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Globally evolutionarily stable portfolio rules


Evstigneev, Igor V; Hens, Thorsten; Schenk-Hoppé, Klaus Reiner (2008). Globally evolutionarily stable portfolio rules. Journal of Economic Theory, 140(1):197-228.

Abstract

hort-run equilibrium of supply and demand. Assets pay dividends that are partially consumed and partially
reinvested. The traders use fixed-mix investment strategies (portfolio rules), distributing their wealth between
assets in fixed proportions. Our main goal is to identify globally evolutionarily stable strategies, allowing an
investor to “survive,” i.e., to accumulate in the long run a positive share of market wealth, regardless of the
initial state of the market. It is shown that there is a unique portfolio rule with this property—an analogue
of the famous Kelly rule of “betting your beliefs.” A game theoretic interpretation of this result is given.

Abstract

hort-run equilibrium of supply and demand. Assets pay dividends that are partially consumed and partially
reinvested. The traders use fixed-mix investment strategies (portfolio rules), distributing their wealth between
assets in fixed proportions. Our main goal is to identify globally evolutionarily stable strategies, allowing an
investor to “survive,” i.e., to accumulate in the long run a positive share of market wealth, regardless of the
initial state of the market. It is shown that there is a unique portfolio rule with this property—an analogue
of the famous Kelly rule of “betting your beliefs.” A game theoretic interpretation of this result is given.

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15 citations in Web of Science®
24 citations in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, further contribution
Communities & Collections:03 Faculty of Economics > Department of Banking and Finance
Dewey Decimal Classification:330 Economics
Language:English
Date:May 2008
Deposited On:10 Nov 2011 15:04
Last Modified:07 Dec 2017 09:32
Publisher:Elsevier
ISSN:0022-0531
Publisher DOI:https://doi.org/10.1016/j.jet.2007.09.005
Related URLs:http://papers.ssrn.com/sol3/papers.cfm?abstract_id=804346

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