Abstract
Let be an optional stochastic process and let be the directed set of almost-surely-finite stopping times. If lim , then
This equality is employed in studying the continuous-time gambler's problem, as formulated by Heath and Sudderth (1974). The optimal return function is shown to be upper semi-analytic and excessive whenever the utility function is Borel.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
Reference14 articles.
1. On the Expected Value of a Stopped Martingale
2. Pestien V. C. (1980) Stopping-time-indexed Convergence and Measurable Gambling. Thesis, Dept. of Math., University of California, Berkeley.
3. Persistently ϵ-Optimal Strategies
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