If a game has a unique Nash equilibrium, then this equilibrium is arguably the solution of the game from the refinement's literature point of view. However, it might be that for almost all initial conditions, all strategies in the support of this equilibrium are eliminated by the replicator...

Abstract. This paper considers a fairly large class of noncooperative games in which strategies are jointly constrained. When what is called the Ky Fan or Nikaidô-Isoda function is convex-concave, selected Nash equilibria correspond to diagonal saddle points of that function. This feature is...

Based on a model introduced by Kaminsky, Luks, and Nelson (1984), we consider a zero-sum allocation game called the Gladiator Game, where two teams of gladiators engage in a sequence of one-to-one fights in which the probability of winning is a function of the gladiators' strengths. Each team's...

Main objects here are normal-form games, featuring uncertainty and noncooperative players who entertain local visions, form local approximations, and hesitate in making large, swift adjustments. For the purpose of reaching Nash equilibrium, or learning such play, we advocate and illustrate an...

Due to persistent unemployment, peasant families in developing countries tend to employ more labour on the leased in land plots than a capitalist would. In labour surplus societies, therefore, landlords may earn higher surplus from leasing out land than from self-cultivation. By endogenising...

We give a full characterization of the open-loop Nash equilibrium of a non-renewable resource asymmetric game. We show that (i) there almost always exists a phase where both supply simultaneously positive quantities, (ii) when the high cost mine is exploited by a number of firms that goes to...

In a recent but well known paper, Reny has proved the existence of Nash equilibria for compact and quasiconcave games, with possibly discontinuous payoff functions. In this paper, we prove that the quasiconcavity assumption in Reny's theorem can be weakened : we introduce a measure allowing to...

In this methodological paper, we prove that the key tax competition game introduced by Zodrow and Mieszkowski (1986) and Wildasin (1988), extended to asymmetric regions, possesses a Nash equilibrium under several assumptions commonly adopted in the literature : goods are supposed to be normal ;...