Additively Coupled Sum Constrained Games

Remarks on Nash Equilibria for Games with Additively Coupled Payoos (revision, Previous Title: an Unusual Nash Equilibrium Result and Its Application to Games with Allocations in Innnite Dimensions)

A TRANSITION FROM TWO-PERSON ZERO-SUM GAMES TO COOPERATIVE GAMES WITH FUZZY PAYOFFS

In this paper, we deal with games with fuzzy payoffs. We proved that players who are playing a zero-sum game with fuzzy payoffs against Nature are able to increase their joint payoff, and hence their individual payoffs by cooperating. It is shown that, a cooperative game with the fuzzy characteristic function can be constructed via the optimal game values of the zero-sum games with fuzzy payoff...

Data-Based Reinforcement Learning Algorithm with Experience Replay for Solving Constrained Nonzero-Sum Differential Games

In this paper a partially model-free reinforcement learning (RL) algorithm based on experience replay is developed for finding online the Nash equilibrium solution of the multi-player nonzero-sum (NZS) differential games. In order to avoid the performance degradation or even system instability, the amplitude limitation on the control inputs is considered in the design procedure. The proposed al...

Computing stable outcomes in symmetric additively-separable hedonic games

We study the computational complexity of finding stable outcomes in hedonic games, which are a class of coalition formation games. We restrict our attention to symmetric additively-separable hedonic games, which are a nontrivial subclass of such games that are guaranteed to possess stable outcomes. These games are specified by an undirected edgeweighted graph: nodes are players, an outcome of t...

Soft-constrained stochastic Nash games for weakly coupled large-scale systems

In this paper, we discuss infinite-horizon soft-constrained stochastic Nash games involving state-dependent noise in weakly coupled large-scale systems. First, we formulate linear quadratic differential games in which robustness is attained against model uncertainty. It is noteworthy that this is the first time conditions for the existence of robust equilibria have been derived based on the sol...