Robustness of Behaviour in Experimental "Beauty Contest" Games," Economic Journal, Royal Economic Society, vol. 107(445), pages 1684-1700, November.
    3. Colin Camerer & Teck-Hua Ho & Juin Kuan Chong, 2003. "A cognitive hierarchy theory of one-shot games: Some preliminary results," Levine's Bibliography 506439000000000495, UCLA Department of Economics.
    4. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702.
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    Keywords

    Guessing game; Beauty contest;

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