Game Theory is the branch of applied mathematics that studies the strategic interaction among intelligent agents. So far, standard Game Theory literature has interpreted "intelligent agents" exclusively as "rational agents". This work points out that this interpretation is an important limitation since intelligence consists of more abilities, some of which...
We first introduce the concept of copulas and advocate its use for multivariate option pricing. We focus on four types of bivariate options: basket, rainbow-max, rainbow-min, and spread options. We derive expressions for these options as a function of the copula. We then construct pricing bounds for these bivariate options...
Chapter 1: (Bounds on the Counterfactual Revenue Distributions in Auctions with Reserve Prices) In first-price auctions with interdependent bidder values, the distributions of private signals and values cannot be uniquely recovered from bids in Bayesian Nash equilibria. Non-identification invalidates structural analyses that rely on exact identification of the model primitives....
The main theme of this dissertation are departures from standard assumptions in economic theory, specifically, departures from the model of subjective expected utility in decision theory.
Part 1 axiomatizes the robust control criterion of multiplier preferences introduced by Hansen and Sargent (2001). The axiomatization shows that the class of multiplier...
Several semiparametric estimators recently developed in the econometrics literature are based on the rank correlation between the dependent and explanatory variables. Examples include the maximum rank correlation estimator (MRC) of Han (1987), the monotone rank estimator (MR) of Cavanagh and Sherman (1998), the pairwise-difference rank estimators (PDR) of Abrevaya (2003),...
This thesis is organized into three essays, each with particular insights involving public policy and family formation:
In the first essay, I address the well-documented correlation between the prestige of the university and the labor market income of its graduates by investigating whether a possible medium for this effect is...
The expansion of public education at the beginning of the twentieth century had a profound effect on the American economy. This dissertation explores the impact of changing educational institutions on both individuals and communities with a study of Iowa during its introduction of modern grammar schools and high schools during...
I show that the speed of price adjustment to aggregate technology shocks is substantially larger than to monetary policy shocks. In the context of large Bayesian Vector Autoregression models, I establish that aggregate and disaggregate prices adjust very quickly to technology shocks, while they only respond sluggishly to monetary policy...
In the first chapter we analyze profits and efficiency implications of a relation between an upstream duopoly and downstream monopoly in Hotelling linear city model. While exclusive contracts maximize the monopolist's profit, at the same time socially they are inefficient. Linear prices, while more efficient, usually also do not achieve...
This dissertation consists of three essays on the identification analysis of econometric models.
The first essay explores the identification question in semiparametric binary response models when all regressors have discrete support. I suggest a recursive procedure that finds sharp bounds on the parameter of interest and can be applied to...