We prove existence and purification results for strategic environments possessing a product structure that includes classes of large games, stochastic games, and models of endogenous institutions. Applied to large games, the results yield existence of pure-strategy equilibria allowing for...

Random matching models with different states are an important class of dynamic games; for example, money search models, job search models, and some games in biology are special cases.In this paper, we investigate the basic structure of the models: the existence of equilibria, the global...

We investigate the differences and connections between discrete-space and continuous-space social interaction models. Although our class of continuous-space model has a unique equilibrium, we find that discretized models can have multiple equilibria for any degree of discretization, which...

We present attractiveness, a refinement criterion for evolutionary equilibria. Equilibria surviving this criterion are robust to small perturbations of the underlying payoff system or the dynamics at hand. Furthermore, certain attractive equilibria are equivalent to others for certain...

We call a correspondence, defined on the set of mixed strategy profiles, a generalized best reply correspondence if it has (1) a product structure, is (2) upper semi-continuous, (3) always includes a best reply to any mixed strategy profile, and is (4) convex- and closed-valued. For each...

This paper provides an in-depth study of the (most) refined best reply correspondence introduced by Balkenborg, Hofbauer, and Kuzmics (2012). An example demonstrates that this correspondence can be very different from the standard best reply correspondence. In two-player games, however, the...

This paper derives the dynamic implications for price setting in an Edgeworth oligoppoly game with N2 competitors. The impetus to the dynamic game are "conjectured" variations in the prices set by competing firms whereby each firm expresses its belief that a decrease in its own price will be met...

In this article, we propose a Snowdrift Game with costly punishment in a spatial-structured two-population arrangement. In order to generate the results, we use the Agent Based Simulation (ABS) model. The numerical simulations as well as the dynamics observed in the ABS are analyzed and...

We call a correspondence, defined on the set of mixed strategy profiles, a generalized best-reply correspondence if it has (1) a product structure, is (2) upper hemi--continuous, (3) always includes a best-reply to any mixed strategy profile, and is (4) convex- and closed-valued. For each...

In this paper the extended model of Minority game (MG), incorporating variable number of agents and therefore called Grand Canonical, is used for prediction. We proved that the best MG-based predictor is constituted by a tremendously degenerated system, when only one agent is involved. The...