This chapter considers coalition formation games with hedonic preferences, which are used to model many interesting settings, such as research team formation, scheduling group activities, formation of coalition governments, clusterings in social networks, and distributed task allocation for wireless agents.Expand

It is found that Lenient-DQN agents are more likely to converge to the optimal policy in a stochastic reward CMOTP compared to standard and scheduled-HDZN agents.Expand

This paper describes algorithms for finding all Nash equilibria of a two-player game in strategic form. We present two algorithms that extend earlier work. Our presentation is self-contained, and… Expand

This work considers several natural stability requirements defined in the economics literature, and develops polynomial-time algorithms for finding stable outcomes in symmetric additively-separable hedonic games.Expand

The Lemke-Howson algorithm is the classical method for finding one Nash equilibrium of a bimatrix game. This paper presents a class of square bimatrix games for which this algorithm takes, even in… Expand

This paper uses the known connection between Markov decision processes (MDPs) and linear programming, and an equivalence between Dantzig's pivot rule and a natural variant of policy iteration for average-reward MDPs to prove that it is PSPACE-complete to find the solution that is computed by the simplex method using Dantzes' pivot rule.Expand

It is proved that Banzhaf indices can be computed in polynomial time for graphs with bounded treewidth and answered an open question of whether computing Shapley-Shubik indices for a simple game represented by the set of minimal winning coalitions is NP-hard.Expand

Inspired by the algorithm of Tsaknakis and Spirakis [28], the algorithm uses gradient descent style approach on the maximum regret of the players and can be applied to efficiently find a 0.5+δ)-Nash equilibrium in a two-player Bayesian game.Expand

A class of bimatrix games for which the Lemke-Howson algorithm takes, even in the best case, exponential time in the dimension d of the game, requiring /spl Omega/((/spl theta//sup 3/4/)/sup d/) many steps, where /spl theTA/ is the golden ratio.Expand

It is PSPACE-complete to compute any of the equilibria that could be found via the classical Lemke-How son algorithm, a complexity-theoretic strengthening of the result in [24].Expand