We study dynamic signaling in a game of stochastic stakes. Each period, a privately informed agent of binary type chooses whether to continue receiving a return that is an increasing function of both her reputation and an exogenous public stakes variable or to irreversibly exit the game. A...

We consider a Bayesian persuasion problem where a sender's utility depends only on the expected state. We show that upper censorship that pools the states above a cutoff and reveals the states below the cutoff is optimal for all prior distributions of the state if and only if the sender's...

The main purpose of this paper is to provide a simple criterion enabling to conclude that two agents do not share a common prior. The criterion is simple, as it does not require information about the agents' knowledge and beliefs, but rather only the record of a dialogue between the agents. In...

We investigate strategic information transmission with communication error, or noise. Our main finding is that adding noise can improve welfare. With quadratic preferences and a uniform type distribution, welfare can be raised for almost every bias level by introducing a sufficiently small...

An innovation (e.g., new product or idea) spreads like a virus, transmitted by those who have previously adopted it. Agents update their beliefs about innovation quality based on private signals and when they hear about the innovation. We characterize equilibrium adoption dynamics and the...

We study equilibrium behavior in incomplete‐information games under two information constraints: seeds and spillovers. The former restricts which agents can initially receive information. The latter specifies how this information spills over to other agents. Our main result characterizes the...

We propose a standard search and bargaining model with divisible money, in which only the random matching market opens and the generalized Nash bargaining settles each trade. Assuming fixed production costs, we analytically characterize a tractable equilibrium, called a pay‐all equilibrium ,...

We study flexible public information design in global games. In addition to receiving public information from the designer, agents are endowed with exogenous private information and must decide between two actions (invest and not invest), the profitability of which depends on unknown...

In many markets, sellers advertise their good with an asking price. This is a price at which the seller will take his good off the market and trade immediately, though it is understood that a buyer can submit an offer below the asking price and that this offer may be accepted if the seller...

We study learning and information acquisition by a Bayesian agent whose prior belief is misspecified in the sense that it assigns probability 0 to the true state of the world. At each instant, the agent takes an action and observes the corresponding payoff, which is the sum of a fixed but...