Abstract. This paper explores the axiomatic foundation of multidimensional poverty indices. Departing from the income approach which measures poverty by aggregating shortfalls of incomes from a pre-determined poverty-line income, a multidimensional index is a numerical representation of shortfalls of basic needs from some pre-speci®ed minimum levels. The class of subgroup consistent poverty indices introduced by Foster and Shorrocks (1991) is generalized to the multidimensional context. New concepts necessary for the design of distribution-sensitive multidimensional poverty measures are introduced. Speci®c classes of subgroup consistent multidimensional poverty measures are derived based on sets of reasonable axioms. This paper also highlights the fact that domain restrictions may have a critical role in the design of multidimensional indices.

Abstract. This paper generalizes the axiomatic approach to the design of income inequality measures to the multiattribute context. While the extension of most axioms considered desirable for inequality indices is straightforward, it is not entirely clear when a situation is more unequal than another when each person is characterised by a vector of attributes of wellbeing. We explore two majorization criteria which are partial orders ranking distributions of attributes by their degree of inequality. The two criteria are motivated by the Pigou-Dalton Transfer Principle in the unidimensional context and its equivalent formulation. These criteria gauge inequality loosely speaking with respect to the dispersion of the multidimensional distribution of the attributes. They, however, fail to address a dierent dimension of multivariate inequality pertaining to an increase in the correlation of the attributes. In this connection, this paper introduces a correlation-increasing majorization criterion proposed by Boland and Proschan (1988). Finally, in conjunction with other axioms commonly invoked in the literature on inequality, the majorization criteria lead inexorably to the class of multidimensional generalized entropy measures.

No abstract

This paper explores equivalent formulations of the polarization ordering first proposed by Foster and Wolfson. Motivated by the class of polarization indices proposed by Foster and Wolfson, we have developed a class of generalized Foster-Wolfson indices. In addition, a new class of polarization indices satisfying a set of desirable axioms is also derived. .hk!. We thank two anonymous referees for very helpful suggestions and comments.

A recent body of literature with the paradigm of market preserving federalism at its core contends that China is a de facto federalist state. With the autonomy and tax rights of local governments entrenched in the reform era, local governments have allegedly become decentralized engines of growth. Scrutinizing the underlying premises of the above paradigm, this article arrives at a picture of China's local governments as less autonomous and the system of vertical bureaucratic control as more potent than that painted by the above paradigm. Emerging from our findings is an alternative interpretation of China's central–local fiscal relations that may help us understand such recent phenomena as the proliferation of arbitrary charges.