We study a hierarchical Bayesian persuasion game with a sender, a receiver, and several potential intermediaries, generalizing the framework of Kamenica and Gentzkow (2011). The sender must be persuasive through a hierarchy of intermediaries to reach the final receiver, whose action affects all...

Algorithms play an increasingly important role in economic situations. Often these situations are strategic, where the artificial intelligence may or may not be cooperative. We study the determinants and forms of algorithmic cooperation in the infinitely repeated prisoner's dilemma. We run a...

We analyze games of incomplete information and offer equilibrium predictions which are valid for, and in this sense robust to, all possible private information structures that the agents may have. We completely characterize the set of Bayes correlated equilibria in a class of games with...

We analyze games of incomplete information and offer equilibrium predictions which are valid for all possible private information structures that the agents may have. Our characterization of these robust predictions relies on an epistemic result which establishes a relationship between the set...

Game theorists typically assume that changing a game's payoff levels - by adding the same constant to, or subtracting it from, all payoffs - should not affect behavior. While this invariance is an implication of the theory when payoffs mirror expected utilities, it is an empirical question when...

We study investment and consumption decisions in a dynamic game under learning. To that end, we present a model in which agents not only extract a resource for consumption, but also invest in technology to improve the future stock. At the same time, the agents learn about the stochastic process...

We introduce the algorithmic learning equations (ALEs), a set of ordinary differential equations which characterizes the finite-time and asymptotic behaviour of the stochastic interaction between state-dependent learning algorithms in dynamic games. Our framework allows for a variety of...

We choose between alternatives without being fully informed about the rewards from different courses of action. In making our decisions, we use our own past experience and the experience of others. So the ways in which we interact - our social network - can influence our choices. These choices...

Starting with a simple economic model of the value of civil litigation from each side's perspective, this paper analyses a wide range of potential litigation cost strategies, settlement offers and negotiations, together with relevant applications and insights from game theory. Specific issues...

We analyze games of incomplete information and offer equilibrium predictions which are valid for, and in this sense robust to, all possible private information structures that the agents may have. The set of outcomes that can arise in equilibrium for some information structure is equal to the...