On the existence of financial equilibrium when beliefs are private
AbstractWe consider a pure exchange financial economy, where agents, possibly asymetrically informed, face an "exogenous uncertainty", on the future state of nature, and an "endogenous uncertainty", on the future price in each random state. Namely, every agent forms private price anticipations on every prospective market, distributed along an idiosyncratic probability law. At a sequential equilibrium, all agents expect the "true" price as a possible outcome and elect optimal strategies at the first period, which clear on all markets at every time period. We show that, provided the endogenous uncertainty is large enough, a sequential equilibrium exists under standard conditions for all types of financial structures and information signals across agents. This result suggests that standard existence problems of sequential equilibrium models, following Hart (1975), stem from the perfect foresight assumption.
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Bibliographic InfoPaper provided by Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number 12055.
Length: 31 pages
Date of creation: Sep 2012
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Sequential equilibrium; temporary equilibrium; perfect foresight; existence; rational expectations; financial markets; asymmetric information; arbitrage.;
Find related papers by JEL classification:
- D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-11-03 (All new papers)
- NEP-CTA-2012-11-03 (Contract Theory & Applications)
- NEP-DGE-2012-11-03 (Dynamic General Equilibrium)
- NEP-MIC-2012-11-03 (Microeconomics)
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UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers)
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