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Game Theoretic Bidding Model: Strategic Aspects of Price Formation at Stock Markets

Author

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  • Domansky, V.

    (St. Petersburg Institute for Economics and Mathematics, Russian Academy of Sciences, St. Petersburg, Russia)

  • Kreps, V.

    (St. Petersburg Institute for Economics and Mathematics, Russian Academy of Sciences, St. Petersburg, Russia)

Abstract

We consider a simplified model of finance market where two players carry on direct multistage bidding with risky assets (shares). One of the players (the insider) is informed on the liquidation price of a share, the other player knows its probability distribution only. It is shown that the optimal strategy of the insider generates a symmetric random walk of prices of transactions. The result confirms the conjecture on the strategic origin of regular stochastic fluctuations of stock market prices.

Suggested Citation

  • Domansky, V. & Kreps, V., 2011. "Game Theoretic Bidding Model: Strategic Aspects of Price Formation at Stock Markets," Journal of the New Economic Association, New Economic Association, issue 11, pages 39-62.
    • Handle: RePEc:nea:journl:y:2011:i:11:p:39-62
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    References listed on IDEAS

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    1. MERTENS , Jean-François & SORIN , Sylvain & ZAMIR , Shmuel, 1994. "Repeated Games. Part B : The Central Results," LIDAM Discussion Papers CORE 1994021, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Victor C. Domansky & Victoria L. Kreps, 2009. "Repeated games with asymmetric information and random price fluctuations at finance markets: the case of countable state space," Documents de travail du Centre d'Economie de la Sorbonne 09040, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised May 2009.
    3. Milgrom, Paul & Stokey, Nancy, 1982. "Information, trade and common knowledge," Journal of Economic Theory, Elsevier, vol. 26(1), pages 17-27, February.
    4. Hadiza Moussa Saley & Bernard De Meyer, 2003. "On the strategic origin of Brownian motion in finance," International Journal of Game Theory, Springer;Game Theory Society, vol. 31(2), pages 285-319.
    5. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    6. Victor Domansky, 2007. "Repeated games with asymmetric information and random price fluctuations at finance markets," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(2), pages 241-257, October.
    7. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, April.
    8. MERTENS , Jean-François & SORIN , Sylvain & ZAMIR , Shmuel, 1994. "Repeated Games. Part A : Background Material," LIDAM Discussion Papers CORE 1994020, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. MERTENS, Jean-François & SORIN , Sylvain & ZAMIR , Shmuel, 1994. "Repeated Games. Part C : Further Developments," LIDAM Discussion Papers CORE 1994022, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. Victor C. Domansky & Victoria L. Kreps, 2009. "Repeated games with asymmetric information and random price fluctuations at finance markets : the case of countable state space," Post-Print halshs-00390701, HAL.
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    Cited by:

    1. Victor Domansky & Victoria Kreps, 2012. "Game-theoretic model of financial markets with two risky assets," HSE Working papers WP BRP 16/EC/2012, National Research University Higher School of Economics.

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    More about this item

    Keywords

    multistage bidding; asymmetric information; random walk; repeated games; optimal strategy;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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