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On approximations of nonzero-sum uniformly continuous ergodic stochastic games

100%
Nowak A. S.
Applicationes Mathematicae
|
1999
|
tom 26
|
nr 2
221-228
EN
We consider a class of uniformly ergodic nonzero-sum stochastic games with the expected average payoff criterion, a separable metric state space and compact metric action spaces. We assume that the payoff and transition probability functions are uniformly continuous. Our aim is to prove the existence of stationary ε-equilibria for that class of ergodic stochastic games. This theorem extends to a much wider class of stochastic games a result proven recently by Bielecki [2].
2
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Some remarks on equilibria in semi-Markov games

100%
Nowak A. S.
Applicationes Mathematicae
|
2000
|
tom 27
|
nr 4
385-394
EN
This paper is a first study of correlated equilibria in nonzero-sum semi-Markov stochastic games. We consider the expected average payoff criterion under a strong ergodicity assumption on the transition structure of the games. The main result is an extension of the correlated equilibrium theorem proven for discounted (discrete-time) Markov games in our joint paper with Raghavan. We also provide an existence result for stationary Nash equilibria in the limiting average payoff semi-Markov games with state independent and nonatomic transition probabilities. A similar result was proven for discounted Markov games by Parthasarathy and Sinha.
3
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A generalization of Ueno's inequality for n-step transition probabilities

100%
Nowak A. S.
Applicationes Mathematicae
|
1998-1999
|
tom 25
|
nr 3
295-299
EN
We provide a generalization of Ueno's inequality for n-step transition probabilities of Markov chains in a general state space. Our result is relevant to the study of adaptive control problems and approximation problems in the theory of discrete-time Markov decision processes and stochastic games.
4
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On convex combinations of two values

64%
Nowak A. S., Radzik T.
Applicationes Mathematicae
|
1996-1997
|
tom 24
|
nr 1
47-56
EN
We study values for cooperative TU-games which are convex combinations of the Shapley value and the solidarity value, introduced in our recent paper [1]. First, we axiomatize the convex combination of the two values in the case when the coefficients are given exogenously. Next, we give an axiomatic description of the whole family of such values.
5
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Teoria gier na konferencjach na Politechnice Wrocławskiej

51%
Nowak A. S., Malawski M., Szajowski K.
Mathematica Applicanda
|
2009
|
tom 37
|
nr 51/10
PL
SING i ISDG
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