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On the strategic origin of Brownian motion in finance

Bernard De Meyer and Hadiza Moussa Saley

No 2000057, LIDAM Discussion Papers CORE from Université catholique de Louvain, Center for Operations Research and Econometrics (CORE)

Abstract: This paper is concerned with the stategic use of a private information on the stock market. A repeated auction model is used to analyze the evolution of the price system on a market with asymmetric information. The model turns out to be a zero-sum repeated game with one-sided information, as introduced by Aumann and Maschler. The stochastic evolution of the price system can be explicitly computed in the n times repeated case. As n grows to [infinite] , this process tends to a continuous time martingale related to a Brownian Motion. This paper provides in this way an endogenous justification for the appearance of Brownian Motion in Finance theory.

Date: 2000-12
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Citations: View citations in EconPapers (9)

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Journal Article: On the strategic origin of Brownian motion in finance (2003) Downloads
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