A characterization of the maximin rule in the context of voting

In a voting context, when the preferences of voters are described by linear orderings over a finite set of alternatives, the Maximin rule orders the alternatives according to their minimal rank in the voters’ preferences. It is equivalent to the Fallback bargaining process described by Brams and Kilgour (Group Decision and Negotiation 10:287–316, 2001). This article proposes a characterization of the Maximin rule as a social welfare function (SWF) based upon five conditions: Neutrality, Duplication, Unanimity, Top Invariance, and Weak Separability. In a similar way, we obtain a characterization for the Maximax SWF by using Bottom Invariance instead of Top Invariance. Then, these results are compared to the axiomatic characterizations of two famous scoring rules, the Plurality rule and the Antiplurality rule.     

Harsanyi's Social Aggregation Theorem and Dictatorship

In this paper I investigate the possibility of a dictatorship in the context of Harsanyi's Social Aggregation Theorem. Preliminarily, some propositions about Harsanyi's Theorem are presented using an alternative principle that I name Quasi-strong Pareto, which is the latter part of Strong Pareto. Then I define dictatorship as a requirement that social preference agrees with a dictator's preference or those of members of dictatorial group even if their preferences strictly contradict those of all other people in the society. Conclusively, although in each version of Harsanyi's Theorem with Pareto Indifference, Weak Preference Pareto or Weak Pareto the social utility function may have a form of dictatorship, however if individuals' vNM utility functions are all 'individualistic' and Quasi-strong Pareto is satisfied, then the dictatorship is excluded.     

Randomized dictatorship and the Kalai–Smorodinsky bargaining solution

“Randomized dictatorship,” one of the simplest ways to solve bargaining situations, works as follows: a fair coin toss determines the “dictator”—the player to be given his first-best payoff. The two major bargaining solutions, that of Nash (Econometrica 18:155–162, 1950) and that of Kalai and Smorodinsky (Econometrica, 43:513–518, 1975), Pareto-dominate this process (in the ex ante sense). However, whereas the existing literature offers axiomatizations of the Nash solution in which this ex ante domination plays a central role (Moulin, Le choix social utilitariste, Ecole Polytechnique Discussion Paper, 1983 ; de Clippel, Social Choice and Welfare, 29:201–210, 2007), it does not provide an analogous result for Kalai–Smorodinsky. This paper fills in this gap: a characterization of the latter is obtained by combining the aforementioned domination with three additional axioms: Pareto optimality, individual monotonicity, and a weakened version of the Perles–Maschler (International Journal of Game Theory, 10:163–193, 1981) super additivity axiom.     

Intradimensional Single-Peakedness and the Multidimensional Arrow Problem

Arrow's account (1951/1963) of the problem of social choice is based upon the assumption that the preferences of each individual in the relevant group are expressible by a single ordering. This paper lifts that assumption and develops a multidimensional generalization of Arrow's framework. I show that, like Arrow's original framework, the multidimensional generalization is affected by an impossibility theorem, highlighting not only the threat of dictatorship of a single individual, but also the threat of dominance of a single dimension. In particular, even if preferences are single-peaked across individuals within each dimension – a situation called intradimensional single-peakedness – any aggregation procedure satisfying Arrow-type conditions will make one dimension dominant. I introduce lexicographic hierarchies of dimensions as a class of possible aggregation procedures under intradimensional single-peakedness. The interpretation of the results is discussed.     

Bargaining Solutions as Social Compromises

A bargaining solution is a social compromise if it is metrically rationalizable, i.e., if it has an optimum (depending on the situation, smallest or largest) distance from some reference point. We explore the workability and the limits of metric rationalization in bargaining theory where compromising is a core issue. We demonstrate that many well-known bargaining solutions are social compromises with respect to reasonable metrics. In the metric approach, bargaining solutions can be grounded in axioms on how society measures differences between utility allocations. Using this approach, we provide an axiomatic characterization for the class of social compromises that are based on p-norms and for the attending bargaining solutions. We further show that bargaining solutions which satisfy Pareto Optimality and Individual Rationality can always be metrically rationalized.     

Relationship Between the State and NGOs/NPOs: Checks and Balances

This article analyzes the underlying dynamics that shaped the response of the Philippine professional association of social workers to martial law and the human-rights abuses that accompanied it. It advances the notion of social work as a class to account for the seemingly inexplicable position taken by the professional association in relation to the Marcos dictatorship.     

Defining the boundaries: social worker assessment of sexual abuse in a cultural context – multivariate analysis of personal and professional factors influencing social workers' labelling of intimacy behaviour

To explore personal and professional factors influencing social worker assessment of family intimacy behaviour in diverse cultural groups, a 27‐item questionnaire was mailed to a random, stratified sample of MSW‐level social workers. The instrument measured rank‐order responses to 10 questions about attitudes towards public exposure to sexual stimuli and rank‐order responses to questions about three vignettes depicting culturally informed family intimacy behaviour. The instrument also measured sample characteristics such as area of social work practice and per cent of caseload involving sexually abused as well as diverse clients. Completed questionnaires (n = 387) were analysed for association between respondents' definition of intimacy behaviour (dependent variable), attitude towards sexual stimuli, and intervening variables thought to explain variance in the dependent measure. Labelling theory provided a basis for hypotheses testing. When mean attitude scores were correlated with mean definition scores, Pearson's r returned a significant low, positive association between conservative attitudes towards exposure to sexual stimuli and definitions of cross‐cultural scenarios as sexual abuse. Holding attitude scores constant, regression modelling of the sample's definition of scenarios indicated that practice area, minority status, and per cent of caseload with sexual abuse clients were significant predictors of R² change in the dependent variable. Further analysis of data through regression tree modelling showed that a small group of conservative practitioners with ethnically diverse caseloads were more likely to label culturally influenced behaviours as deviant. Among conservative practitioners with less diverse caseloads, number of hours in sexuality training had a moderating influence on deviancy labelling. Tree modelling of the data also indicated that an ethnic minority subgroup within the sample accounted for the lowest ranking of scenarios as sexual abuse. Results support earlier work on social worker assessment of child maltreatment as a function of agency setting. Another implication for social work is the need for practitioners to understand their attitudes towards human sexuality in relation to assessment of diverse patterns of childhood sexual socialization.     

Resolute majority rules

We investigate resolute voting rules that always rank two alternatives strictly and avoid social indecision. Resolute majority rules differ from the standard majority rule in that whenever both alternatives win the same number of votes, a tie-breaking function is used to determine the outcome. We provide axiomatic characterizations of resolute majority rules or resolute majority rules with a quorum. Resoluteness axiom is used in all these results. The other axioms are weaker than those considered in the characterization of the majority rule by May (1952 Econometrica, 20:680–684). In particular, instead of May’s positive responsiveness, we consider a much weaker monotonicity axiom.     

"Never right, never wrong": child welfare and social work in England and Sweden

When are parents “unfit” to care for their own children? As in many other countries, social workers in England and Sweden have the unenviable task of forming such judgments. On behalf of society at large, social workers must balance the rights of parents to provide continuing care with the responsibilities of the state in ensuring adequate care of children. They are involved in professional judgments which are also inherently political. In both England and Sweden social workers are able to seek legal orders which, if granted, permit compulsory removal of children against the wishes of parents. In such cases social workers are centrally involved in processes which remove ordinary rights of citizenship from their fellow members of society. The rights of parents and children, together with the responsibilities of the state to each class of citizen, are clearly in focus: intervention in family life requires both grounds and legitimation. But what is the basis of intervention in the two societies? Social work practices in Sweden and England suggest very different answers to this question. In explaining these differences it is necessary to address much broader variations of social and political culture in the two societies. In so doing, variations in social work practice can be located in different cultural values and systems of legitimation. Instabilities and pathologies of professional practices can also be identified within both England and Sweden. These too are quite different in the two societies.     

Why ethical measures of inequality need interpersonal comparisons

An ethical measure of income inequality corresponds to a social ordering of income distributions. Without interpersonal comparisons, the only possible social orderings are dictatorial, so there can be no ethical inequality measure. Interpersonal comparisons allow a very much richer set of possible social orderings, and the construction of ethical measures of inequality.I have benefited especially from reading the published and unpublished work of Parks, of Sen, and of d'Aspremont and Gevers, and I claim little originality for the ideas expressed here.     

Modifying the Modifier: Body Modification as Social Incarnation

The notion that body modification occurs when one undertakes practices like tattooing, piercing or scarification, engenders discourses in which: (i) body modifiers endorse such practices as self‐constructive, distancing their practitioners from social regulation and a deterministic biology, whereas; (ii) critics condemn their seemingly violent, corporeal interference. However, in suspecting that such analysis should be attentive to the concurrent individual and social co‐constitution of behaviours, a sociological and post‐structural interrogation of this characterization of body modification as a “sovereign, denaturalizing” endeavour is demanded. An engagement with the originary violence of Derridian deconstruction will duly re‐conceive body modification practice as not something which introduces violence to corporeality. Rather, violence will present as a primordial differentiating process which bodies always already condition, and by which they are conditioned/produced/modified. The second issue at stake in this article will thus develop as a contestation to the characterization of “body modification” as an exclusive category of practice. Such practices do not arrive, pre‐existing, but rather manifest as the originary violence/differentiation of bodies‐as‐modifications‐which‐modify. This re‐defines modification from something that agentive subjects introduce to bodies, to something that subjects‐as‐bodies cannot help but be. Consequently, individual agency is not divorced from behaviour, but emerges as a corporeal, social production.     

The social economy of excluded families

Families with material, social and cultural resources can be seen as triply advantaged, while those without are thrice disadvantaged. The authors contend that families' connectedness or exclusion from their communities, and the processes that marginalize or substantially exclude families from the benefits of the wider society, are among the most important dimensions for practice in the family services field. Using selected theory relating to individuals and families in society, this paper proposes a conceptual framework for understanding all families in their social economy, with special attention to families who experience material, social and cultural poverty. These families are vulnerable to becoming excluded families, not only propelled into a survival mode of living that evokes distinct skills and strengths in family members, but also has profound deleterious effects on both children and their parents. When child and family services encounter these excluded families, they need to respond with complex linked strategies at individual, family, network and policy levels.     

Family and community support among older Chilean adults: the importance of heterogeneous social support sources for quality of life

Family and community social networks act as social resources that promote well-being at advanced ages. In this study, we analyze the association between social support received from personal social networks (social support from various family members and friends) and community social networks (social support from neighbors and the neighborhood, age, ethnic, or religious group peers and formal social support networks) and quality of life (QoL) for a sample of older Chilean persons (n = 777). The results confirm that social support from family (partner, children, and extended family) and friends, integration in the community (neighbors) and social support from informal systems (social groups) are associated with QoL. Moreover, the model including both types of support explains 25.8% of variance in QoL. The results and their possible implications are discussed.     

Parental military service and adolescent well‐being: mental health,social connections and coping among youth in the USA

The association between parental military work factors and adolescent's well‐being was examined. Data were collected from 1036 military youth. Using a within‐group design, we examined adolescent's well‐being related to parental absence, school and neighbourhood transitions, paygrade/rank and participation in military‐sponsored activities, and differentiated outcomes by sex and age. Two parental work factors primarily influenced adolescent's well‐being, parental paygrade/rank and engagement in military‐sponsored activities. Parental paygrade/rank was the only factor uniformly related to poorer well‐being, and this variable likely represents a more complex set of family circumstances. Engaging in military‐sponsored activities served as a resource and was related to enhanced well‐being. Individual‐level differences and implications for social workers are discussed.     

Implementation without rationality assumptions

Hurwicz (Social Choice and public decision making. Essays in honor of Kenneth J. Arrow, Cambridge University Press, Cambridge, 1986) was the first to study an approach to implementation theory based on choice functions instead of preference relations. We argue that the solution concept used by him, the generalized Nash equilibrium, is not really compatible with the idea that individual behavior is describable by a choice function. A new solution concept that better fits the choice function framework is then introduced. Using this, we investigate what behavioral assumptions are needed for the full characterizations of Nash implementable social choice correspondences to still hold. We will show that a condition known as Property α is central.     

Ranking sets additively in decisional contexts: an axiomatic characterization

Ranking finite subsets of a given set X of elements is the formal object of analysis in this article. This problem has found a wide range of economic interpretations in the literature. The focus of the article is on the family of rankings that are additively representable. Existing characterizations are too complex and hard to grasp in decisional contexts. Furthermore, Fishburn (1996), Journal of Mathematical Psychology 40, 64–77 showed that the number of sufficient and necessary conditions that are needed to characterize such a family has no upper bound as the cardinality of X increases. In turn, this article proposes a way to overcome these difficulties and allows for the characterization of a meaningful (sub)family of additively representable rankings of sets by means of a few simple axioms. Pattanaik and Xu’s (1990), Recherches Economiques de Louvain 56, 383–390) characterization of the cardinality-based rule will be derived from our main result, and other new rules that stem from our general proposal are discussed and characterized in even simpler terms. In particular, we analyze restricted-cardinality based rules, where the set of “focal” elements is not given ex-ante; but brought out by the axioms.      

A Culturally Competent Family Enhancement and Empowerment Model for African American Parents

The National Association of Social Worker's Standards for Cultural Competence (2002 National Association of Social Workers. 2002. NASW standards for cultural competence in social work practice, Washington, DC: Author.  [Google Scholar]) mandates social work practices that recognize the cultural preferences of different groups in the United States. The NASW Code of Ethic (1996 National Association of Social Workers. 1996. Code of ethics, Washington, DC: NASW Press.  [Google Scholar]) states that social workers have a responsibility to understand culture and its function and to further recognize the strengths that exist in all cultures. This article addresses the void in the social work literature on culturally based and strengths‐oriented family interventions for African American parents. The article describes a culturally competent intervention model developed by the MAAT Center for Human and Organizational Enhancement, Inc. in Washington, D.C. for parents of African American male youths who live in high‐risk environments. The family enhancement and empowerment model (FEEM) is based on Africentric social work principles that are grounded in a strengths perspective. The article describes the FEEM program, including a discussion of practical strategies for building trust and offering support to African American parents and families.     

Preference extension rules for ranking sets of alternatives with a fixed cardinality

This paper analyzes the problem of deriving a ranking of fixed-cardinality subsets of a universal set from a given ranking of the elements of this universal set. Only subsets with a given number of elements are being ranked, which is where the approach in this paper differs from the literature on extension rules that establish preference relations on the power set of the universal set. Common examples for areas where such preferences on subsets with a fixed cardinality are needed are elections of committees of a given size, many-to-one matchings, and decision problems under ignorance. The main result of the paper is a characterization of a class oflexicographic rank-ordered rules by means of two axioms, namely, aresponsiveness condition used in the matching literature and a well-knownneutrality requirement which ensures that the names of the alternatives are irrelevant for the ranking of the sets.     

Perceived pension injustice: A multidimensional model for two most‐different cases

This article analyses a nationally representative sample of 3,000 respondents from the 2006 wave of the International Social Justice Project to investigate the determinants of citizens' perceptions of the injustice of their country's prevalent pension system. We studied two ‘most‐different’ cases: Israel, a relatively new democracy and demographically young society, and Western Germany, an established democracy and demographically older society. We found that age is negatively associated, and social status positively associated, with reported levels of PPI. Moreover, PPI is higher both when citizens lack intra‐familial social solidarity and when they more strongly endorse pro‐state welfare attitudes. At the same time, there are distinct culture‐specific patterns in PPI, such as the stronger effect of subjective class position and pro‐social family norms in Israel. We explain these by reference to the institutional characteristics of the Israeli pension system and the particularly dominant normative position of the family in Israeli‐Jewish culture.