A variational formula for risk-sensitive reward
January 04, 2015 Β· Declared Dead Β· π 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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