"Montes-de-Oca, R." . "11"^^ . . "670" . . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "1"^^ . . "This note deals with Markov decision chains evolving on a denumerable state space. Under standard continuity compactness requirements, an explicit example is provided to show that, with respect to a strong sample-path average reward criterion, the Lyapunov function condition does not ensure the existence of an optimal stationary policy."@en . . . . "A Counterexample on Sample-Path Optimality in Stable Markov Decision Chains with the Average Reward Criterion" . "3"^^ . "Journal of Optimization Theory and Applications" . "I" . "A Counterexample on Sample-Path Optimality in Stable Markov Decision Chains with the Average Reward Criterion" . . . "000343160900017" . "A Counterexample on Sample-Path Optimality in Stable Markov Decision Chains with the Average Reward Criterion"@en . "[C3E58CDA7865]" . . "A Counterexample on Sample-Path Optimality in Stable Markov Decision Chains with the Average Reward Criterion"@en . "RIV/67985556:_____/14:00432661" . "RIV/67985556:_____/14:00432661!RIV15-AV0-67985556" . "Cavazos-Cadena, R." . . "Strong sample-path optimality; Lyapunov function condition; Stationary policy; Expected average reward criterion"@en . "163" . . "Sladk\u00FD, Karel" . "10.1007/s10957-013-0474-6" . "2" . "0022-3239" . . . . . "This note deals with Markov decision chains evolving on a denumerable state space. Under standard continuity compactness requirements, an explicit example is provided to show that, with respect to a strong sample-path average reward criterion, the Lyapunov function condition does not ensure the existence of an optimal stationary policy." .