Competition between oligopolist electricity generators is inhibited by transmission constraints. I present a supply function equilibrium (SFE) model of an electricity market with a single lossless, but constrained, transmission line. The market admits equilibria in which generator withhold...

There are three types of "Anything Goes" results: two of them from economic theory and one from the realms of dynamical systems. The study considers the implications of such results and tries to identify conditions under which certain types of conclusions may be implied: convergence, cycles or...

Embarking from the concept of uniform payoff security (Journal of Econonomic Theory, Vol. 134, 2007), we introduce two other uniform conditions and then study the existence of mixed strategy Nash equilibria in games where the sum of the payoff functions is not necessarily upper semicontinuous

We present two new notions of evolutionary stability, the truly evolutionarily stable state (TESS) and the generalized evolutionarily stable equilibrium (GESE). The GESE generalizes the evolutionarily stable equilibrium (ESE) of Joosten [1996]. An ESE attracts all nearby trajectories...

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...

Through building the statistical structure of game theory, this paper develops a paradigm of rationality and equilibrium to model collective and interactive behaviors for various economic ecologies from a perfect organizing corporation to a complete freedom population such as an anarchy. In...

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...

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...

I propose a simple simulation procedure for large games with multiple equilibria. The simulation procedure is based on a best-response dynamic. The implied equilibrium selection mechanism is intuitive: more stable equilibria are selected with higher probability

I provide conditions that guarantee that a Stackelberg game with a setup cost and an integer number of leaders and followers has an equilibrium in pure strategies. The main feature of the game is that when the marginal follower leaves the market the price jumps up, so that a leader's payoff is...