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An optimal betting strategy for repeated games

  • Gary Gottlieb (a1)


We consider the problem of finding a betting strategy for an infinite sequence of wagers where the optimality criterion is the minimization of the expected exit time of wealth from an interval. We add the side constraint that the right boundary is hit first with at least some specified probability. The optimal strategy is derived for a diffusion approximation.


Corresponding author

Postal address: Department of Quantitative Analysis, College of Business and Public Administration, New York University, Washington Square, New York, NY 10003, USA.


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An optimal betting strategy for repeated games

  • Gary Gottlieb (a1)


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