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Characterizing Revealing and Arbitrage-Free Financial Markets

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  • Lionel DE BOISDEFFRE

Abstract

Radner (Econometrica 47: 655-678, 1979) introduces a general equilibrium model of asymmetric information where "agents have a 'model' or 'expectations' of how equilibrium prices are determined". They would only infer private information of other agents from comparing actual prices and price forecasts with their theoretical values at a price revealing equilibrium. De Boisde¤re (Economic Theory Bulletin 4(1), 2016) shows that agents having private anticipations and no price model may still update their beliefs from observing trade on financial markets, until all arbitrage is precluded. The informational refinement consists in successively eliminating anticipations, which would grant an unlimited arbitrage, if realizable. Thus, agents simply observe, respond and learn from arbitrage opportunities on portfolios, as they would do on actual markets. This model is consistent with all kinds of assets and uncountably many forecasts. We now study markets, which preclude arbitrage, and show the information markets may convey depends on the span of asset payoffs in agents' commonly expected states. We provide conditions, under which markets are non informative, or, typically, partially or fully revealing.

Suggested Citation

  • Lionel DE BOISDEFFRE, 2016. "Characterizing Revealing and Arbitrage-Free Financial Markets," Working Papers 2015-2016_9, CATT - UPPA - Université de Pau et des Pays de l'Adour, revised May 2016.
  • Handle: RePEc:tac:wpaper:2015-2016_9
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    File URL: http://gtl.univ-pau.fr/travaux/2371F_2015_2016_9docWCATT_Characterizing_Revealing_ArbitrageFree_Financial_Markets_LdeBoisdeffre_v2.pdf
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    References listed on IDEAS

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    1. Radner, Roy, 1979. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Econometrica, Econometric Society, vol. 47(3), pages 655-678, May.
    2. Cornet, Bernard & De Boisdeffre, Lionel, 2002. "Arbitrage and price revelation with asymmetric information and incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 38(4), pages 393-410, December.
    3. Radner, Roy, 1972. "Existence of Equilibrium of Plans, Prices, and Price Expectations in a Sequence of Markets," Econometrica, Econometric Society, vol. 40(2), pages 289-303, March.
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    More about this item

    Keywords

    Anticipations; Inferences; Perfect foresight; Rational expectations; Financial markets; Asymmetric information; Arbitrage;

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets

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