We extend Kohlberg and Mertens' (1986) structure theorem on the Nash correspondence to show that its graph is not only homeomorphic to the underlying space of games, but that the homeomorphism extends to the ambient space of games times strategies, thus implying the graph is unknotted. This has...

By identifying types whose low-order beliefs - up to level li - about the state of nature coincide, we obtain quotient type spaces that are typically smaller than the original ones, preserve basic topological properties, and allow standard equilibrium analysis even under bounded reasoning. Our...

Predictions under common knowledge of payoffs may differ from those under arbitrarily, but finitely, many orders of mutual knowledge; Rubinstein's (1989)Email game is a seminal example. Weinstein and Yildiz (2007) showed that the discontinuity in the example generalizes: for all types with...

This paper shows a fundamental property of vector fields representing dynamics on spaces of mixed strategies of normal form games whose zeros coincide with the Nash equilibria of the underlying games. The property shown is that the indices of components of zeros of any vector field in this class...

The collection of information necessary for decision-making is often delegated to agents (e.g. bureaucrats, advisors, lawyers). If both the pros and cons of a decision have to be examined, it is better to use competing agents instead of a single agent. The reason is that two conflicting pieces...

Under-representation of women in high level positions is widespread and persistent. We analyze the consequences of labor market quotas for the wages of women in high level positions. The key point of our paper is that quotas cause asymmetric information about why women work in high level...

This article analyzes under which conditions a manager can motivate a junior worker by verbal communication, and explains why communication is often tied up with organizational choices as job enlargement and collaboration. Our model has two important features. First, the manager has more...

Democracies delegate substantial decision power to politicians. Using a model in which an incumbent can design, examine and implement public policies, we show that examination takes place in spite of, rather than thanks to, elections. Elections are needed as a carrot and a stick to motivate...

This paper is concerned with the role of committees in collective decision-making processes in a world where agents must be motivated to collect information. Committees improve the quality of decision-making by providing information and by coordinating the collection of information. We address...

Social media are at the center of countless debates on polarization, misinformation, and even the state of democracy in various parts of the world. An essential feature of social media is the ranking algorithm that determines how content is presented to the users. This paper studies the dynamic...