Ridge estimation of restricted parameters in production techniques

The problem of determining ridge estimates of the regression parameters in a two-input production function model,constrained to be non-negative,has been formulated as an exercise in quadratic programming. Relevant Kuhn-Tucker conditions have been derived and a small simulation studv has been carried out.     

Civic-secular and ethnic nationalisms as bases of the nation-state: multiculturalism at the crossroads? 1

The dominant Eurocentric paradigm of the nation and the nation-state was premised on western historical experience that was indigenous to the west but claimed universality for the rest. Many post-colonial countries, particularly those that went through national liberation struggles, like India and China, with multi-ethnic mobilisations, established sovereign states. The nationalist leaders claimed the unity of nationhood for their culturally diverse countries (states), with their millennia-deep civilisational identity, compelling a new discourse on the untenability of the classic Eurocentric paradigm. The second development witnessed the inevitable cultural heterogenisation of the western countries premised on the expansion of the (immigrant) labour market through an ever-enveloping regime of economic liberalisation and world trade. The catharsis of the invasion of cheaper labour from culturally diverse countries, often native-displacing, resulted in western countries attempting to accommodate the emerging changing reality in the context of mono-cultural nations through the concept and policy of multiculturalism. In spite of this, western countries have been witness to intercultural violence, racial discrimination and threats of home grown terrorism. The paper seeks to distinguish between ‘pluralism’ and ‘multiculturalism’ and argues for a reformulation of the concept of the nation-state that will have greater applicability across states.     

ON THE ROBUSTNESS OF MAJORITY RULE

We show that simple majority rule satisfies five standard and attractive axioms—the Pareto property, anonymity, neutrality, independence of irrelevant alternatives, and (generic) decisiveness—over a larger class of preference domains than (essentially) any other voting rule. Hence, in this sense, it is the most robust voting rule. This characterization of majority rule provides an alternative to that of May (1952). (JEL: D71)     

Charting the Course: An Overview of Domestic Violence in the South Asian Community in the United States

In the South Asian community in the United States, domestic violence is a prevalent problem of significant magnitude. Although the community stridently denies the existence of this horror, women have been systematically organizing antiviolenceagainst- women work for the last 15 yearsAt this time, it is a vibrant movement struggling with several complex issues that are perhaps less common in thedominant white community. As in the lives of immigrant women of color, much of the intricacies of domestic violencein the South Asian context emerge from the intersections of race, class, andsresidencystatus problems. Consequently, a slew of personal, institutional, and cultural barriers commingle to form roadblocks for battered South Asian women, who attempt to escape family violence. As the needs of battered South Asian first and second generation women enlarge and become more perceptible, the community-based organizations have to ready themselves for more complicated activities in the future.     

Attitude Toward Menopause and Aging: A Study on Postmenopausal Women of West Bengal

We examined the attitude of postmenopausal women toward menopause and aging with respect to sociodemographic variables and postmenopausal years. Four hundred and eighty postmenopausal women representing Bengali-speaking Hindu ethnic group of West Bengal, India were interviewed about their attitude toward menopause and aging. Information on sociodemographic and reproductive characteristics and menopausal symptoms were also collected. The participants were categorized into four groups based on postmenopausal years (Group 1: ≤2; Group 2: >2 to ≤5; Group 3: >5 to ≤8; and Group 4: >8). The attitude did not differ significantly among different groups, but it differed significantly when compared for residential status and per capita monthly household expenditure (pooled groups), for residential and educational status (Groups 3 and 4), and per capita monthly household expenditure (Group 3). Hierarchical linear regression (stepwise) shows per capita monthly expenditure, age at menopause, years after menopause, and menopausal symptoms (irritability and inability to hold urine) significantly predict attitude.     

Contraction consistent stochastic choice correspondence

We model a general choice environment via probabilistic choice correspondences, with (possibly) incomplete domain and infinite universal set of alternatives. We offer a consistency restriction regarding choice when the feasible set contracts. This condition, ‘contraction consistency’, subsumes earlier notions such as Chernoff’s Condition, Sen’s α and β, and regularity. We identify a restriction on the domain of the stochastic choice correspondence (SCC), under which contraction consistency is equivalent to the weak axiom of revealed preference in its most general form. When the universal set of alternatives is finite, this restriction is also necessary for such equivalence. Analogous domain restrictions are also identified for the special case where choice is deterministic but possibly multi-valued. Results due to Sen (Rev Econ Stud 38:307–317, 1971) and Dasgupta and Pattanaik (Econ Theory 31:35–50, 2007) fall out as corollaries. Thus, conditions are established, under which our notion of consistency, articulated only in reference to contractions of the feasible set, suffices as the axiomatic foundation for a general revealed preference theory of choice behaviour.     

On the coase theorem and coalitional stability: the principle of equal relative concession

The Coase theorem is argued to be incompatible with bargaining set stability due to a tension between the grand coalition and sub-coalitions. We provide a counter-intuitive argument to demonstrate that the Coase theorem may be in complete consonance with bargaining set stability. We establish that an uncertainty concerning the formation of sub-coalitions will explain such compatibility: each agent fears that others may `gang up' against him and this fear forces the agents to negotiate. The grand coalition emerges from the negotiations if each agent uses the principle of equal relative sacrifice to determine the actual allocation. We also establish the rational basis for the choice of the principle of equal relative concession by the negotiating agents. Hence we argue that the Coase theorem will be valid even if there are stable sub-coalitions.     

Correlation in a Bayesian framework

The authors consider the correlation between two arbitrary functions of the data and a parameter when the parameter is regarded as a random variable with given prior distribution. They show how to compute such a correlation and use closed form expressions to assess the dependence between parameters and various classical or robust estimators thereof, as well as between p‐values and posterior probabilities of the null hypothesis in the one‐sided testing problem. Other applications involve the Dirichlet process and stationary Gaussian processes. Using this approach, the authors also derive a general nonparametric upper bound on Bayes risks.