We consider a setting where in a future known time, a certain continuous variable will be realized.There is a public prediction that converges to its value, and an expert has access to a more accurate prediction.Our goal is to study when should the expert reveal his information, assuming that his reward is based on a logarithmic market scoring rule (i.e., his reward is proportional to the gain in log likelihood of the realized value).Our contributions are: (1) we show that the optimal expert policy is threshold based.

As economic systems "move" to the Internet, they can become much more complex and this new complexity often becomes their defining characteristic.  We will consider a very simple scenario of this form: a single seller that is selling multiple items to a single buyer.  We will discuss the question of how  *complex* must the pricing scheme be in order for the seller to maximize (approximately, at least) his revenue.Based on joint works with Sergiu Hart, with Shaddin Duhgmi and Li Han and with Moshe Babioff and Yannai Gonczarowski. 

Decentralized markets are often characterized as opaque and prone to trade delays, leading to the perception that they are less efficient  than standard centralized limit order markets. We show that in the presence of information  asymmetries decentralized markets can promote higher trade efficiency  than centralized limit order markets through at least two channels.

he talk will attempt to characterize good strategies for some special cases of stochastic games. For instance, the talk will argue that there might always be a good strategy with a certain property for all games in a special case of stochastic games or that no good strategy exists that have some property for some game.

We study a multi-dimensional collective decision under incomplete information. With votes taken by simple majority in each dimension, the outcome is the coordinate-wise median. But, judicious rotations of the orthogonal axes - the dimensions, or issues that are voted upon - lead to welfare improvements. Such rotations cover the entire set of anonymous, Pareto efficient and dominant strategy incentive compatible mechanisms in our environment (Kim and Rousch (1984) and Peters et. al (1992)).

We extend Kreps and Wilson's 1982 definition of sequential equilibrium to multi-stage games with infinite sets of signals and actions. We define “broad sequential epsilon-equilibria” by properties of “sequential epsilon-rationality” and “broad consistency.” Given beliefs, a player's strategy is sequentially epsilon-rational if, at every date t, at every possible signal outside a uniformly unlikely set, the player cannot expect to gain more than epsilon by any feasible deviation.

We consider a decision maker with recursive utility, as formalized by Epstein and Zin (1989). We show that, as this decision maker  becomes more patient, his ranking of conditionally i.i.d. processes is approximately that of an expected utility decision maker.

We consider two-player repeated games, where the players observe their own payoffs with a positive probability. Typically, a player observes neither the other's actions nor her payoff.  We show that knowing her own payoff is sufficient to obtain any strictly efficient payoff  by sequential equilibrium, when costly communication is available and the players are  sufficiently patient.

For a constant ε>0, we prove a poly(N) lower bound on the (randomized) communication complexity of ε-Nash equilibrium in two-player N×N games.For n-player binary-action games we prove an exp(n) lower bound for the (randomized) communication complexity of (ε,ε)-weak approximateNash equilibrium, which is a profile of mixed actions such that at least (1-ε)-fraction of the players are ε-best replying. 

Risks related to events that arrive randomly play important role in many real life decisions, and models of learning and experimentation based on two-armed Poisson bandits addressed several important aspects related to strategic and motivational learning in cases when events arrive at jumps times of the standard Poisson process. At the same time, these models remain mostly abstract theoretical models with few direct economic applications.

A long-standing tradition models legal enforcement as being distinct from community enforcement, whereby individuals follow the law because legal enforcement constrains the actions that players may take or fixes their payoffs from their actions.

We provide an axiomatic characterization of an income segregation index in school districts. One axiom requires that single-school districts be the least segregated of all districts. A second axiom requires that any reorganization of a subdistrict that raises its segregation, raises the districtwide segregation as well. A third axiom requires an intuitive decomposition by subdistricts into within-district and between-district terms.