Exploiting polyhedral symmetries in social choice

A large amount of literature in social choice theory deals with quantifying the probability of certain election outcomes. One way of computing the probability of a specific voting situation under the Impartial Anonymous Culture assumption is via counting integral points in polyhedra. Here, Ehrhart theory can help, but unfortunately the dimension and complexity of the involved polyhedra grows rapidly with the number of candidates. However, if we exploit available polyhedral symmetries, some computations become possible that previously were infeasible. We show this in three well known examples: Condorcet’s paradox, Condorcet efficiency of plurality voting and in Plurality voting vs Plurality Runoff.     

Network visualization and problem-solving support: A cognitive fit study

This study examines the relative effectiveness of four different social network representations for improving human problem-solving accuracy and speed: node-link diagrams, adjacency matrices, tables, and text. Results suggest that visual network representations improve problem-solving accuracy and speed, compared with text. Among the visual representations, tables produced superior problem-solving outcomes for symbolic tasks and link-node diagrams produced superior problem-solving outcomes for spatial tasks. These results partially support a cognitive fit model of problem-solving support. There is not “one best way” to represent network data. Instead, it is important to match network representations and problem-solving tasks.     

Borda’s Paradox with weighted scoring rules

Representations are obtained for the probabilities that a Strict Borda Paradox and a Strong Borda Paradox are observed for large electorates with three candidates under the standard assumptions of Impartial Culture and Impartial Anonymous Culture. These representations are obtained for general weighted scoring rules (WSRs), and the probabilities are found to be maximized for voting rules like plurality rule and negative plurality rule. It is found that these paradox probabilities are not reduced for every scoring rule with the introduction of some degree of dependence among voters’ preferences with IAC. It is concluded that actual observances of a Strict Borda Paradox should be extremely rare, and that while observances of a Strong Borda Paradox should also be rare, they might occasionally be witnessed.     

A general concept of scoring rules: general definitions,statistical inference,and empirical illustrations

We develop the general conceptual, mathematical and statistical foundations of behavioral social choice for scoring rules. Traditional scoring rules are difficult to assess empirically because one rarely observes the deterministic complete linear orders that they require as input. We provide a general concept of scoring rules in terms of a broad range of mathematical representations of preference or utility, namely arbitrary finite binary relations, probability distributions over such relations, real valued multi-criteria utility vectors and real valued random utility representations. We extend Regenwetter et al.’s (Behavioral social choice. Cambridge University Press, Cambridge, 2006) statistical framework to a more general setting. We illustrate the general modeling and statistical tools by applying them to four well known sets of survey data. We illustrate two potential problems that have previously received little attention and that deserve systematic study in the future: (1) Scoring rule outcomes can suffer from model dependence in that the social welfare functions computed from ballot, survey, or hypothetical data may depend on implicit or explicit modeling assumptions. (2) Scoring rule outcomes may suffer from low statistical confidence in that the correct assessment of social orders from empirical data can be far from certain. We also illustrate the empirical congruence among conceptually competing social choice methods.     

Does speaking or writing Italian make differences?

Although researchers acknowledge the key role of language in immigrant integration, empirical analyses on how proficiency in Italian differently shape the social outcomes of immigrants living in Italy are limited. Using the Italian Survey on Social Condition and Integration of Foreign Citizens, we model individual demographic and linguistic patterns, setting apart communication ability from other linguistic skills. Clustering immigrants by mother tongue linguistic group, we leverage the age at arrival and knowledge of Italian during childhood to address endogeneity. Findings reveal how deficiencies in Italian affect integration outcomes of immigrants: the magnitude of effects due to poor proficiency in communication (understanding and speaking) is larger when compared to more formal linguistic skills (reading and writing). Women suffer from higher linguistic barriers in the employment outcomes than men do. Results give empirical argumentations to support immigrant integration through the development of language-training programmes in destination languages tailored on immigrants' demographic and linguistic profiles.     

On the likelihood of Condorcet's profiles

Consider a group of individuals who have to collectively choose an outcome from a finite set of feasible alternatives. A scoring or positional rule is an aggregation procedure where each voter awards a given number of points, w _j, to the alternative she ranks in j ^th position in her preference ordering; The outcome chosen is then the alternative that receives the highest number of points. A Condorcet or majority winner is a candidate who obtains more votes than her opponents in any pairwise comparison. Condorcet [4] showed that all positional rules fail to satisfy the majority criterion. Furthermore, he supplied a famous example where all the positional rules select simultaneously the same winner while the majority rule picks another one. Let P ^* be the probability of such events in three-candidate elections. We apply the techniques of Merlin et al. [17] to evaluate P ^* for a large population under the Impartial Culture condition. With these assumptions, such a paradox occurs in 1.808% of the cases. Received: 30 April 1999/Accepted: 14 September 2000     

Jury theorems with multiple alternatives

I consider a game in which imperfectly informed jurors vote to select one of several possible choices when there is a natural ordering of the possibilities. Each juror votes for the largest alternative the juror would like to implement, and the alternative that is selected is the largest alternative supported by a given number of jurors. For non-unanimous voting rules, the probability of a mistaken judgment goes to zero as the number of jurors goes to infinity. I also give necessary and sufficient conditions to obtain asymptotic efficiency under unanimous voting rules, and show that unanimous rules may lead to a bias in which moderate outcomes are never chosen.     

Clinical sociology between social disease and sociological disease

This essay's aim is to explore the potential for relieving suffering with which clinical sociology can provide social actors. The author carries out a theoretical reflection of culture's function in human societies. Culture is an instrument for social actors, to give a meaning to what is happening at each moment. If culture does not grant an effective interpretation of reality, phenomena of disease can arise. This can happen for many different reasons, such as incoherent cultural representations or conflicts between different cultural issues. The paper outlines the kinds of cultural disease that can occur, as well as the possible causes of each. It also sets a link between cultural disease and the contemporary, general lack of cognitive references, due to historical changes – such as globalization – that have been happening too fast to be fully accepted by all.     

Computational Modeling of Statistical Learning: Effects of Transitional Probability Versus Frequency and Links to Word Learning

Statistical learning mechanisms play an important role in theories of language acquisition and processing. Recurrent neural network models have provided important insights into how these mechanisms might operate. We examined whether such networks capture two key findings in human statistical learning. In Simulation 1, a simple recurrent network (SRN) performed much like human learners: it was sensitive to both transitional probability and frequency, with frequency dominating early in learning and probability emerging as the dominant cue later in learning. In Simulation 2, an SRN captured links between statistical segmentation and word learning in infants and adults, and suggested that these links arise because phonological representations are more distinctive for syllables with higher transitional probability. Beyond simply simulating general phenomena, these models provide new insights into underlying mechanisms and generate novel behavioral predictions.     

Organizational Values and Their Relation to Organizational Performance Outcomes

The communication of organizational values and their relation to employee outcomes is evaluated between two departments within a Health Care Organization. Organizational values that are congruent with employees' values have been shown to increase employee satisfaction, commitment, and performance outcomes. This article discusses how values are defined and different ways that values can be communicated to acquire improved organizational outcomes. Past research on values within organizations is reviewed.

Questions from the Organizational Culture Survey and the Communication Satisfaction Questionnaire are combined to measure employee satisfaction, morale, and perceived involvement in decision making. The organization provided data on employee absenteeism, turnover, and performance ratings. An analysis of the results indicates employees in departments that have clearly defined and communicated organizational values perceive they are more involved in the organization and more participatory in decision making. Implications of the results for organizations are detailed.     

Framing the Other: cosmopolitanism and the representation of difference in overseas gap year narratives

This paper engages with debates surrounding contemporary cosmopolitanism and the outcomes of cultural encounters. It considers if overseas gap years, often put forward in the UK as a way of becoming a global citizen, enable young Britons to ‘broaden their mind’. I explore representations of the people and places encountered during these periods of time out through an analysis of young people's travel blogs. Four key themes are highlighted in these narratives: the exotic place; feeling ‘out of place’; the importance and outcomes of local interaction; and the historical legacies that are implicated in constructing places as ‘different’. Gappers display a willingness to interact with and gain knowledge about their host communities. Yet as gap years are designed to be distinct from the normal course of things, they also demonstrate the ‘difference’ of places. This can often result in the reproduction of established ways of representing the Other in order to frame them as meaningful. There is a tension in the narratives between ‘globally reflexive’ and ‘globally reproductive’ representations of difference, and I suggest that we might question the development of cosmopolitan attitudes and competencies through undertaking a gap year.     

Is There a Disability Culture? A Syncretisation of Three Possible World Views

Is there a disability culture? Or are disabled people simply individuals-or at best a socio/political minority group-striving to fit in to the dominant culture (whatever that is)? The author challenges Lois Bragg's contention that Deaf Culture exists, but not Disability Culture. The paper first traces historically the different conceptualisations of culture, beginning with E. B. Tylor's Primitive Cultures (1871) through to post-modern accounts by Kuper, Giroux and McLaren. Using a wide range of these concepts, three possible world views of disability culture are developed: Culture as Historical/Linguistic, Culture as Socio/Political, and Culture as Personal/Aesthetic. From these alternatives, a macro-sociological framework is set forth to evaluate each of these world views, as well as a set of ethical questions to consider in choosing which one might be most robust. The paper concludes with a proposal for a syncretized view of disability culture and asserts that the experience of disability culture is a thriving cross-cultural phenomenon which knows no national boundaries-and in particular, is not limited to Martha's Vineyard and American Deaf people.     

Decision under psychological pressure: The shooter's anxiety at the penalty kick

The paper analyses sequences of penalty kicks during football shoot-outs in French cup competitions. We consider in detail the psychological effects to which the kicker is subject: the fear of winning, the fear of losing, the expected outcomes and how much is at stake. Our main conclusion is that the performance (the probability of scoring) is negatively affected by both what is at stake (the impact of my scoring on the expected probability that my team will eventually win) and the difficulty of the situation (the ex ante probability of my team eventually losing). We find no advantage for the team that takes the first kick.     

Approximability of Dodgson’s rule

It is known that Dodgson’s rule is computationally very demanding. Tideman (Soc Choice Welf 4:185–206, 1987) suggested an approximation to it but did not investigate how often his approximation selects the Dodgson winner. We show that under the Impartial Culture assumption the probability that the Tideman winner is the Dodgson winner converges to 1 as the number of voters increase. However we show that this convergence is not exponentially fast. We suggest another approximation—we call it Dodgson Quick—for which this convergence is exponentially fast. Also we show that the Simpson and Dodgson rules are asymptotically different.     

Strategy-proofness of continuous aggregation maps

 We consider continuous aggregation maps (e.g., social welfare functions). By assuming that the voters have preferences over social outcomes, we regard the social decision procedure as a noncooperative game, with the aggregation map as a game form. The map is called strategy-proof if it is a Nash equilibrium that the voters report their most preferred outcomes. We give sufficient topological conditions on the space of outcomes so that only dictatorial maps are strategy-proof. Received: 28 February 1994/Accepted: April 22, 1996     

What Helps Working Informal Caregivers? The Role of Workplace Characteristics in Balancing Work and Adult-Care Responsibilities

Population ageing and expected labour shortages mean that successful reconciliation of adult care and paid work is becoming a key issue for employers, employees and frail older people alike. Based on the detailed workplace-related variables in the fourth European Working Condition Survey, we examined differences in levels and determinants of carers’ and non-carers’ role conflict and one of its outcomes, absenteeism. We found caregivers to exhibit higher levels of perceived work–family conflict. Work schedules and time regimes affect carers’ and non-carers’ work–family conflict alike. However, good friends at work and work overload have a larger impact on carers’ work–family conflict. Furthermore, we found indications for a trade-off between perceived work-to-family conflict and absenteeism via workplace policies.     

Condorcet efficiency: A preference for indifference

The Condorcet winner in an election is the candidate who would be able to defeat all other candidates in a series of pairwise elections. The Condorcet efficiency of a voting procedure is the conditional probability that it will elect the Condorcet winner, given that a Condorcet winner exists. The study considers the Condorcet efficiency of weighted scoring rules (WSR's) on three candidates for large electorates when voter indifference between candidates is allowed. It is shown that increasing the proportion of voters who have partial indifference will increase the probability that a Condorcet winner exists, and will also increase the Condorcet efficiency of all WSR's. The same observation is observed when the proportion of voters with complete preferences on candidates is reduced. Borda Rule is shown to be the WSR with maximum Condorcet efficiency over a broad range of assumptions related to voter preferences. The result of forcing voters to completely rank all candidates, by randomly breaking ties on candidates that are viewed as indifferent, leads to a reduction in the probability that a Condorcet winner exists and to a reduction in the Condorcet efficiency of all WSR's. Received: 31 July 1999/Accepted: 11 February 2000     

Cultural,cognition and human action

To understand culture and cultural evolution we must abandon the atomized and anonymous social environment of neoclassical economics. Culture is a product and a cause of the socialized nature of human action. Examination of the phylogenetic and ontogenetic neural mechanisms that make socialization and culture possible reveals: the ways that culture conserves cognitive resources and makes human interaction possible; and the reason that human culture—but not that of are closest relatives the chimpanzees—is capable of rapid evolution. Understanding the deep cognitive nature of culture explains the sometimes pathological outcomes of cultural evolution and how pathologies may be avoided.     

Probabilistic cheap talk

We consider a model in which there is uncertainty over when a one-shot game will be played. We show how a mechanism designer can implement desirable outcomes in certain economic games by manipulating only the probability that the game is played in a given round while leaving all other aspects of the game unchanged. We also show that if there is no discounting, this uncertainty imparts a sequential structure that is almost mathematically equivalent to a repeated version of the game with discounting. In particular, a folk theorem applies to such games. Thus, games of probabilistic cheap provide a third interpretation of the repeated game framework with the additional feature that expected payoff is invariant to the probability of the game ending. Received: 10 May 1999/Accepted: 16 October 2000     

Unionization and tenure and rank outcomes in Ohio Universities

We explore whether unionization affects tenure and promotion outcomes. Using data on 4,276 faculty from seven Ohio public universities, we find that unionization increases the probability that an individual will be tenured. Unionization also increases (decreases) the probability that an individual will be a full (assistant) professor. Moreover, unionization may standardize the promotion process across disciplines. The largest effect on the promotion process is related to length of service. Faculty who are with an institution longer are more likely to be tenured or in higher ranks. This result occurs for two reaization (1) The tenure and promotion processes are directly related to the number of years an individual works at an institution. Tenure decisions usually have time limitations, and although promotion decisions are not as directly tied to time, one generally becomes a full professor after the attainment of tenure and the rank of an associate professor; (2) Controlling for other factors, senior union faculty are more likely to be tenured or full professors, and they appear to be able to obtain higher ranks more easily. Our thanks to the session participants at the 1996 Missouri Valley Economics Association Conference, to Professor Michael Magura of the University of Toledo who provided most of the data and to an anonymous referree for insightful comments.