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Boundary and interior equilibria: what drives convergence in a ‘beauty contest’?

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  • Andrea, Morone
  • Piergiuseppe, Morone

Abstract

We present an experimental game in the p-beauty framework. Building on the definitions of boundary and interior equilibria, we distinguish between ‘speed of convergence towards the game-theoretic equilibrium’ and ‘deviations of the guesses from the game-theoretic equilibrium’. In contrast to earlier findings (Güth et al., 2002), we show, under a different game parameterisation, that (i) interior equilibria initially produce smaller deviation of the guesses from the game-theoretic equilibrium compared to boundary equilibria; (ii) interior and boundary equilibria do not differ in the timeframe needed for convergence; (iii) the speed of convergence is higher in the boundary equilibrium.

Suggested Citation

  • Andrea, Morone & Piergiuseppe, Morone, 2008. "Boundary and interior equilibria: what drives convergence in a ‘beauty contest’?," MPRA Paper 9584, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:9584
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    References listed on IDEAS

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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. Guth, Werner & Kocher, Martin & Sutter, Matthias, 2002. "Experimental 'beauty contests' with homogeneous and heterogeneous players and with interior and boundary equilibria," Economics Letters, Elsevier, vol. 74(2), pages 219-228, January.
    3. 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.
    4. Ho, Teck-Hua & Camerer, Colin & Weigelt, Keith, 1998. "Iterated Dominance and Iterated Best Response in Experimental "p-Beauty Contests."," American Economic Review, American Economic Association, vol. 88(4), pages 947-969, September.
    5. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-1326, December.
    6. Andrea Morone & Piergiuseppe Morone, 2007. "Guessing Games and People Behaviours: What Can we Learn?," SERIES 0015, Dipartimento di Economia e Finanza - Università degli Studi di Bari "Aldo Moro", revised Feb 2007.
    7. Weber, Roberto A., 2003. "'Learning' with no feedback in a competitive guessing game," Games and Economic Behavior, Elsevier, vol. 44(1), pages 134-144, July.
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    Citations

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    Cited by:

    1. Morone, A. & Morone, P. & Germani, A.R., 2014. "Individual and group behaviour in the traveler's dilemma: An experimental study," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 49(C), pages 1-7.
    2. Andrea Morone & Simone Nuzzo & Rocco Caferra, 2019. "The Dollar Auction Game: A Laboratory Comparison Between Individuals and Groups," Group Decision and Negotiation, Springer, vol. 28(1), pages 79-98, February.
    3. Andrea Morone & Piergiuseppe Morone, 2016. "The Focal Point In The Traveller'S Dilemma: An Experimental Study," Bulletin of Economic Research, Wiley Blackwell, vol. 68(S1), pages 123-132, December.
    4. Sonnemans, Joep & Tuinstra, Jan, 2010. "Positive expectations feedback experiments and number guessing games as models of financial markets," Journal of Economic Psychology, Elsevier, vol. 31(6), pages 964-984, December.
    5. Morone, Andrea & Temerario, Tiziana, 2015. "Eliciting Preferences Over Risk: An Experiment," MPRA Paper 68519, University Library of Munich, Germany.
    6. Shu-Heng Chen & Ye-Rong Du & Lee-Xieng Yang, 2014. "Cognitive capacity and cognitive hierarchy: a study based on beauty contest experiments," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 9(1), pages 69-105, April.
    7. Temerario, Tiziana, 2014. "Individual and Group Behaviour Toward Risk: A Short Survey," MPRA Paper 58079, University Library of Munich, Germany.

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    More about this item

    Keywords

    Guessing game; p-beauty contest; individual behaviour;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior

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