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Nash Equilibria for Exchangeable Team against Team Games, their Mean Field Limit, and Role of Common Randomness
Sina Sanjari, Naci Saldi, Serdar Yüksel
We study stochastic mean-field games among finite number of teams with large finite as well as infinite number of decision makers. For this class of games within static and dynamic…
Regularized Stochastic Team Problems
Naci Saldi
In this paper, we introduce regularized stochastic team problems. Under mild assumptions, we prove that there exists an unique fixed point of the best response operator, where this…
Geometry of Information Structures, Strategic Measures and associated Control Topologies
Naci Saldi, Serdar Yuksel
In many areas of applied mathematics, engineering, and social and natural sciences, decentralization of information is a key aspect determining how to approach a problem. In this r…
Discrete-time average-cost mean-field games on Polish spaces
Naci Saldi
In stochastic dynamic games, when the number of players is sufficiently large and the interactions between agents depend on empirical state distribution, one way to approximate the…
Weak Feller Property of Non-linear Filters
Ali Devran Kara, Naci Saldi, Serdar Yüksel
Weak Feller property of controlled and control-free Markov chains lead to many desirable properties. In control-free setups this leads to the existence of invariant probability mea…
Finite-State Approximations to Discounted and Average Cost Constrained Markov Decision Processes
Naci Saldi
In this paper, we consider the finite-state approximation of a discrete-time constrained Markov decision process (MDP) under the discounted and average cost criteria. Using the lin…