Unequivocal majority and Maskin-monotonicity

The unequivocal majority of a social choice rule is a number of agents such that whenever at least this many agents agree on the top alternative, then this alternative (and only this) is chosen. The smaller the unequivocal majority is, the closer it is to the standard (and accepted) majority concept. The question is how small can the unequivocal majority be and still permit the Nash-implementability of the social choice rule; i.e., its Maskin-monotonicity. We show that the smallest unequivocal majority compatible with Maskin-monotonicity is n- ë \fracn-1m û{n-\left\lfloor \frac{n-1}{m} \right\rfloor} , where n ≥ 3 is the number of agents and m ≥ 3 is the number of alternatives. This value is equal to the minimal number required for a majority to ensure the non-existence of cycles in pairwise comparisons. Our result has a twofold implication: (1) there is no Condorcet consistent social choice rule satisfying Maskin-monotonicity and (2) a social choice rule satisfies k-Condorcet consistency and Maskin-monotonicity if and only if k 3 n- ë \fracn-1m û{k\geq n-\left\lfloor \frac{n-1}{m}\right\rfloor}.     

The Lorenz zonotope and multivariate majorizations

 The distribution of d commodities among n individuals is described by an n×d row stochastic matrix. We present a geometric approach to order such matrices. For a row stochastic matrix the Lorenz zonotope is investigated, which is a higher dimensional generalization of the Lorenz curve. The Lorenz zonotope is a convex polytope. The inclusion of Lorenz zonotopes defines an ordering between row stochastic matrices, which is a multivariate majorization. For a cone in nonnegative d-space, a cone extension of the Lorenz zonotope and the respective inclusion ordering are introduced. We study this class of orderings and establish equivalence with known majorizations. It is provided a finite set of inequalities to which the ordering is equivalent. Received: 16 February 1994/Accepted: 22 May 1996     

The Sociolinguistic Distribution of and Attitudes Toward Focuser like and Quotative like

This paper accomplishes three tasks: it considers the actual age and gender distribution of like in a corpus of informal U.S. English, compares the findings of that study with the perceived age and gender distribution as determined by a questionnaire study and a matched-guise study, and analyzes specific sociolinguistic stereotypes associated with this usage. It is found that younger people use both kinds of like more often than older people do, and that men and women use it approximately equally often. The perceived age and gender distribution is quite different, however; young women are perceived as using like most often. Additionally, informants guess the age of like guises as younger than they do the age of non-like guises in a matched-guise study, and also rate like guises more positively in terms of solidarity-based criteria, but less positively in terms of status-based criteria.     

Top-Pair and Top-Triple Monotonicity

We say that a social choice function (SCF) satisfies Top-k Monotonicity if the following holds. Suppose the outcome of the SCF at a preference profile is one of the top k-ranked alternatives for voter i. Let the set of these k alternatives be denoted by B. Suppose that i’s preference ordering changes in such a way that the set of first k-ranked alternatives remains the set B. Then the outcome at the new profile must belong to B. This definition of monotonicity arises naturally from considerations of set “improvements” and is weaker than the axioms of strong positive association and Maskin Monotonicity. Our main results are that if there are two voters then a SCF satisfies unanimity and Top-2 or Top-pair Monotonicity if and only if it is dictatorial. If there are more than two voters, then Top-pair Monotonicity must be replaced by Top-3 Monotonicity (or Top-triple Monotonicity) for the analogous result. Our results demonstrate that connection between dictatorship and “improvement” axioms is stronger than that suggested by the Muller–Satterthwaite result (Muller and Satterthwaite in J Econ Theory 14:412–418, 1977) and the Gibbard–Sattherthwaite theorem.     

The Borda count and agenda manipulation

A standard objection to the Borda count, as an actual voting procedure, is that it is subject to agenda manipulation. The classical example is the introduction, in order to favour a candidate or option y, of a new option z ranked on every voter's preference scale immediately below y; y may as a result obtain the highest Borda count, although, if z had not been introduced, a different option would have done so. Strategic use of this device is not greatly to be feared, but it does point to a defect in the system: equating the distance on each voter's preference scale between any option and the next imposes a penalty for dissimilarity. The corrective is to vary the distances by introducing a measure of dissimilarity, as perceived by the voters and revealed by their preference scales. Two possible ways of doing this are described, yielding revised and adjusted Borda scores. It is shown by examples that these will often, but not always, undo the `agenda manipulation' effect, and questioned whether it is desirable to undo it altogether. Received: 22 August 1996/Accepted: 31 October 1996     

Egalitarian-equivalence and the Pareto principle for social preferences

The Pareto principle is often in conflict with the equity criteria in construction of social preferences: there exist two allocations x and y such that x Pareto dominates y, but y is an equitable allocation whereas x is not. The efficiency-first principle requires to rank an allocation x higher than y if (i) x Pareto dominates y or (ii) x and y are Pareto-noncomparable and x is equitable whereas y is not. The equity-first principle reverses the order of application of the two criteria. Adopting egalitarian-equivalence as the notion of equity, we examine rationality of the social preference functions based on the efficiency-first or the equity-first principle. The degrees of rationality vary widely depending on which principle is adopted, and depending on the range of egalitarian-reference bundles. We show several impossibility and possibility results as well as a characterization of the social preference function introduced by Pazner and Schmeidler (1978). We also identify the sets of maximal elements of the social preference relations in the set of feasible allocations. The results are contrasted with those in the case where no-envy is the notion of equity.This paper is a much extended version of a part of Tadenuma (1998). The author is grateful to Marc Fleurbaey, Serge-Chiristophe Kolm, Kotaro Suzumura, and William Thomson for helpful comments on the earlier version of the paper. ‘‘Financial support from the Ministry of Education, Culture, Sports, Science and Technology of Japan for the 21st Century Center of Excellence Project on the Normative Evaluation and Social Choice of Contemporary Economic Systems is gratefully acknowledged’’.     

Sociologist Austin Turk and Policing: Structural Reinforcers and Reversals of the Positional Authority of Police

Austin Turk (1969) offers a distinctly sociological explanation of policing by theorizing that structural reinforcers (e.g., older police officer, younger citizen) and reversals (e.g., younger police officer, older citizen) of the situationally absolute positional authority of police officers affect the relationship between police officers and citizens. To this point, however, there have been only three direct tests of Turk’s theory ( Greenleaf and Lanza‐Kaduce, 1995 ; Lanza‐Kaduce and Greenleaf, 2000 ; Weidner and Terrill, 2005 ). All have examined overt conflict and the results are mixed. The present research therefore adds a fourth test of Turk’s (1969) theory to the sociological literature by examining the effects of structural reinforcers and reversals on citizens’ perceptions of the legitimacy and propriety of police actions during routine traffic stop encounters. Net of control measures, including the legal reason for the traffic stop, and extra‐legal measures, such as driver gender, the data provide modest to strong support for parts of Turk’s (1969) theory and absolutely no support for others. The conclusion of the present study is that more research is needed to determine whether Turk (1969) is correct in theorizing that there is a sociology, and not just a social psychology, to police‐citizen encounters.     

Threats and solutions: multiculturalism,religion and educational policy

The purpose of this article is to discuss how the interplay between multiculturalism, religion and education is described in Finnish national policy documents. The research question was as follows: How is the interplay between multiculturalism, religion and education portrayed in Finnish national policy? The data examined in this study included the national policy documents from 1998 to 2009. The qualitative analysis proposed five policy concerns with regards to multiculturalism, which were political radicalisation, ethnic relations, active citizenship, identity formation and human dignity. Religion seemed to be portrayed in a different manner in the different areas of concern. In the policy documents, religion is generally viewed both as a threat and as a solution in an increasingly multicultural society. In future, studies should be carried out concerning the intertwining of religion, power and nationality in school everyday practices.     

Before, during and after: realism, reflexivity and ethnography

In this paper we argue that what is missing from many ethnographic accounts is a recognition that dilemmas inevitably emerge for the researcher before they make contact with the research setting, during the process of ethnographic research, and subsequently in the lengthy time taken to unravel the theoretical importance of the research after the fieldwork has ended. Using a comparison of two ethnographies as case studies, and by recourse to a realist methodology, such dilemmas are, we argue, overdetermined by many non‐observable social structures that influence the everyday research process. We argue that specific mechanisms determine both the process and the outcome of the ethnographic journey in the before, during and after stages of research. For example we demonstrate how biography and the wider process of institutional knowledge production are two key resources that influence research practice. We use the term pragmatic realism as a means to reflect upon some of the connections between the dilemmas of research and real structures in these three stages.     

Capitalism,liberalism, and schooling

Conclusion Clearly, Schooling in Capitalist America is not without its limitations. It is charcterized by an ahistorical treatment of the functions of education, an economistic conception of social structure, an inadequate theory of reproduction and contradiction, and a seriously inaccurate account of educational politics. Yet despite its problems, Schooling is a very important and valuable work. Bowles and Gintis are particularly successful in developing an effective critique of the liberal political economy of education, and a conceptualization of a broad theory of the dynamics of educational change that confounds all previous accounts, whether liberal or revisionist. Schooling in Capitalist America is therefore a valuable, if flawed, starting point for a Marxist research program into the history and political economy of education. Its contributions to that research program are significant, and its difficulties instructive. While Schooling therefore is not all that one could wish for, it is a significant and provocative beginning. Moreover it is model of engaged and committed scholarship that provides some understanding of what is required for the collective control of the future.     

Manipulability, unanimity, anonymity and merging functions

A merging (or assessment aggregation) function (see [7]) is a rule that synthesizes several individual assessments, or numerical judgements, by creating a unique “collective” assessment. Individual i can manipulate assessment aggregation if the change in the merged assessment due to a change in i's assessment from x to y depends solely on x and y. Some assumptions on the functional form capturing this dependence are put forward and their effects on aggregation investigated under unanimity and anonymity conditions using a functional equation approach. Attention is restricted to three types of results: the merging function does not exist; it is the arithmetic mean; it is dictatorial. Received: 21 November 1997/Accepted: 31 May 1999     

Bildung and intercultural understanding

The concept of Bildung, sometimes translated as self-cultivation, is located at the core of an influential tradition of educational thought. A key question concerns the relationship between Bildung and interculturality. Drawing on Wilhelm von Humboldt and Hans-Georg Gadamer, and on the so-called transformative learning theory, Bildung can be interpreted as a process of transforming one’s meaning perspective in encounters with others. A meaning perspective is a set of largely implicit presuppositions underlying one’s habitual ways of thinking, feeling and acting. Confrontation with alternative perspectives can be an opportunity to become aware of one’s own perspective, to critically assess it and to transform it. Thus conceived, Bildung is closely related to interculturality.     

Alef and Shem: Original artwork

Abstract

Artist and scientist Sharon Gershoni presents here two works of her art in different mediums. Alef is a series of drawings made with Japanese sumi ink on washi paper and is a reflection on the first letter of the Hebrew alphabet, alef. Shem (Name) is a photograph exposing the symbols and attributes of women in Western art and thought.     

Comparison functions and choice correspondences

In this paper, we introduce the concept of a comparison function, which is a mapping g that assigns numbers to ordered pairs of alternatives (x,y) with the property that g(x,y)=−g(y,x). The paper discusses how some well-known choice correspondences on tournaments such as the uncovered set, the minimal covering set and the bipartisan set can be extended to this general framework. Axiomatic characterizations and properties are studied for these correspondences. Received: 4 November 1996/Accepted: 13 April 1998     

Vulnerable but Aloof Versus Naughty and Nice: Contrasting the Presentation of Male and Female Nude Models in Viva and Playboy

The current research examined contested meanings of nudity by comparing images of nude men and women that appeared in Viva, a 1970s women's magazine founded with the intention of foregrounding male nudity, to corresponding issues of Playboy. A major difference was obtained between male models and Playboy Playmates regarding direction of gaze and nudity. Although gaze aversion is often interpreted as a sign of submission and direct gaze is seen as a dominance cue, men in Viva displayed a high level of gaze aversion and women in Playboy often gazed directly at the camera, especially when their pubic area was exposed. Additional content analysis examined the personality characteristics attributed to male models in Viva and Playmates in Playboy in their biographical sketches. In Viva, men were presented as possessing “bad boy” traits that may have been intended to compensate for the loss of power associated with male nudity. Playmates could be viewed as being naughty (by virtue of posing nude) and nice in the characterization of their personalities.     

Symbolic interaction theory and the cognitively disabled: A neglected dimension

Symbolic interactionists have by and large not explored how individuals with mental illnesses—specifically, delusional misidentification syndromes—are able to exercise the cognitive factors necessary for successful interaction. Such factors include: recognition of self and others, situated interpretation, inferring others’ cognitive and emotional states, anticipating what others might say or do, empathizing, maintaining a cogent belief system, etc. What needs to be addressed is how the mentally ill manage—and fail to manage—these cognitively-informed activities as they slip more and more into cognitive and existential chaos, and the associated loss of meaningful dialogue with self and others. Clinical accounts of the cognitively dysfunctional could widen and deepen our understanding of cognition, belief states, self, and self-other relations, central concepts for symbolic interactionists. Accordingly, this paper is as much a critique of symbolic interactionism as a contribution to a humanistic social psychology.     

Between Literary and Subliterary Paradigms: Skaz and Contemporary Russian Estrada Comedy

The present article contends that literary skaz has significantly influenced the narrative framework of contemporary Russian estrada comedy. Skaz’s “theatricality,” “orality,” ambiguous authorship, spontaneity, and “folksiness” have the potential to add a rich, conversation-like complexity to the generally non-improvisational Russian comedy performance. Skaz’s allocutional projection of the audience into a comedian’s performance also creates an illusion of mutual communication between performer and public. While relying on Bakhtin’s treatment of skazas a double-voiced narrative, I argue that skaz allows the comedian to deliver sharp social commentary through a provincial or uneducated persona. Of particular interest for this study is the practical motivation for Russian comedians to resort to the mask of skaz narrators in the 1990s, an era of seemingly open public discourse. I argue that the continuing appropriation of a written, literary text (skaz) by an oral, popular performance (estrada comedy) suggests the versatility of the literary form, while simultaneously testifying to the on-going health of the written and spoken word in contemporary Russia.     

The historical roots of multicultural unity along the Upper Guinea Coast and in Guinea-Bissau

Lusofonia or lusophony is often defined as an identity shared by people in areas that were once colonised by Portugal, which in Africa include Angola, Cabo Verde, Guinea-Bissau, Mozambique and São Tomé and Príncipe. Lusofonia assumes that in these places people share something – a language, certainly, but also a history and culture rooted in the Iberian Peninsula. In some ways it is a re-articulation of Gilberto Freyre’s lusotropicalismo, the idea that Portuguese were more adaptable than other Europeans to tropical climates and cultures and created more multicultural colonial communities. Those who espouse lusofonia often have a political agenda – the strengthening of the Community of Portuguese-Speaking Countries. In this article, we argue that, like lusotropicalismo, lusofonia is a dream; it is not rooted in a historical reality. It is luso-centric in that it ignores the power and persistence of local cultures and gives undue weight to Portuguese influence. With regard to Africa, lusofonia’s agenda is elite driven and assumes the inevitability of modernity and globalisation. And we demonstrate that it was through Upper Guinean institutions and languages, and not colonial ones, that community and fellowship were most commonly fostered in the past, as they are fostered today. Those seeking the roots of lusofonia cannot, then, look to this period of Portuguese–African engagement in Upper Guinea. There Portuguese embraced “black ways.” They operated in a peculiar multicultural space in which people possessed fluid and flexible identities. Portugal did not create that space. Lusofonia has not been the foundation for cultural unity. Rather, unity has been found in localised institutions and in Crioulo. In Guinea-Bissau, lusofonia is not an indigenous movement. If it is anything, it is the stuff of elites and foreigners and is not rooted in any historical reality.