This paper proposes conditions for the existence and uniqueness of solutions to systems of linear differential or …

This paper investigates the existence of pure strategy, dominant strategy, and mixed strategy Nash equilibria in … quasiconcavity introduced in the paper, is enough to guarantee the existence of Nash equilibria in compact and convex normal form … show the existence of dominant strategy and mixed strategy Nash equilibria in discontinuous games. …

existence of equilibrium for the generalized games (the so-called abstract economics) and Nash equilibrium for games where the … payoff functions and the feasible strategy correspondences are not lowersemicontinuous. Thus the existence theorems given in … this paper generalize many existence theorems on Nash equilibrium and equilibrium for the generalized games in the …

financed by voluntary contributions (subscriptions) of households. We prove existence and generic regularity of subscription …

number of equilbria is odd. As a corollary, this gives a new proof of existence and gives conditions that guarantee global …