In this survey article, we report results on the existence of pure-strategy Nash equilibria in
games with an atomless continuum of players, each with an action set that is not necessarily …

A Fubini extension is formally introduced as a probability space that extends the usual
product probability space and retains the Fubini property. Simple measure-theoretic …

We study reputation dynamics in continuous‐time games in which a large player (eg,
government) faces a population of small players (eg, households) and the large player's …

This paper introduces a new model of environments with a large number of agents and
stochastic characteristics. We consider sequences of finite but increasingly large economies …

We formulate a stability notion for two‐sided pairwise matching problems with individually
insignificant agents in distributional form. Matchings are formulated as joint distributions over …

An atomless probability space (Ω, A, P) is said to have the saturation property for a
probability measure μ on a product of Polish spaces X× Y if for every random element f of X …

This book has grown out of a decade and a half of joint research that resulted in the articles
underlying it (Alós-Ferrer and Ritzberger 2005a, b, Alós-Ferrer and Ritzberger 2008, Alós …

Over the years, several formalizations and existence results for games with a continuum of
players have been given. These include those of Schmeidler [D. Schmeidler, Equilibrium …

This paper offers a resolution to an extensively studied question in theoretical economics:
which measure spaces are suitable for modeling many economic agents? We propose the …

We consider Nash equilibria of large anonymous games (ie, each player's payoff depends
on his choice and the distribution of the choices made by others). We show that pure …