Vassar Scholarship

This paper examines the distribution of income in Pakistan, and in each of its four provinces, from an explicit and formal Islamic perspective. A cardinally significant Atkinson-Kolm-Sen relative index of inequality reflecting that perspective is proposed and computed from the...

The paper proposes a bimodal logic that describes an interplay between coalition strategies and distributed knowledge. Unlike the existing literature, the paper assumes that a strategy must be not only executable but also verifiable. That is, the strategy of a...

It is commonly believed that firms prefer layoffs to worksharing, in part, because layoffs economize on fringe benefit costs. We find that when labor markets are characterized by optimal implicit contracts, layoffs will never occur in equilibrium, regardless of the...

Modal logic S5 is commonly viewed as an epistemic logic that captures the most basic properties of knowledge. Kripke proved a completeness theorem for the first-order modal logic S5 with respect to a possible worlds semantics. A multiagent version of...

This paper presents new results on income distribution in Pakistan from an analysis of the full HIES data tapes for 1984-85, 1985-86, 1986-87, and 1987-88. An explicit social welfare methodology is adopted to measure changes in inequality at the national...

Although first proposed in the database theory as properties of functional dependencies between attributes, Armstrong's axioms capture general principles of information flow by describing properties of dependencies between sets of pieces of information. This article generalizes Armstrong's axioms to a...

Constant returns to scale, always a simplifying assumption, is often also much more: many important results depend critically on the very special properties of this class of production function. This paper provides a unified set of simple proofs for most...

Implicit contract models of labor market equilibrium under work sharing and layoffs are constructed to examine several common explanations for the observed market bias in favor of layoffs. We first establish the optimality of work sharing in the absence of...

The fact that a coalition has a strategy does not mean that the coalition knows what the strategy is. If the coalition knows the strategy, then such a strategy is called a know-how strategy of the coalition. The paper proposes...

The paper proposes a bimodal logic that describes an interplay between distributed knowledge modality and coalition know-how modality. Unlike other similar systems, the one proposed here assumes perfect recall by all agents. Perfect recall is captured in the system by...

The existence of a coalition strategy to achieve a goal does not necessarily mean that the coalition has enough information to know how to follow the strategy. Neither does it mean that the coalition knows that such a strategy exists...

This paper presents empirical evidence on the extent to which zakat - a form of religiously-mandated charity under Islam - achieves its intended objective in Pakistan. Detailed income and expenditure data from Pakistan's Household Income and Expenditure Survey for 1987-88...