Evolutionary Beliefs and Financial Markets
AbstractWhy do investors keep different opinions even though they learn from their own failures and successes? Why do investors keep different opinions even though they observe each other and learn from their relative failures and successes? We analyze beliefs dynamics when beliefs result from a very general learning process that favors beliefs leading to higher absolute or relative utility levels. We show that such a process converges to the Nash equilibrium in a game of strategic belief choices. The asymptotic beliefs are subjective and heterogeneous across the agents. Optimism (respectively overconfidence) as well as pessimism (respectively doubt) emerge from the learning process. Furthermore, we obtain a positive correlation between pessimism (respectively doubt) and risk tolerance. Under reasonable assumptions, beliefs exhibit a pessimistic bias and, as a consequence, the risk premium is higher than in a standard setting.
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Bibliographic InfoPaper provided by HAL in its series Post-Print with number halshs-00778537.
Date of creation: 01 Mar 2012
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Publication status: Published, Review of Finance, 2012, en ligne
Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00778537
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heterogeneous beliefs; Beliefs formation; evolutionary game theory; risk premium; pessimism;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2014-02-02 (All new papers)
- NEP-EVO-2014-02-02 (Evolutionary Economics)
- NEP-HPE-2014-02-02 (History & Philosophy of Economics)
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