We analyze boundedly rational updating from aggregate statistics in a modelwith binary actions and binary states. Agents each take an irreversible action in sequence after observing the unordered set of previous actions. Each agent first forms her prior based on the aggregate statistic, then...

We address the question to which degree the private information of a decision maker is revealed through his action, in an environment with compact metrizable state and action space. We show that the decision maker's optimal action reveals his posterior distribution for a generic set of...

This paper provides a model of social learning where the order in which actions are taken is determined by an m-dimensional integer lattice rather than along a line as in the herding model. The observation structure is determined by a random network. Every agent links to each of his preceding...

This paper provides a model of social learning where the order in which actions are taken is determined by an $m$-dimensional integer lattice rather than along a line as in the herding model. The observation structure is determined by a random network. Every agent links to each of his preceding...

An investor has a strictly increasing Bernoulli utility function. He chooses an expected utility maximizing portfolio among a finite set of assets with random return profile. A compensation scheme assigns positive payments to the investor depending on his portfolio and the realized return...

This paper analyzes a sequential social learning game with a general utility function, state and action space. We show that asymptotic learning holds for every utility function if and only if signals are totally unbounded, i.e., the support of the private posterior probability of every event...

Mean-preserving contractions are critical for studying Bayesian models of information design. We introduce the class of bi-pooling policies, and the class of bi-pooling distributions as their induced distributions over posteriors. We show that every extreme point in the set of all...

We propose a simple adaptive procedure for playing strategic games: average testing. In this procedure each player sticks to her current strategy if it yields a payoff that exceeds her average payoff by at least some fixed \epsilon 0; otherwise she chooses a strategy at random. We consider...

The canonical Bayesian persuasion setting studies a model where an informed agent, the Sender, can partially share his information with an uninformed agent, the Receiver. The Receiver's utility is a function of the state of nature and the Receiver's action while the Sender's is only a function...

New ways of doing things often get started through the actions of a few innovators, then diffuse rapidly as more and more people come into contact with prior adopters in their social network. Much of the literature focuses on the speed of diffusion as a function of the network topology. In...