Optimal Illusions and Decisions Under Risk

32 Pages Posted: 14 Jan 2005

See all articles by Christian Gollier

Christian Gollier

University of Toulouse 1 - Industrial Economic Institute (IDEI); CESifo (Center for Economic Studies and Ifo Institute)

Date Written: January 2005

Abstract

We examine a static one-risk-free-one-risky asset portfolio choice when the investor's well-being is affected by the anticipatory feelings associated to potential capital gains and losses. These feelings can be manipulated by the choice of subjective beliefs on the distribution of returns. However, the bias of these endogenous subjective beliefs induces the choice of a portfolio that is suboptimal with respect to the objective expected utility of final wealth. We characterize the structure of these optimal beliefs. We first show that optimal subjective beliefs must be degenerated with only two possible returns. Moreover, under some weak conditions on the utility function, these two atoms are at the lower and upper bounds of the objectively feasible returns. When the intensity of anticipatory feelings is small, the formation of beliefs must be biased in favor of optimism, which implies an increase in the equilibrium demand for the risky asset. We also show that the optimal beliefs are approximately independent of the investor's degree of risk aversion.

Keywords: Anticipatory feelings, portfolio choice, overconfidence, positive thinking, endogenous beliefs

JEL Classification: D81

Suggested Citation

Gollier, Christian, Optimal Illusions and Decisions Under Risk (January 2005). CESifo Working Paper Series No. 1382. Available at SSRN: https://ssrn.com/abstract=648602

Christian Gollier (Contact Author)

University of Toulouse 1 - Industrial Economic Institute (IDEI) ( email )

Manufacture des Tabacs
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CESifo (Center for Economic Studies and Ifo Institute) ( email )

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Munich, DE-81679
Germany

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