Optimal doubling strategy against a suboptimal opponent (2005)

Abstract

For two-person zero-sum games, where the probability of each player winning is a continuous function of time and is known to both players, the mutually optimal strategy for proposing and accepting a doubling of the game value is known. We present an algorithm for deriving the optimal doubling strategy of a player who is aware of the suboptimal strategy followed by the opponent. We also present numerical results about the magnitude of the benefits; the results support the claim that repeated application of the algorithm by both players leads to the mutually optimal strategy.

Bibliographic entry

Katsikopoulos, K. V., & Simsek, Ö. (2005). Optimal doubling strategy against a suboptimal opponent. Journal of Applied Probability, 42, 867-872.

Miscellaneous

Publication year 2005
Document type: Article
Publication status: Published
External URL:
Categories: Probability
Keywords: doublinggamblingoptimal strategy

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