Invariance axioms for preferences: applications to social choice theory

I investigate the role played by the combination of two invariance axioms for preferences in utility theory; namely, those of zero-independence and scale-independence, respectively. I provide a characterization of the preference relations on ${\mathbb{R}^{n}}$ that satisfy these two axioms as those which are either trivial, or what I call a two-serial total preorder on ${\mathbb{R}^{n}}$ . This result is then applied in social choice theory to characterize those social welfare functions that satisfy IIA and PI. Other characterizations involving the usual Pareto concepts are also provided.     

How the size of a coalition affects its chances to influence an election

Since voting rules are prototypes for many aggregation procedures, they also illuminate problems faced by economics and decision sciences. In this paper we are trying to answer the question: How large should a coalition be to have a chance to influence an election? We answer this question for all scoring rules and multistage elimination rules, under the Impartial Anonymous Culture assumption. We show that, when the number of participating agents n tends to infinity, the ratio of voting situations that can be influenced by a coalition of k voters to all voting situations is no greater than $D_{m} \frac{k}{n}Since voting rules are prototypes for many aggregation procedures, they also illuminate problems faced by economics and decision sciences. In this paper we are trying to answer the question: How large should a coalition be to have a chance to influence an election? We answer this question for all scoring rules and multistage elimination rules, under the Impartial Anonymous Culture assumption. We show that, when the number of participating agents n tends to infinity, the ratio of voting situations that can be influenced by a coalition of k voters to all voting situations is no greater than , where D _m is a constant which depends only on the number m of alternatives but not on k and n. Recent results on individual manipulability in three alternative elections show that this estimate is exact for k=1 and m=3.

Arkadii SlinkoEmail:

     

Distorted Lorenz curves: models and comparisons

The economic literature contains many parametric models for the Lorenz curve. A number of these models can be obtained by distorting an original Lorenz curve $L$ by a function $h$ , giving rise to a distorted Lorenz curve ${\widetilde{L}}=h\circ L$ . In this paper, we study, in a unified framework, this family of curves. First, we explore the role of these curves in the context of the axiomatic structure of Aaberge (2001) for orderings on the set of Lorenz curves. Then, we describe some particular models and investigate how changes in the parameters in the baseline Lorenz curve $L$ affect the transformed curve ${\widetilde{L}}$ . Our results are stated in terms of preservation of some stochastic orders between two Lorenz curves when both are distorted by a common function.     

Path independent choice and the ranking of opportunity sets

The indirect utility principle provides an instrumentalist basis for ranking opportunity sets, given an underlying preference ranking on alternatives. Opportunity set A is weakly preferred to B if A includes at least one preference-maximising element from $A\cup B$ . We introduce the Plott consistency principle as a natural extension of this logic to decision-makers who choose amongst alternatives according to a path independent choice function. Such choice functions need not be rationalisable by a preference order. Plott consistency requires that A is an acceptable choice from $\left\{ A, B\right\} $ if A includes at least one element from the set of acceptable choices from $A\cup B$ . We explore necessary and sufficient conditions (imposed on a choice function defined on collections of opportunity sets) for Plott consistency.     

Characterizing Paretian preferences

A characterization of a property of binary relations is of type M if it can be stated in terms of ordered M-tuples of alternatives. A characterization of finite type provides an easy test of whether preferences over a large set of alternatives possesses the property characterized. Unfortunately, there is no characterization of finite type for Pareto representability in . A partial result along the same lines is obtained for Pareto representability in , k>2.

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Choice in ordered-tree-based decision problems

Decision makers often have to choose alternatives which appear in an exogenous structure. For example, consider choosing a dish in a restaurant after going through different menu cards (a menu card for buffet, another for combo offers etc.). The decision maker observes the items displayed (as a list) on a menu card and she switches to another menu card to see the items displayed on it (again in the form of another list). Thus the set of all items appears as an “ordered-tree” to the decision maker. There are other examples of decision making where alternatives appear in the form of an ordered-tree. In this paper we consider the cases of choice from ordered-trees (in particular, “lists of lists”) and characterize the choice functions. We impose the axioms of Backward Consistency and Replacement Indifference on choice functions and obtain characterization results for \(k\) -ary ordered-trees and more general ordered-trees. We show that the results for \(k=2\) are similar to those of (Rubinstein and Salant 2006), in which the cases of choice from lists are considered. However the results for \(k \ge 3\) and general ordered-trees are different and allow for instance, a richer class of tie-breaking rules in special cases.     

A measure of distance between judgment sets

In the literature on judgment aggregation, an important open question is how to measure the distance between any two judgment sets. This is relevant for issues of social choice: if two individuals hold different beliefs then we might want to find a compromise that lies somewhere between them. We propose a set of axioms that determine a measure of distance uniquely. This measure differs from the widely used Hamming metric. The difference between Hamming’s metric and ours boils down to one axiom. Given judgment sets A and B, this axiom says that if the propositions in ${A \cap B}$ jointly imply that the propositions in A?B share the same truth value, then the disagreement between A and B over those propositions in A?B should be counted as a single disagreement. We consider the application of our metric to judgment aggregation, and also use the metric to measure the distance between preference rankings.     

Propositionwise judgment aggregation: the general case

In the theory of judgment aggregation, it is known for which agendas of propositions it is possible to aggregate individual judgments into collective ones in accordance with the Arrow-inspired requirements of universal domain, collective rationality, unanimity preservation, non-dictatorship and propositionwise independence. But it is only partially known (e.g., only in the monotonic case) for which agendas it is possible to respect additional requirements, notably non-oligarchy, anonymity, no individual veto power, or extended unanimity preservation. We fully characterize the agendas for which there are such possibilities, thereby answering the most salient open questions about propositionwise judgment aggregation. Our results build on earlier results by Nehring and Puppe (Strategy-proof social choice on single-peaked domains: possibility, impossibility and the space between, 2002), Nehring (Oligarchies in judgment aggregation: a characterization, 2006), Dietrich and List (Soc Choice Welf 29(1):19–33, 2007a) and Dokow and Holzman (J Econ Theory 145(2):495–511, 2010a).     

Sexuality Examined Through the Lens of Attachment Theory: Attachment,Caregiving, and Sexual Satisfaction

Attachment researchers have proposed that the attachment, caregiving, and sexual behavioral systems are interrelated in adult love relationships (Mikulincer &; Shaver, 2007 Mikulincer , M. , &; Shaver , P. R. ( 2007 ). Attachment in adulthood: Structure, dynamics, and change . New York , NY : Guilford . [Google Scholar]). This study examined whether aspects of partners’ caregiving (proximity, sensitivity, control, compulsive caregiving) mediated the association between their attachment insecurities (anxiety and avoidance) and each other's sexual satisfaction in two samples of committed couples (Study 1: 126 cohabiting or married couples from the general community; Study 2: 55 clinically distressed couples). Partners completed the Experiences in Close Relationships measure (Brennan, Clark, &; Shaver, 1998 Brennan , K. A. , Clark , C. L. , &; Shaver , P. R. ( 1998 ). Self-report measurement of adult attachment: An integrative overview . In J. A. Simpson &; W. W. Rholes (Eds.), Attachment theory and close relationships (pp. 46 – 76 ). New York : Guilford .[Crossref] , [Google Scholar]), the Caregiving Questionnaire (Kunce &; Shaver, 1994 Kunce , L. J. , &; Shaver , P. R. ( 1994 ). An attachment-theoretical approach to caregiving in romantic relationships . In K. Bartholomew &; D. Perlman (Eds.), Advances in personal relationships (pp. 205 – 237 ). London : Kingsley . [Google Scholar]), and the Global Measure of Sexual Satisfaction (Lawrance &; Byers, 1998 Lawrance , K. , &; Byers , E. S. ( 1998 ). Interpersonal Exchange Model of Sexual Satisfaction Questionnaire . In C. M. Davis , W. L. Yarber , R. Bauserman , G. Schreer &; S. L. Davis (Eds.), Sexuality-related measures: A compendium (pp. 514 – 519 ). Thousand Oaks , CA : Sage . [Google Scholar]). Path analyses based on the actor-partner interdependence model (APIM) revealed that caregiving proximity mediated the association between low attachment avoidance and partners’ sexual satisfaction in distressed and nondistressed couples. Sensitivity mediated this association in nondistressed couples only. Control mediated the association between men's insecurities (attachment-related avoidance and anxiety) and their partners’ low sexual satisfaction in nondistressed couples. Attachment anxiety predicted compulsive caregiving, but this caregiving dimension was not a significant mediator. These results are discussed in light of attachment theory and their implications for treating distressed couples.     

Sticky floors and glass ceilings in Latin America

We employ unconditional quantile-decomposition methods to analyze the gender wage gap (gwg) in the urban region of twelve Latin American countries. Using data from harmonized household surveys we decompose the gwg into an explained component (differences in human capital) and an unexplained component (different rates of return to human capital). We find evidence of sticky floors (larger gwg at the tenth percentile than at the median) and glass ceilings (larger gwg at the ninetieth percentile than at the median). The former are more frequent and their magnitude is generally larger. Working women are more educated than working men all along the wage distribution, which partially hides the ‘unexplained’ pay difference. Finally, we find that poorer countries and countries with more income inequality have higher gwg at the tenth percentile of the wage distribution. Richer countries and countries with lower inequality present larger gwg at the ninetieth percent of the wage distribution.     

Critical Flaws in the Female Sexual Function Index and the International Index of Erectile Function

The Female Sexual Function Index (FSFI; Rosen et al., 2000 Rosen , R. C. , Brown , C. , Heiman , J. , Leiblum , S. , Meston , C. , Shabsigh , R. , … D'Agostino , R. ( 2000 ). The Female Sexual Function Index (FSFI): A multidimensional self-report instrument for the assessment of female sexual function . Journal of Sex and Marital Therapy , 26 , 191 – 208 . doi: 10.1080/009262300278597 [Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]) and International Index of Erectile Function (IIEF; Rosen et al., 1997 Rosen , R. C. , Riley , A. , Wagner , G. , Osterloh , I. H. , Kirkpatrick , J. , &; Mishra , A. ( 1997 ). The International Index of Erectile Dysfunction (IIEF): A multidimensional scale for assessment of erectile dysfunction . Urology , 49 , 822 – 830 . doi: 10.1016/S0090-4295(97)00238-0 [Crossref], [PubMed], [Web of Science ®] , [Google Scholar]) are two of the most widely used measures of sexual dysfunction. However, they have potential measurement and psychometric flaws that have not been addressed in the literature. This article examines the measurement capabilities of these measures based on data collected from an online study in 2010. A convenience sample of 518 sexually active adults (65% female) drawn from the general community were included in the analyses. Both measures displayed critical theoretical and measurement problems for the assessment of sexual problems beyond sexual arousal, and for the sexual desire domains in particular. Based on these results, we encourage clinicians and researchers to think critically about whether the FSFI and IIEF are appropriate measures for their practice and research. In particular, these measures are inappropriate for use among individuals who are not currently sexually active, and research with a focus other than sexual arousal should consider supplementary measures of sexual function. The psychometric properties of these measures should be reassessed in clinical samples, but the theoretical issues with the measures raised in this article are relevant across clinical and research contexts.     

On Social Capital and Diversity in a Feminized Industry: Further Developing a Theory of Internal Public Relations

Women's work relationships with other women in public relations management settings provide context for further developing Kennan and Hazleton's (2006 Kennan , W. R. , & Hazleton , V. ( 2006 ). Internal public relations, social capital, and the role of effective organizational communication . In C. H. Botan and V. Hazleton (Eds.) Public relations theory II (pp. 311 – 338 ). Mahwah , NJ : Lawrence Erlbaum Associates . [Google Scholar]) conception of internal public relations (IPR) theory. To date, undertheorized in the public relations literature are intra-management relationships, social capital-diversity links, and connections between practitioners’ day-do-day lives and organizational contexts. Interviewed were 42 senior-level female public relations managers (African American, Asian American, Caucasian, and Hispanic) whose experiences reveal outcomes of woman/woman dyad work relationships over the past 5 decades and ways these may impact IPR in feminized industries. Explication of IPR theory and suggestions for further development are offered.     

Teaching Social Register and Code Switching in the Classroom

Children in poverty have been shown to master only the informal registers of the English language (Payne 1996 Payne, R. 1996. A framework for understanding poverty, Highlands, Texas: AHA Publications.  [Google Scholar]). Unable to understand the formal register used in schools and on standardized tests, students in poverty achieve at a lower rate in school (Hodgkinson 1995 Hodgkinson, H. L. 1995. What should we call people?: Race, class and the census of 2000. Phi Delta Kappa, 77(2): 173–79. [Web of Science ®] [Google Scholar]) and choose inappropriate behaviors as a result of misunderstandings that are attributed to the inability to understand the language used in the formal register (Payne 1996 Payne, R. 1996. A framework for understanding poverty, Highlands, Texas: AHA Publications.  [Google Scholar]). A school in Cincinnati, Ohio is teaching the skills necessary for these children to translate, understand, and use other registers and codes of the English language. This article describes this curriculum and suggests that this method assists young children in poverty to learn the language of formal register and consequently experience greater academic and affective success in school.     

Toward a Publics-Driven,Emotion-Based Conceptualization in Crisis Communication: Unearthing Dominant Emotions in Multi-Staged Testing of the Integrated Crisis Mapping (ICM) Model

To better understand not only the minds, but also the hearts of key publics, we have developed a more systemic approach to understand the responses of audiences in crisis situations. The Integrated Crisis Mapping (ICM) model is based on a publics-based, emotion-driven perspective where the publics' responses to different crises are mapped on 2 continua, the organization's engagement in the crisis and primary publics' coping strategy. This multistage testing found evidence that anxiety was the default emotion that publics felt in crises. The subsequent emotions felt by the publics varied in different quadrants involving different crisis types. As far as coping strategies were concerned, conative coping was more evident than cognitive coping across the 4 quadrants. Evidence also suggested strong merit that conative coping was the external manifestation of the internal cognitive processing that had taken place. Cognitive coping was thus the antecedent of conative coping. Although both the publics and the organizations agreed that the crises were relevant to the organizations' goals, they differed on who should assume more responsibility. The findings, although still very much exploratory, suggest theoretical rigor in the model, with room for further refinements to generate what Yin (2003 Yin , R. K. ( 2003 ). Case study research (3rd ed.) . Thousand Oaks , CA : Sage .  [Google Scholar]) termed “analytic generalization” (p. 33) for the ICM model.     

Robert Bostrom's Contribution to Listening in Organizational Contexts

Robert Bostrom has not only left a listening legacy, but he was also a pioneer in the larger discipline of communication. Bostrom was one of the first scholars to focus on the dynamics of interpersonal contexts, thereby directly contributing to the transition of our field from “speech” to “communication.” Early on he recognized the importance of relational issues and reciprocity, concepts that would later become particularly important to listening researchers and practitioners. In this early work, when the discipline was concerned almost exclusively with the creation and sending of messages, he emphasized the importance of “listener involvement” in the communication process and, from the beginning, demonstrated a commitment to reveal the relevance of communication in everyday contexts (Andersch, Staats, &; Bostrom, 1969 Andersch, E., Staats, L. and Bostrom, R. 1969. Communication for everyday use, New York, NY: Holt, Rinehart, &; Winston.  [Google Scholar]).     

Disability,pain and love in Jewish cosmology?

Individuals with disabilities face numerous barriers that limit their inclusion within the Jewish community (Trieschmann 2001 Trieschmann, R. B. 2001. “Spirituality and Energy Medicine.” Journal of Rehabilitation 67 (1): 26–32.[Web of Science ®] , [Google Scholar]). While many Jewish communities have progressed and moved towards an attitude of ‘acceptance’ and ‘tolerance’ for people with disabilities out of religious obligation, it is often a practice without the spiritual ethical governing force and guiding principles of respect, equality, and human rights (Shatz and Wolowelsky 2004 Shatz, D., and J. B. Wolowelsky. 2004. Mind, Body, and Judaism: The Interaction of Jewish Law with Psychology and Biology. Ktav Publishing House: Yeshiva University Press. [Google Scholar]). People with disabilities are stereotyped as dependent, draining, incompetent, pitiful, victims, freaks, angels, embarrassments, innocent, pathetic, and asexual social burdens (Nario-Redmond 2010 Nario-Redmond, M. R. 2010. “Cultural Stereotypes of Disabled and Non-Disabled Men and Women: Consensus for Global Category Representations and Diagnostic Domains.” British Journal of Social Psychology 49: 471–488.10.1348/014466609X468411 [Crossref], [PubMed], [Web of Science ®] , [Google Scholar]). What is lacking is the consideration of people with disabilities as human beings. This injustice is most evident, painful, and damaging at an individual and communal level when it comes to Jewish singles and their pursuit of intimate relationships. A central Jewish value, right, and goal, one that is strongly promoted in Israeli society, is that of committed intimate relationships. However, this value does not apply to people with disabilities     

The Sexual Consent Scale–Revised: Development,Reliability, and Preliminary Validity

The Sexual Consent Scale–Revised (SCS–R) measures an individual's beliefs, attitudes, and behaviors with respect to how sexual consent should be and is negotiated between sexual partners. This study extends previous research on sexual consent by revising a scale using the Theory of Planned Behavior (Ajzen, 1991 Ajzen , I. ( 1991 ). The Theory of Planned Behavior . Organizational Behavior and Human Decision Processes , 50 , 179 – 211 .[Crossref], [Web of Science ®] , [Google Scholar], 2001 Ajzen , I. ( 2001 ). Attitudes . Annual Review of Psychology , 52 , 27 – 58 .[Crossref], [PubMed], [Web of Science ®] , [Google Scholar], 2005 Ajzen , I. ( 2005 ) . Attitudes, personality, and behavior ( , 2nd ed. ). Milton-Keynes , England : Open University Press/McGraw-Hill . [Google Scholar]) as its theoretical foundation. The psychometric properties of the SCS–R were established using factor analysis, construct validity tests, as well as internal consistency and test–retest reliability. Five factors emerged: perceived behavioral control, positive attitude toward establishing consent, sexual consent norms, indirect consent behaviors, and awareness of consent. Results indicated that the SCS–R can be useful for examining a variety of research questions relating to sexual consent.     

Gender Differences in Alcohol Use and Alcohol-Related Problems: Do They Hold for Lesbians and Gay Men?

ABSTRACT

Research regarding gender differences in alcohol use and alcohol-related problems finds that men drink more and suffer higher rates of alcohol-related problems compared with women. The purpose of the current study was to examine whether these differences also exist between lesbians and gay men. A sample of 335 lesbians and gay men were recruited through lesbian and gay events, Listservs, and friendship networks. Items from the National Household Survey on Drug Abuse (Substance Abuse and Mental Health Services Administration, 2000 Substance Abuse and Mental Health Services Administration. 2000. National household survey on drug abuse: Main findings 1998, Rockville, MD: Author.  [Google Scholar]) measured alcohol consumption. The Michigan Alcoholism Screening Test (Selzer, 1971 Selzer, M. L. 1971. The Michigan Alcoholism Screening Test: The quest for a new diagnostic instrument. American Journal of Psychiatry, 127: 89–94. [Crossref], [Web of Science ®] , [Google Scholar]) and the Drinker Inventory of Consequences (Miller, Tonigan, & Longabaugh, 1995 Miller, W. R., Tonigan, J. S. and Longabaugh, R. 1995. “The drinker inventory of consequences (DrInC): An instrument for assessing adverse consequences of alcohol abuse test manual”. In National Institute on Alcohol Abuse and Alcoholism Project Match, Monograph Series, 4, Rockville, MD: U.S. Department of Health and Human Services.  [Google Scholar]) measured alcohol-related problems. Gay men tended to drink more often than lesbians, but there were no significant gender differences regarding alcohol-related problems. Research, theoretical, and clinical implications are discussed.     

Rethinking Theory

‘Capitalist racist patriarchy’ is how Zillah Eisenstein (1998 Eisenstein, Z. R. 1998. Global Obscenities: Patriarchy, Capitalism, and the Lure of Cyberfantasy, New York: New York Press.  [Google Scholar]) characterizes global inequalities and the hierarchies of ‘difference’ they constitute. This article assumes that feminist theory aims not only to ‘empower women’ but to advance critical analyses of intersecting structural hierarchies; that this entails not only a critique of patriarchy but its complex conjunction with capitalism and racism; and that such critique requires rethinking theory. Through a critical lens on devalued (‘feminized’) informal work worldwide, the article explores how positivist, modernist and masculinist commitments variously operate in prevailing theories of informality – including those of feminists – with the effect of impeding both intersectional analyses and more adequate critiques of capitalist racist patriarchy.     

Children of Homosexuals More Apt to Become Homosexual and Experience Parental Molestation: Surveys Over Three Decades

In 1996 (Cameron &; Cameron), we reported that adult children of homosexuals more frequently reported homosexual desires and sex with their parent(s). Schumm (2015 Schumm, W. R. (2015). Sarantakos’s research on same-sex parenting in Australia and New Zealand: Importance, substance, and corroboration with research from the United States. Comprehensive Psychology, 4(16), 1–29. doi:10.2466/17.cp.4.16[Crossref] , [Google Scholar]) stated he would focus on “the multifaceted research of Sarantakos (1996 Cameron, P., &; Cameron, K. (1996). Homosexual parents. Adolescence, 31(124), 757–776.[PubMed] , [Google Scholar]) and any research that has corroborated his findings,” but neglected to include ours, though published contemporaneously with Sarantakos.