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Competitive Nash Equilibria and Two Period Fund Separation


Hens, Thorsten; Reimann, Stefan; Vogt, Bodo (2003). Competitive Nash Equilibria and Two Period Fund Separation. Working paper series / Institute for Empirical Research in Economics No. 172, University of Zurich.

Abstract

We suggest a simple asset market model in which we analyze competitive and strategic behaviornsimultaneously. If for competitive behavior two-fund separation holds across periods then itnalso holds for strategic behavior. In this case the relative prices of the assets do not dependnon whether agents behave strategically or competitively. Those agents acting strategically willnhowever invest less in the common mutual fund. Constant relative risk aversion and absencenof aggregate risk are shown to be two alternative sufficient conditions for two-period fundnseparation. With derivatives further strategic aspects arise and strategic behavior is distinctnfrom competitive behavior even for those utility functions leading to two-fund separation.

Abstract

We suggest a simple asset market model in which we analyze competitive and strategic behaviornsimultaneously. If for competitive behavior two-fund separation holds across periods then itnalso holds for strategic behavior. In this case the relative prices of the assets do not dependnon whether agents behave strategically or competitively. Those agents acting strategically willnhowever invest less in the common mutual fund. Constant relative risk aversion and absencenof aggregate risk are shown to be two alternative sufficient conditions for two-period fundnseparation. With derivatives further strategic aspects arise and strategic behavior is distinctnfrom competitive behavior even for those utility functions leading to two-fund separation.

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Additional indexing

Item Type:Working Paper
Communities & Collections:03 Faculty of Economics > Department of Economics
Working Paper Series > Institute for Empirical Research in Economics (former)
Dewey Decimal Classification:330 Economics
Language:English
Date:October 2003
Deposited On:29 Nov 2011 22:32
Last Modified:12 Aug 2017 12:55
Series Name:Working paper series / Institute for Empirical Research in Economics
ISSN:1424-0459
Official URL:http://www.econ.uzh.ch/wp.html

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