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Equilibrium in incomplete markets with differential information: A basic model of generic existence

Lionel De Boisde¤re ()
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Lionel De Boisde¤re: CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, UP1 - Université Paris 1 Panthéon-Sorbonne

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Abstract: The paper demonstrates the generic existence of general equilibria in incomplete financial markets with asymmetric information. The economy has two periods and an ex ante uncertainty over the state of nature to be revealed at the second period. Securities pay off in cash or commodities at the second period, conditionally on the state of nature to br revealed. They permit transfers across periods and states, which are typically insufficient to span all state contingent claims to value, whatever the spot price to prevail. Under the standard smooth preference and perfect foresight assumptions, the paper shows that equilibria exist, except for a closed set of measure zero of securities and endowments. This theorem generalizes Duffie-Shafer's (1985) to arbitrary financial and information structures. The equilibrium prices are consistent with any collection of state prices and norm values on spot markets. This refinement permits to extend to asymmetric information Cass' (1984) theorem that any collection of state prices supports an equilibrium on purely financial markets.

Keywords: arbitrage; asymmetric information; financial markets; rational expectations; existence; perfect foresight; temporary equilibrium; sequential equilibrium; existence de l'équilibre; anticipations parfaites; équilibre temporaire; équilibre séquentiel; anticipations rationnelles; marchés financiers incomplets; asymétrie d'information (search for similar items in EconPapers)
Date: 2021-01
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Published in 2021

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