Optimality of Independently Randomized Symmetric Policies for Exchangeable Stochastic Teams with Infinitely Many Decision Makers

Stochastic games with infinitely many interacting agents

We introduce and study a class of infinite-horizon non-zero-sum non-cooperative stochastic games with infinitely many interacting agents using ideas of statistical mechanics. First we show, in the general case of asymmetric interactions, the existence of a strategy that allows any player to eliminate losses after a finite random time. In the special case of symmetric interactions, we also prove...

Infinitely Exchangeable Partition and Tree-valued Stochastic Processes

We discuss some aspects of infinitely exchangeable partition-valued stochastic processes. In particular, we introduce the the cut-and-paste process on the state space of partitions of the natural numbers whose sample paths differ from previously studied exchangeable coalescent (Kingman, 1982) and fragmentation (Bertoin, 2001) processes. Though it evolves differently, the cut-and-paste process p...

Optimality of Index Policies for Stochastic Scheduling with Switching Penalties

We investigate the impact of switching penalties on the nature of optimal scheduling policies for systems of parallel queues without arrivals. We study two types of switching penalties incurred when switching between queues: lump sum costs and time delays. Under the assumption that the service periods of jobs in a given queue possess the same distribution, we derive an index rule that deenes an...

Infinitely many solutions for a bi-nonlocal‎ ‎equation with sign-changing weight functions

In this paper, we investigate the existence of infinitely many solutions for a bi-nonlocal equation with sign-changing weight functions. We use some natural constraints and the Ljusternik-Schnirelman critical point theory on C1-manifolds, to prove our main results.

Optimality Of Monetary And Fiscal Policies In Iran: An Application Of The Stochastic Optimal Control Theory