APPROXIMATE COMPLETENESS WITH MULTIPLE MARTINGALE MEASURES

Philippe Artzner and David Heath

Mathematical Finance, 1995, vol. 5, issue 1, 1-11

Abstract: We construct a financial market with countably many securities for which there are two equivalent martingale measures under which the market is approximately complete. Thus, approximate completeness does not in general guarantee unique consistent prices for nonmarketed claims. the construction also produces an economy with two agents and infinitely many traded goods which is in equilibrium but has no equilibrium when a new good (recognized by all as redundant) is tentatively traded.

Date: 1995
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