Equilibrium Delay and Non-Existence of Equilibrium in Unanimity Bargaining Games

Non-Cooperative Games: Equilibrium Existence

This entry in The New Palgrave Dictionary of Economics, Second Edition, provides a brief overview of equilibrium existence results for continuous and discontinuous non-cooperative games. JEL Classi…cation Number: C7

Equilibrium Behavior in Crisis Bargaining Games

Existence of Nash Equilibrium in Discontinuous Games∗

This paper offers an equilibrium existence theorem in discontinuous games. We introduce a new notion of continuity, called quasi-weak transfer continuity that guarantees the existence of pure strategy Nash equilibrium in compact and quasiconcave games. We also consider possible extensions and improvements of the main result. Our conditions are simple and easy to verify. We present applications ...

Bargaining Equilibrium in a Non-Stationary Environment

In this paper we study an alternating-offers bargaining model in which the set of possible utility pairs evolves through time in a non-stationary, but smooth manner. In general there exists a multiplicity of subgame perfect equilibria. However, we show that in the limit as the time interval between two consecutive offers becomes arbitrarily small, there exists a unique subgame perfect equilibri...

Bargaining, Reputation and Equilibrium Selection in Repeated Games with Contracts1

Consider a two-person intertemporal bargaining problem in which players choose actions and o¤ers each period and collect payo¤s (as function of that period’s actions) while bargaining proceeds. This can alternatively be viewed as an in…nitely-repeated game wherein players can o¤er one another enforceable contracts that govern play for the rest of the game. Theory is silent regarding how the sur...