Modeling large electorates with Fourier series, with applications to Nash equilibria in proximity and directional models of spatial competition

 In this paper we introduce harmonic analysis (Fourier series) as a tool for characterizing the existence of Nash equilibria in two-dimensional spatial majority rule voting games with large electorates. We apply our methods both to traditional proximity models and to directional models. In the latter voters exhibit preferences over directions rather than over alternatives, per se. A directional equilibrium can be characterized as a Condorcet direction, in analogy to the Condorcet (majority) winner in the usual voting models, i.e., a direction which is preferred by a majority to (or at least is not beaten by) any other direction. We provide a parallel treatment of the total median condition for equilibrium under proximity voting and equilibrium conditions for directional voting that shows that the former result is in terms of a strict equality (a knife-edge result very unlikely to hold) while the latter is in terms of an inequality which is relatively easy to satisfy. For the Matthews [3] directional model and a variant of the Rabinowitz and Macdonald [7] directional model, we present a sufficiency condition for the existence of a Condorcet directional vector in terms of the odd-numbered components of the Fourier series representing the density distribution of the voter points. We interpret our theoretical results by looking at real-world voter distributions and direction fields among voter points derived from U.S. and Norwegian survey data. Received: 7 July 1995 / Accepted: 14 May 1996     

Production mondialisée et progrès social: le cas du textile et de l'habillement

La fragmentation de la production au sein de réseaux mondiaux n'obéit pas seulement à l'avantage comparatif, mais aussi aux décisions de localisation des entreprises dominantes en fonction de la capacité de négociation des producteurs locaux et du rôle qu'elles leur assignent dans la chaîne de production. Les auteurs examinent les conséquences de cette spécialisation dans le textile et l'habillement, pour vingt‐six pays où l'offre de main‐d'?uvre est abondante, sur la période 1990–2007. L'étude économétrique montre que le secteur ne tire pas toujours bénéfice de l'intégration commerciale: on observe plutôt une association négative entre spécialisation verticale et salaires réels.     

The uncovered set in spatial voting games

In a majority rule voting game, the uncovered set is the set of alternatives each of which can defeat every other alternative in the space either directly or indirectly at one remove. Research has suggested that outcomes under most reasonable agenda processes (both sincere and sophisticated) will be confined to the uncovered set. Most research on the uncovered set has been done in the context of voting games with a finite number of alternatives and relatively little is known about the properties of the uncovered set in spatial voting games.We examine the geometry of the uncovered set in spatial voting games and the geometry of two important subsets of the uncovered set, the Banks set and the Schattschneider set. In particular, we find both general upper and lower limits on the size of the uncovered set, and we give the exact bounds of the uncovered set for situations with three voters. For situations with three voters, we show that the Banks set is identical to the uncovered set.     

Giving voice to experiences: parental maltreatment of black children in the context of societal racism

ABSTRACT This paper seeks to explore the ways in which black children who have been maltreated within their families come to voice to tell their stories. A discussion of black children's recovery from maltreatment necessitates understanding how they interpret and name their experiences as abusive. Research indicates that while many factors mediate the effects of abuse on children's development, telling your story about childhood trauma is critical in the healing process for promoting psychological well‐being. However, what does the naming and speaking of trauma entail for black children when the broader context of their lived realities is embedded in racism that confers on them a stigmatized status? Where black children's lived experiences encompass the complexity of societal racism as a mutually reinforcing and contradictory reality in their lives, their capacity to name the maltreatment they experience will be particularly problematic. Essentially, parents’ issues silence children and can encourage them to block out painful emotions, ultimately putting their emotional and psychological well‐being at risk. Taking race and gender as benchmarks for analysis, the complexities involved in giving voice to childhood maltreatment are discussed to consider how these dynamics contribute to black children's resilience and adaptive behaviours in the aftermath of abuse.     

Disaster and Development Paradigms: Too Close for Comfort?

The familiar distinctions between the disaster and development paradigms have become increasingly blurred. Yet, conceptual and policy dilemmas continue to pose challenges for the integration of the two paradigms into a single framework. Drawing on the literature and Ethiopia's Institutional Support Project, this article argues that the increased convergence of the two constructs may be too close for comfort, thus rendering the assertion that disaster‐risk reduction can help achieve sustainable development and vice versa mere rhetoric. Unless there is a shift from focusing on the hazard event to also recognising that disasters are not politically neutral, there is a danger of being locked into the hazard paradigm, despite the different labels, titles or metaphors that may be assigned to it.     

THE ETHICS AND POLITICS OF MUTUAL OBLIGATION

Welfare schemes which require recipients of benefits to ‘give something back’ are often justified in terms of ‘fairness’ or fulfilling the ‘social contract’. The Australian Government's recent and proposed changes to unemployment benefits through the Mutual Obligation Scheme appeal to both justifications. However, insufficient attention has been paid the underlying ethical and political assumptions — a serious deficiency. given their role in legitimating harsh new penalties. There are two broad reasons the current trend to tie benefits to obligations is inappropriate. First, the unemployed have little choice about their contract. And second, there is insufficient mutuality shown towards the unemployed for the Scheme to be obligation‐generating. Rather than being a means of encouraging participation or mutuality, the Scheme is essentially punitive.     

Kurt Lewin's Field Theory: A Review and Re‐evaluation

Field theory was central to Kurt Lewin's work yet, after his death, interest in it declined significantly until the 1990s when a variant, force field analysis, became widely used. This paper examines the origins, purpose and continuing relevance of field theory. It especially looks at the influences of gestalt psychology, topology and Ernst Cassirer's philosophy of science on its development. It argues that Lewin's attempt to replace conventional topology with his own Lewinian mathematics‐based topology in pursuit of scientific rigour resulted in the undermining of its relevance. The paper also compares force field analysis with Lewin's original conception of field theory and shows that it has significant weaknesses in terms of rigour. It concludes that a return to Lewin's original conception of field theory, based on gestalt psychology and conventional topology, can provide academics and practitioners with a valuable and much‐needed approach to managing change.     

Teaching Causation in History

Social studies teachers have an obligation to help students grapple with and thoughtfully examine controversial issues, often in a contemporary context. One such issue is the U.S. use of unmanned aerial vehicles, generally known as drones. Whether for surveillance purposes or military missions, the use of drones by the U.S. government has preceded the development of clearly articulated policy guidelines. This article examines the use of drones in U.S. policy, the argument for and against their deployment, and the manner in which social studies educators may effectively teach their students about such a complex, challenging topic. Toward that end, the article also advocates for the use of an ethical and analytical framework, the “just war” doctrine, which can assist students in critiquing how drones are used, under what conditions, and the social impact that may entail.