A variational formula for risk-sensitive reward

January 04, 2015 Β· Declared Dead Β· πŸ› SIAM Journal of Control and Optimization

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Authors Venkatachalam Anantharam, Vivek Shripad Borkar arXiv ID 1501.00676 Category math.OC: Optimization & Control Cross-listed cs.IT, math.PR Citations 45 Venue SIAM Journal of Control and Optimization Last Checked 6 months ago
Abstract
We derive a variational formula for the optimal growth rate of reward in the infinite horizon risk-sensitive control problem for discrete time Markov decision processes with compact metric state and action spaces, extending a formula of Donsker and Varadhan for the Perron-Frobenius eigenvalue of a positive operator. This leads to a concave maximization formulation of the problem of determining this optimal growth rate.
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