EXISTENCE OF AN EQUILIBRIUM WITH DISCONTINUOUS PRICES, ASYMMETRIC INFORMATION, AND NONTRIVIAL INITIAL σ‐FIELDS

Caroline Hillairet

Mathematical Finance, 2005, vol. 15, issue 1, 99-117

Abstract: In this paper, we solve the problems of optimization and equilibrium on a continuous‐time financial market with discontinuous prices, in which agents have different random endowments and different information on the structure and future behavior of the prices. Our purpose is to go over and to extend the work of Pikovsky and Karatzas (1996) by using the theory developed by Amendinger (2000) about martingale representation theorems for initially enlarged filtrations, and to generalize the results in the case of discontinuous prices.

Date: 2005
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