This research states the stylised n (more than two) players' splitting problem as a mathematical programme, relying on definitions of the values of the game and problem stationarity to generate tractable reduced forms, and derives the known solutions according to the properties of pertaining...

This chapter is devoted to the study of Nash equilibria, and correlated equilibria in both finite and infinite games. We restrict our discussions to only those properties that are somewhat special to the case of two-person games. Many of these properties fail to extend even to three-person...

The transformation of the European energy system requires substantial investment in transmission capacity to facilitate cross-border trade and to efficiently integrate renewable energy sources. However, network planning in the EU is still mainly a national prerogative. In contrast to other...

We consider a basic stochastic evolutionary model with rare mutation and a best-reply (or better-reply) selection mechanism. Following Young's papers, we call a state stochastically stable if its long-term relative frequency of occurrence is bounded away from zero as the mutation rate decreases...

This paper applies the framework of endogenous timing in games to mixed quantity duopoly, wherein a private domestic or foreign firm competes with a public, welfare maximizing firm. We show that simultaneous play never emerges as a subgame-perfect equilibrium of the extended game, in sharp...

In this paper, we study full implementation problem by mechanisms that allow delay. The delay on the equilibrium path may be zero, infinitesimally small or a fixed positive number. In all these three cases, implementable rules are characterized by a monotonicity-like condition alone, including...

This paper provides a different approach to establish the uniqueness of equilibrium in Tullock con- tests between two players with asymmetric valuations, when the discriminatory power r is between 1 and 2. Our result complements that of Ewerhart (2017) in Ölling up the remaining gap in the...

We establish the existence of pure strategy equilibria in games with discontinuous payoffs where the set of feasible actions of each player varies, also in a discontinuous fashion, as a function of the actions of the other players. Such games are used in modeling abstract economies and other...

I introduce an undominated coalition-proof Nash equilibrium that is unique and is able to select undominated Nash equilibria in a quasi-supermodular game with a strict single-crossing property and monotonic externalities

Harris, Reny, and Robson (Econometrica, 1995) add a public randomization device to dynamic games with almost perfect information to ensure existence of subgame perfect equilibria (SPE). We show that when nature's moves are atomless in the original game, SPE obtained via this channel can be...