Some startling inconsistencies when electing committees

We generalize the idea of a Condorcet winner to committee elections to select a Condorcet committee of size m. As in the case of a Condorcet winner, the Condorcet committee need not exist. We adapt two methods to measure how far a set of m candidates is from being the Condorcet committee. In particular, we generalize a procedure proposed by Lewis Carroll for selecting the candidate that is closest to being the Condorcet winner to allow the selection of a committee. We also generalize Kemenys method, which gives a complete transitive ranking, to the selection of committees and show that it is closely related to the first method.We show that these methods lead to some surprising inconsistencies. For example, the committee of size k may be disjoint from the committee of size j or they may overlap in any manner, the committee arising from Carrolls method may appear at any locations in the Kemeny ranking, and except for two highly restrictive cases, the members of the committee arising from Kemenys method may appear at any location in the Kemeny ranking. The author wishes to express his thanks to Don Saari for his conversations and suggestions for the paper and to the Institute for Mathematical Behavioral Sciences at the University of California at Irvine where the initial work for this paper took place. He also wishes to thank the anonymous reviewer whose careful reading and suggestions greatly improved the paper.     

Effect of Gender Composition on Group Performance

The effect of gender composition on group performance was investigated over three years using the MARKSTRAT 2 simulation. Senior undergraduates formed groups and competed within five‐firm (group) industries over 10 weeks, as well as submitting group reports on their performances. Performance and report marks were independent of group size and individual performance in other course assessment. Women per group (numbers, percentage, gender ratio) was positively related to simulation performance, with few women‐dominated groups ranking lower than first or second within each industry. Very few all‐men groups achieved first or second rankings. There were no significant correlations between group gender compositions and marks for the group written report. Women's more interactive, people‐oriented and co‐operative work styles apparently facilitate the MARKSTRAT 2 group process and, when combined with men's more analytical decision‐making tendencies and competitive orientation, appear to explain the superior performances of mixed groups. The emergence and utilization of these tendencies within groups are discussed in terms of Social Contact Theory and Competition Theory. Although generalizations from student‐based studies to the workplace is problematic, the results indicate that groups may be more effective when women outnumber or equal men, especially in complex management activities requiring extensive information management and processing, planning and decision‐making over protracted periods.     

ASKING COMPARATIVE QUESTIONS: THE IMPACT OF THE DIRECTION OF COMPARISON

Questions assessing comparative judgments are often phrasedas directed comparisons, that is, a stimulus A (subject) isto be compared to a stimulus B (referent); for example, "Istennis more exciting than soccer or less exciting?" Tversky'swork on judgment of similarity indicated that comparing A toB may result in different similarity judgments than comparingB to A. The four studies reported in this article extend thiswork from judgments of similarity to evaluative judgments ingeneral. The results demonstrate that the direction of comparisonelicited by the wording of the question can have a strong impacton the obtained results. In some instances, a reversal in thedirection of comparison (i.e., comparing A to B vs. B to A)resulted in a reversal of the ordinal ranking. Implicationsfor question wording are discussed.     

Freedom of choice and rational decisions

The paper formalizes a notion of preference-based freedom and examines to which extent such a notion is consistent with otherwise standard conditions of rational decision making. The central result is as follows. Suppose that a preference-based ranking of opportunity sets satisfies a very mild condition of preference for freedom of choice. Then, either the ranking is degenerate in being discontinuous, or the underlying preference relation among the basic alternatives is incomplete. Hence, in any case preference-based rankings of freedom will violate at least some of the basic assumptions of traditional choice modelling. This conclusion is enhanced if the conditions on preference-based freedom are slightly strengthened.I would like to thank the participants of seminars held at the Universities of Karlsruhe and Vienna for valuable comments and stimulating discussions. I am especially indebted to Thomas Christ, Egbert Dierker, Georg Kirchsteiger, Dieter Puppe and anonymous referees for helpful comments. The research has been made possible by a fellowship of the DFG (Deutsche Forschungsgemeinschaft) which is also gratefully acknowledged.     

Testing different rank order question layouts for PC and smartphone respondents

We studied the impact of different layouts for rank order questions on respondent effort, data quality, and substantive results among PC and smartphone respondents, in an experiment in an opt-in online panel in Spain, using an order-by-click design. We experimentally varied the device, the number of columns, and, for smartphone respondents, the position of the ‘next’ button in questions on trust in institutions.

We found some evidence of lower data quality for smartphone users but no evidence that presenting ranking items in one column performs differently than two columns. We also find little evidence that these effects differ by the number of response options presented or the number to be ranked. The placement of the ‘next’ button had little effect on performance on ranking items. Overall, our findings suggest that the format and layout of order-by-click questions has little effect on data quality, regardless of device used.     

Money-metric utilitarianism

We discuss a method of ranking allocations in economic environments which applies when we do not know the names or preferences of individual agents. We require that two allocations can be ranked with the knowledge only of agents present, their aggregate bundles, and community indifference sets—a condition we refer to as aggregate independence. We also postulate a basic Pareto and continuity property, and a property stating that when two disjoint economies and allocations are put together, the ranking in the large economy should be consistent with the rankings in the two smaller economies (reinforcement). We show that a ranking method satisfies these axioms if and only if there is a probability measure over the strictly positive prices for which the rule ranks allocations on the basis of the random-price money-metric utilitarian rule. This is a rule which computes the money-metric utility for each agent at each price, sums these, and then takes an expectation according to the probability measure.     

A comparison of Dodgson's method and Kemeny's rule

In an election without a Condorcet winner, Dodgson's method is designed to find the candidate that is “closest” to being a Condorcet winner. Similarly, if the head-to-head elections among all candidates do not give a complete transitive ranking, then Kemeny's Rule finds the “closest” transitive ranking. This paper uses geometric techniques to compare Dodgson's and Kemeny's notions of closeness and explain how conflict can arise between the two methods. Received: 19 October 1999/Accepted: 6 December 1999     

Lexicographic measurement of the information contained in opportunity sets

An individual who has to choose one item from an opportunity set or menu may lack complete information about the final consequences attached to her choice. This problem has been modeled by Bossert (2000) who introduces an axiomatic approach to the ranking of menus according to their informational content. We propose a different ranking based on the lexicographic ordering on the vectors of numbers of consequences for each item and characterize it axiomatically. Received: 12 June 1998/Accepted: 5 September 2000     

Attitudes to variation in spoken Faroese

This paper presents results from a language attitude test in the Faroe Islands, a small country with considerable dialectal variation and no standard spoken language. The test used is a replica of the verbal guise test method that has been used through the SLICE research network, which includes a verbal guise test to elicit reactions to five regional varieties of Faroese and a label ranking task to elicit statements on language variation. There were 203 Faroese 15‐year‐old students tested. The results from the label ranking task indicate a common notion of a national Faroese dialect hierarchy that favors that of the capital. However, the reaction patterns in the verbal guise test reflect no such hierarchy. The Faroese results thus diverge from the evaluation patterns found in a number of comparable European verbal guise tests, yet are similar to the patterns found in one European test locality: Western Norway.     

Paired comparisons analysis: an axiomatic approach to ranking methods

In this paper we present an axiomatic analysis of several ranking methods for general tournaments. We find that the ranking method obtained by applying maximum likelihood to the (Zermelo-)Bradley-Terry model, the most common method in statistics and psychology, is one of the ranking methods that perform best with respect to the set of properties under consideration. A less known ranking method, generalised row sum, performs well too. We also study, among others, the fair bets ranking method, widely studied in social choice, and the least squares method.     

On Preference, Freedom and Diversity

We study the problem of ranking sets of options in terms of freedom of choice. We propose a framework in which both the diversity of the options and the preferences of the agent over the options do play a role. We formulate some axioms that reflect these two aspects of freedom and we study their logical implications. Two different criteria for ranking sets are characterized, which generalize some of the rankings proposed so far in the literature.     

The Nakamura numbers for computable simple games

The Nakamura number of a simple game plays a critical role in preference aggregation (or multi-criterion ranking): the number of alternatives that the players can always deal with rationally is less than this number. We comprehensively study the restrictions that various properties for a simple game impose on its Nakamura number. We find that a computable game has a finite Nakamura number greater than three only if it is proper, nonstrong, and nonweak, regardless of whether it is monotonic or whether it has a finite carrier. The lack of strongness often results in alternatives that cannot be strictly ranked. Electronic supplementary material  The online version of this article (doi:) contains supplementary material, which is available to authorized users. We would like to thank an anonymous referee for useful suggestions. The discussion in footnote 3 and Remark 4, among other things, would not have been possible without his/her suggestion.     

Ratings and rankings: reconsidering the structure of values and their measurement

Despite extensive discussion and analysis over the past three decades, researchers are still divided over the preferability of rating or ranking systems for measuring values. However, the debate originates from the false premise that one method must be used to the exclusion of the other. A conceptualization of the value structure that uses characteristics of both rating and ranking systems opens up theory and research to a more complex understanding of values. Data from the 1995–1997 World Values Survey demonstrate how using both rating and ranking systems can lead to distinct and equally valid conclusions about the differences in value importance among the nations of the world. This suggests that either method by itself provides an incomplete understanding of the value structure. While the potential methodological complications of using both ratings and rankings must be explored, the additional cost would be a productive investment for moving beyond the rating–ranking impasse.     

On the influence of a ranking system

Ranking systems are becoming increasingly important in many areas, in the Web environment and academic life for instance. In a world with a tremendous amount of choices, rankings play the crucial role of influencing which objects are tasted or selected. This selection generates a feedback when the ranking is based on citations, as is the case for the widely used invariant method. The selection affects new stated opinions (citations), which will, in turn, affect the next ranking. The purpose of this paper is to investigate this feedback in the context of journals by studying some simple but reasonable dynamics. Our main interest is in the long run behavior of the process and how it depends on the preferences, in particular on their diversity. We show that multiple long run behaviors may arise due to strong self-reinforcing mechanisms at work with the invariant method. These effects are not present in a simple search model in which individuals are influenced by the cites of the papers they first read.     

Robust inequality comparisons

This paper is concerned with the problem of ranking Lorenz curves in situations where the Lorenz curves intersect and no unambiguous ranking can be attained without introducing weaker ranking criteria than first-degree Lorenz dominance. To deal with such situations, Aaberge (Soc Choice Welf 33:235–259, 2009) introduced two alternative sequences of nested dominance criteria for Lorenz curves, which proved to characterize two separate systems of nested subfamilies of inequality measures. This paper uses the obtained characterization results to arrange the members of two different generalized Gini families of inequality measures into subfamilies according to their relationship to Lorenz dominance of various degrees. Since the various criteria of higher degree Lorenz dominance provide convenient computational methods, these results can be used to identify the largest subfamily of the generalized Gini families, and thus the least restrictive social preferences, required to reach unambiguous ranking of a set of Lorenz curves. We further show that the weight-functions of the members of the generalized Gini families offer intuitive interpretations of higher degree Lorenz dominance, which generally has been viewed as difficult to interpret because they involve assumptions about third and higher derivatives. To demonstrate the usefulness of these methods for empirical applications, we examine the time trend in income and earnings inequality of Norwegian males during the period 1967–2005.     

WHICH JOURNAL RANKINGS BEST EXPLAIN ACADEMIC SALARIES? EVIDENCE FROM THE UNIVERSITY OF CALIFORNIA

The ranking of an academic journal is important to authors, universities, journal publishers, and research funders. Rankings are gaining prominence as countries adopt regular research assessment exercises that especially reward publication in high‐impact journals. Yet even within a rankings‐oriented discipline like economics there is no agreement on how aggressively lower‐ranked journals are down‐weighted and in how wide is the universe of journals considered. Moreover, since it is typically less costly for authors to cite superfluous references, whether of their own volition or prompted by editors, than it is to ignore relevant ones, rankings based on citations may be easily manipulated. In contrast, when the merits of publication in one journal or another are debated during hiring, promotion, and salary decisions, the evaluators are choosing over actions with costly consequences. We therefore look to the academic labor market, using data on economists in the University of California system to relate their lifetime publications in 700 different academic journals to salary. We test amongst various sets of journal rankings, and publication discount rates, to see which are most congruent with the returns implied by the academic labor market. (JEL A14, I23, J44)     

A Canonical Correlation Analysis of Occupational Mobility Among Mexican Americans*

Studies of occupational mobility have generally ranked occupations on the basis of their socioeconomic status level or prestige component to measure movement between jobs. Two potential problems may limit the usefulness of that approach for racial and ethnic minority groups: (1) the relationship between occupation and socioeconomic status may not be the same as for the majority group, and (2) minority group members are more likely to be clustered at the low end of both socioeconomic and prestige scales. Canonical correlation analysis requires no prior ranking of occupations, so we use it to investigate intergenerational and career mobility among a sample of Mexican Americans. The findings indicate that mobility among Mexican Americans is about as frequent as among the total population, but that the pattern of movement differs considerably. As a result, the relative status of occupations among Mexican Americans has changed over time and, consequently, socioeconomic status scales developed for the total population do not provide accurate assessments of mobility for Mexican Americans. This discrepancy is less noticeable for career mobility, indicating that among the latest generation of Mexican Americans, mobility patterns are becoming more similar to those in the rest of society.     

The abuse of children in out of home care

SUMMARY: One of the major paradoxes in child protective services in the United States is that children removed from their homes on protective orders and placed in foster and group care face continued abuse. These children are reported at two to three times the rates of children living with their families. Investigations are performed by the very system that marks placements. In the US, some recommend resolving these problems by withdrawing from the active protection of children in care. Others hold that because children are in the care and custody of the state, and demand a higher standard of care, specialised prevention, identification. reporting and investigation initiatives are necessary to ensure their safety. This has important implications for other countries, especially the United Kingdom with its recent spate of inquiries into abuse in residential care.     

The Role of the Developmental State and Interethnic Relations in Singapore

Singapore is a city-state in Southeast Asia which, like much of the rest of the region, has a population that is ethnically and culturally diverse because of migration before and during colonial rule. Migration has continued with the rise of modern nation-statehood, particularly as the countries in the region sought to integrate more closely with the global economy. So for some centuries now, Singapore's polyglot population has lived often cheek by jowl in relatively high-density urban conditions generally without major problems. There have, however, been incidents of racial rioting that have been stimulated as much by political opportunists as well as the political tensions arising from transitional periods in the government particularly during the changeover from colonial regime to self-rule in the 1950s to the 1960s.

Singapore's multi-ethnic population comprises a majority of Chinese, 77 per cent and two smaller ethnic groups, the Malays, 15 per cent and Indians 8 per cent together with other small groups like the Eurasians and Arabs. The state has played a major and dominant role in the management of interethnic relations in Singapore. This paper discusses the role that the state has played and the status of relations between the Chinese and Malays.     

Irish immigration and the ‘condition of England’ question: The roots of an historiographical tradition

This article argues that the study of Irish immigration in nineteenth‐century Britain has focused for too long ‐ and often uncritically ‐on what the Victorians themselves wrote about the Irish. It is argued here that historians have taken their lead from Condition of England writers, like Kay, Engels, Mayhew and A. B. Reach, with the result that our understanding of the emergence of Irish communities in Britain has been distorted in two ways. First, historians have concentrated upon ‘apartness’ and ‘settlement’ and have made little effort to assess ‘development’. Secondly, such writings have until recently focused especially on the years 1830 to 1870 to the exclusion of others. This article examines some of the key writings of contemporaries and argues that they represent the beginnings of an historiographical tradition which scholars must now look beyond.