Game-Theoretic Optimal Portfolios
Management SciencePublished 1 June 1988
Robert M. Bell, Thomas M. Cover
Citations101
SJR quartileQ1
SJR score5.72
SNIP2.88
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
We show, for a wide variety of payoff functions, that the expected log optimal portfolio is also game theoretically optimal in a single play or in multiple plays of the stock market. Thus there is no essential conflict between good short-term and long-run performance. Both are achieved by maximizing the conditional expected log return.
Keywords
Decision SciencesEconomics, Econometrics and Finance
Elsevier eBooksLIFETIME PORTFOLIO SELECTION BY DYNAMIC STOCHASTIC PROGRAMMING
2,005 Citations1975Paul A. Samuelson
OPTIMAL GAMBLING SYSTEMS FOR FAVORABLE GAMES
412 Citations1962Leo Breiman
Journal of Financial and Quantitative AnalysisGeneral Proof that Diversification Pays
381 Citations1967Paul A. Samuelson
The Annals of ProbabilityAsymptotic Optimality and Asymptotic Equipartition Properties of Log-Optimum Investment
351 Citations1988P. Algoet, Thomas M. Cover
Mathematics of Operations ResearchCompetitive Optimality of Logarithmic Investment
159 Citations1980Robert M. Bell, Thomas M. Cover
The immediate goal of outperforming another investor is perfectly compatible with maximizing the asymptotic rate of return, which achieves the maximum possible growth rate of capital in repeated independent investments.
IEEE Transactions on Information TheoryAn algorithm for maximizing expected log investment return
143 Citations1984Thomas M. Cover
An upper bound on W^{\ast} is given in terms of the current portfolio and the gradient, and the convergence of the algorithm is established.
Advances in Applied ProbabilityOptimal strategies for repeated games
78 Citations1981Mark Finkelstein, Robert Whitley
World Scientific handbook in financial economic seriesOPTIMAL GAMBLING SYSTEMS FOR FAVORABLE GAMES
77 Citations2011Leo Breiman
Advances in Applied MathematicsEmpirical Bayes stock market portfolios
69 Citations1986Thomas M. Cover, David H Gluss
This sequential portfolio performs as well as the optimal portfolio based on advance knowledge of the n-period empirical distribution of the market and, to first order in the exponent, the capital resulting from this portfolio will be no less than the best of the available stocks.
