A player inuences a collective outcome if his actions can change the probability of that outcome. He is Æ-pivotal if this change exceeds some threshold Æ. We study inuence in general environments with N players and arbitrary sets of signals. It is shown that inuence is maximized when players'...

Saborian [8], following Green [4], studies a class of repeated games where a player's payoff depends on his stage action and an anonymous aggregate outcome, and shows that long-run players behave myopically in any equilibrium of such games. In this paper we extend Sabourian's results to games...

This paper develops a framework in which a model with a continuum of agents and with individual and aggregate risks can be viewed as an idealization of large finite economies. The paper identifies conditions under which a sequence of finite economies gives rise to a limiting continuum economy in...

We prove an existence result for games with incomplete information with continuous type spaces under the assumption that players have atomic posteriors. This information structure is an extreme example of the failure of absolute continuity of information, hence our result complements the...

Consider a probability distribution governing the evolution of a descrete-time stochastic process. Such a distribution may be represented as a convex combination of more elementary probability measures, with the interpretation of a two-stage Bayesian procedure. In the first stage, one of the...

The paper develops a new modeling framework to study factor structures and Arbitrage Pricing Theory in large asset markets. The asset economy in this framework consists of a continuum of assets. Finite subsets of assets are interpreted as random draws from the underlying economy. I show that the...

The paper studies a contracting problem in which a Principal enters in two-sided moral hazards with N independent agents. There are no technological or informational linkages between the N agency problems: The Principal's costs are additive across agents; there is no common uncertainty in the...