Globally evolutionarily stable portfolio rules
详细信息 查看全文
- 作者：Igor V. Evstigneev ; Thorsten Hens ; Klaus Reiner Schenk-Hoppé
- 关键词：Evolutionary finance ; Wealth dynamics ; Survival and extinction of portfolio rules ; Evolutionary stability ; Kelly rule
- 刊名：Journal of Economic Theory
- 出版年：2008
- 出版时间：May 2008
- 年：2008
- 卷：140
- 期：1
- 页码：197-228
- 全文大小：345 K
文摘
The paper examines a dynamic model of a financial market with endogenous asset prices determined by short-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.