Abstract
Two-person nonzero-sum stochastic games with complete information and average cost criteria are treated. It is shown that there is a quasi-stationary deterministic 2∈-equilibrium pair if in two related zero-sum games stationary deterministic ∈-equilibrium pairs exist and a certain ergodicity property is fulfilled. This result allows us to present semicontinuity and compactness conditions sufficient for the existence of such ∈-equilibrium pairs.
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Küenle, HU. (2000). Stochastic Games with Complete Information and Average Cost Criteria. In: Filar, J.A., Gaitsgory, V., Mizukami, K. (eds) Advances in Dynamic Games and Applications. Annals of the International Society of Dynamic Games, vol 5. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1336-9_18
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DOI: https://doi.org/10.1007/978-1-4612-1336-9_18
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7100-0
Online ISBN: 978-1-4612-1336-9
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