Stochastic population games with individual independent states and coupled constraints
نویسندگان
چکیده
This paper studies non-cooperative population games with several individual states and independent Markov process. Each member of each class of the population has (i) its own state (ii) its actions in each state, (iii) an instantaneous reward which depends on its state and the population’s profile, (iv) a time-average (coupled) constraints. We apply this model to battery-dependent power control in wireless networks with several types of renewable energies. We show that the game has an equilibrium in stationary strategies under ergodic assumptions and we present a class of evolutionary game dynamics which converge to stationary equilibria.
منابع مشابه
Noisy mean field stochastic games with network applications
We consider a class of stochastic games with finite number of resource states, individual states and actions per states. At each stage, a random set of players interact. The states and the actions of all the interacting players determine together the instantaneous payoffs and the transitions to the next states. We study the convergence of the stochastic game with variable set of interacting pla...
متن کاملConstrained cost-coupled stochastic games with independent state processes
We consider a non-cooperative constrained stochastic games with N players with the following special structure. With each player i there is an associated controlled Markov chain MDPi. The transition probabilities of the ith Markov chain depend only on the state and actions of controller i. The information structure that we consider is such that each player knows the state of its own MDP and its...
متن کاملAdaptive Mean Field Games for Large Population Coupled ARX Systems with Unknown Coupling Strength
This paper is concerned with decentralized tracking-type games for large population multi-agent systems with mean-field coupling. The individual dynamics are described by stochastic discrete-time auto-regressive models with exogenous inputs (ARX models), and coupled by terms of the unknown population state average (PSA) with unknown coupling strength. A two-level decentralized adaptive control ...
متن کاملAn Institutional Mechanism for Assortment in an Ecology of Games
Recent research has revived Long's "ecology of games" model to analyze how social actors cooperate in the context of multiple political and social games. However, there is still a paucity of theoretical work that considers the mechanisms by which large-scale cooperation can be promoted in a dynamic institutional landscape, in which actors can join new games and leave old ones. This paper develo...
متن کاملDistributed Multi-Agent Decision-Making with Partial Observations: Asymptotic Nash Equilibria
We consider dynamic games in a large population of stochastic agents which are coupled by both individual dynamics and costs. These agents each have local noisy measurements of its own state. We investigate the synthesis of decentralized Nash strategies for the agents. The study for this class of large-scale systems provides interesting insights into competitive decision-making with localized i...
متن کامل