On the Existence of Nash Equilibria in Asymmetric Sporting Contests with Managerial Efficiency

Efficiency and Existence of Nash Equilibria with Multidimensional Screening

On the Existence of Strong Nash Equilibria

This paper investigates the existence of strong Nash equilibria (SNE) in continuous and concave games. We show that the coalition consistence property introduced in the paper, together with the concavity and continuity of payoffs, permits the existence of strong Nash equilibria in games with compact and convex strategy spaces. The coalition consistency property is a general condition that canno...

On the Unique Existence of Pure - Strategy Nash Equilibrium in Smooth Asymmetric Contests

There can be three types of heterogeneity among players in a rent-seeking contest. First, the efectiveness of agent's efort on the winning probabilities may difer among players. Secondly, players may evaluate the rent or prize of the rent-seeking contest diferently. Thirdly, players may face diferent financial constraints. Without assuming that each player’s production function for loteries is ...

Existence and Efficiency of Nash Equilibria under Deterministic Voting

This paper considers an economy with a public good where a decision must be made both about the level of the public good and the taxation imposed on each citizen (multi-dimensional policy space). In this context, we derive two results: i) we show that a Nash equilibrium exists under deterministic voting, ii) we show that political competition is a necessary but not sufficient condition for the ...

Existence of Nash Equilibria on Convex Sets

We analyze a non-cooperative game in which the set of feasible strategy profiles is compact and convex but possibly non-rectangular. Thus, a player's feasible strategies may depend on the strategies used by others, as in Debreu's (1952, 1982) generalized games. In contrast to the model of Debreu, we do not require preferences to be defined over infeasible strategy profiles, and we do not requir...