In a finite two player game consider the matrix of one player’s payoff difference between any two consecutive pure strategies. Define the half space induced by a column vector of this matrix as the set of vectors that form an obtuse angle with this column vector. We use Farkas’ lemma to show...

We consider ergodic symmetric N-player and mean-field games of singular control in both cooperative and competitive settings. The state process dynamics of a representative player follow geometric Brownian motion, controlled additively through a nondecreasing process. Agents aim to maximize a...

We study how spillovers from water pollution cleanup in the Ganges affect social welfare in an aggregate economy consisting of Kanpur and Varanasi, two cities through which this river flows. We view pollution cleanup in both cities as a local public good and point out that, if Kanpur cleans up...