How Many Balance Functions Does it Take to Determine a Utility Function?

Call b your balance function at wealth W if you are indifferent between W and a 50–50 lottery with outcomes x and b(x). Given one b, u is arbitrary on one side of W but then determined on the other. Given two b‘s, u is arbitrary between the two W′ s but then determined elsewhere. Additional properties of u restrict the b’s but do not ordinarily make u unique. Contradictions can occur. Given three b′ s, an algorithm is developed using minimal domains of definition that determines the relative utility of the W’s. If it is irrational, then the set S generated by applying all combinations of b’s to W′ s is dense and u is determined. If finitely many b’s are rationally related, then S is discrete, a further algorithm determines it, the values of u on S are equally spaced, and u is arbitrary between any two adjacent points of S but then determined elsewhere. Infinitely many balance functions determine u unless they are rationally related in a uniform way.JEL Classification: D81     

Networking Enforced – Comparing Social Services' Collaborative Rationales across Different Welfare Regimes

Collaboration and networking are ubiquitous, versatile features of social service provision in most Western countries. However, it is an open question whether networking means and entails the same across countries. Comparing regulatory frameworks in three jurisdictions representing distinctive ‘worlds of welfare services’ – Germany, Norway and Quebec – this article aims at eliciting the normative rationales that underpin and inform local service networks in child welfare and protection (CWP) systems. In Norway, where services are little diversified and largely insular, networking appears as a way of opening up for greater organizational plurality, within and beyond the public sector realm. In Germany in contrast, where services are highly pluralized and fragmented, networks are seen as an instrument for streamlining complexity. As for Quebec – an intermediate case in some respects – networking is envisioned as a catalyst for aligning two co‐existing service streams and mitigating the child protection–family support divide. Interestingly, in all three places, networking is now being enforced through similar highly formalized, top‐down regulatory provisions, even though the intended directions of change differ markedly. This has implications for CWP policy as well as research on networks at large.     

The Moral Economy of Intergenerational Redistribution in an Ageing Society: A Qualitative Analysis of Young Adults' Beliefs in the United States

In the USA, the largest generation, the Baby Boomers, is currently retiring and increasingly drawing from Old Age Social Security. In this context, young generations are said to be disadvantaged: they have to support a growing number of pensioners while expecting much lower pensions themselves. Drawing on 14 original semi‐structured interviews with young US citizens aged 20–36, this study analyzes the moral economy of intergenerational redistribution – defined as normative beliefs and justifications of a just distribution of contributions and benefits between generations. The qualitative content analysis resorts to the four constituent institutional principles of intergenerational redistribution: deservingness (being qualified to receive support), reciprocity (mutual support between generations), equity (relation between in‐ and outputs for one generation) and equality (corresponding conditions for different generations). The first main finding is that the young hold multiple normative beliefs in favour of intergenerational redistribution. The second main finding is that different normative beliefs and justifications can compensate for feelings of injustice attributable to the consequences of an ageing society. The qualitative findings' contributions to the field of study that is dominated by quantitative studies are concluded. Implications for public support for intergenerational redistribution in the ageing society of the USA and other countries are discussed.     

Re B‐S: a glass half full? An exploration of the implications of the Re B‐S judgment on practice in the family courts

The family courts in England and Wales are being significantly reformed in line with the coalition government's aim to speed up the process and increase the numbers of children being adopted from care. In September 2013, the Court of Appeal handed down a judgment, Re B‐S (Children) [2013] EWCA Civ 1146, that has wide‐ranging implications for professional practice and decision making in care proceedings. The judgment challenges the policy direction and provides guidance about what is required before courts can make orders separating children from their birth families, particularly in cases of non‐consensual adoption. In this paper, we outline the changes occurring in the family justice system, some key elements of Re B‐S, and examine the challenges for implementing practice consistent with the requirements of Re B‐S. It is argued that the standards set by Re B‐S are unlikely to be fully implemented without much further attention to the complexities posed by the policy and practice context of social work with children and their families involved in care proceedings.     

A revealed preference analysis of solutions to simple allocation problems

We interpret solution rules on a class of simple allocation problems as data on the choices of a policy maker. We analyze conditions under which the policy maker’s choices are (i) rational (ii) transitive-rational, and (iii) representable; that is, they coincide with maximization of a (i) binary relation, (ii) transitive binary relation, and (iii) numerical function on the allocation space. Our main results are as follows: (i) a well-known property, contraction independence (a.k.a. IIA) is equivalent to rationality; (ii) every contraction independent and other-c monotonic rule is transitive-rational; and (iii) every contraction independent and other-c monotonic rule, if additionally continuous, can be represented by a numerical function.     

Insurance for low-probability hazards: A bimodal response to unlikely events

Two insurance experiments using real-money consequences and multiple rounds to provide experience are described. In the first experiment, subjects bid for insurance to prevent a fixed loss of 4 at probabilities ranging from .01 to .9. Mean bids were near expected value except at the lowest probability of.01, for which a very bimodal distribution was observed (some subjects bid zero and others bid much more than expected value). A second experiment explored this bimodality at a probability of .01 with loss increased to4 at probabilities ranging from .01 to .9. Mean bids were near expected value except at the lowest probability of.01, for which a very bimodal distribution was observed (some subjects bid zero and others bid much more than expected value). A second experiment explored this bimodality at a probability of .01 with loss increased to 40. A similar bimodal distribution was obtained that persisted over 50 rounds of experience. These laboratory results are consistent with field evidence for low-probability hazards, for which people appear either to dismiss the risks or to worry too much about them.We would like to thank Alan Carlin, Ann Fisher, Risa Palm, and David Brookshire for their helpful comments on an earlier version of this article, and Rebecca Boyce, Julie Irwin, Glenn Russell, and Joy Smith for research assistance. We also gratefully acknowledge support from the University of Colorado Council on Research and Creative Work for human subject payments and from the U.S. Environmental Protection Agency, Office of Policy, Planning and Evaluation for support for research design and analysis provided as part of Cooperative Agreement #CR812054. All errors, opinions and conclusions are the sole responsibility of the authors.     

Sequential voting by veto: Making the Mueller-Moulin algorithm more versatile

This paper shows that a relatively easy algorithm for computing the (unique) outcome of a sophisticated voting procedure called sequential voting by veto (SVV) applies to a more general situation than considered hitherto. According to this procedure a sequence of n voters must select s out of m + s options (s > 0, m 3 n 3 2). The ith voter, when his turn comes, vetoes k _i options (k _i 1, k _i = m). The s remaining non-vetoed options are selected. Every voter is assumed to be fully informed of all other voters total (linear) preference orderings among the competing options, as well as of the order in which the veto votes are cast. This algorithm was proposed by Mueller (1978) for the special case where s and the k _i are all equal to 1, and extended by Moulin (1983) to the somewhat more general case where the k _i are arbitrary but s is still 1. Some theoretical and practical issues of voting by veto are discussed.     

Critical Components in Implementing Evidence‐based Practice: A Multiple Case Study of Individual Placement and Support for People with Psychiatric Disabilities

When developing Community Mental Health Services to support people with psychiatric disabilities, European countries are advocating evidence ‐based practice (EBP ). Individual Placement and Support (IPS ) is an evidence ‐based model designed to support people in acquiring and maintaining competitive employment. Implementation science is a growing research field, with a focus on components that impact the process of implementing EBP programmes. In this multiple case study, we have followed three IPS demonstration sites for two years, in order to describe and analyze barriers and facilitators for implementation, according to constructs described in the Consolidated Framework for Implementation Research (Damschroder et al. 2009 ). The results highlight the importance of strategic networking, as well as the need for planning and preparations carried out before the start of an EBP programme, since deficiencies related to these constructs are difficult to compensate for.      

Caregivers' Coping and Self-Forgiveness After the Death of a Care-Receiver

ABSTRACT

This study explores the relationship of self-forgiveness with adaptive coping and nonadaptive coping. This study addresses self-forgiveness as part of the grieving process of Alzheimer's disease caregivers. One hundred and thirty-three caregivers who had recently lost a loved one were surveyed. The bivariate analysis revealed a significant relationship between self-forgiveness and adaptive coping and non-adaptive coping. Furthermore, stepwise regression models computed for the study variables revealed that adaptive coping and non-adaptive coping were statistically significant in explaining the variation in self-forgiveness. Based on these findings, future directions in research are explored.     

Do Public Officials Trust Citizens? A Welfare State Perspective

In this exploratory study, we investigate whether public sector officials and non‐public sector officials differ in the trust they have in members of society and whether this difference is associated with the welfare regime in which they work. Using survey data from the sixth round of the European Social Survey, we compare public sector officials' trust to that of non‐public sector officials in 13 countries with four different forms of welfare regimes. Our results demonstrate that public officials have a higher level of trust than non‐public officials do. Furthermore, trust among both public and non‐public sector officials is much higher in social‐democratic regimes, followed by corporatist countries, liberal regimes, Israel (as a unique case) and, lastly, southern European regimes. As expected, public officials' degree of trust reflects the general trends of their societies. Interestingly, in social‐democratic regimes, differences between trust among public and non‐public officials are the highest compared to the other regimes. In addition, an individual‐level analysis in five countries illustrative of each welfare regime indicates that while income, belonging to a minority group, and age are significant factors in explaining public officials' trust, socio‐demographic variables contribute little to the differences between public and non‐public officials. Given the critical role of trust in the functioning of the welfare state, our results imply that further awareness and mechanisms for increasing the degree of trust of citizens among public officials are warranted.     

Measures of Powerlessness in Simple Games

Consider a simple game with n players. Let ψ_i be the Shapley–Shubik power index for player i. Then 1-ψ_i measures his powerlessness. We break down this powerlessness into two components – a `quixote index' Q <sub>i</sub> (which measures how much of a `quixote' i is), and a `follower index' F <sub>i</sub> (which measures how much of a `follower' he is). Formulae, properties, and axiomatizations for Q and F are given. Examples are also supplied. This revised version was published online in June 2006 with corrections to the Cover Date.     

Communication and its cost in graph-restricted games

We consider cooperative games which are modified by subordination to communication networks. Two players i and j will be able to cooperate only if they pay for the cost w _ij of their communication link (i,j). Coalitions of players are treated similarly and a new characteristic function form game is developed thus. We also examine incentive for players to cooperate in such situations as well as a related index of a player's communicative strength.     

Order extensions,budget correspondences,and rational choice

This article is concerned with extensions of a continuous ordering R on a set X to a subset P(X) of the power set of X. The underlying topology will be the Hausdorff metric topology. We will see that continuous extensions of R do not require that P(X) contain every nonempty finite subset of X. Therefore, the analysis can be applied to consumer theory and inverse choice functions. In analogy to these functions budget correspondences are established which relate alternatives x with certain subsets of X, according to the extended ordering.     

A Note on the Portfolio Selection Problem

In this note we provide new results of interest in the portfolio choice problem when the risky opportunities are correlated: for a general vector (X₁, X₂,..., X_n) of risky opportunities we give new conditions for stochastic comparison among different portfolios choices and new necessary and sufficient conditions to characterize the portfolio which gives the maximal expected utility.     

Changes in preference

A basic framework for studies of changes in preference is introduced, and four types of changes in preference are identified.Revision by a sentence such as A is better thanB means that a preference forA overB is acquired. The result ofcontraction by A is better thanB is that the subject no longer holdsA to be better thanB. Inaddition andsubtraction, an alternative is added to, or subtracted from, respectively, the set of alternatives that are under consideration. Formal models of these four types of change are introduced, and they are shown to satisfy plausible postulates for rational changes in preferences.     

Echelons in Incomplete Relations

An efficient method of value assessment of a set of exchangeable alternatives A = {a ₁,a ₂, ,a _n} is presented. It particularly applies to situations where certain preferences may be easily evaluated or are already known, while other binary comparisons may not at once be available. Further applications are to ranking partial tournaments and the emergence and the characterisation of organisational hierarchy. By sequentially performing transitively efficient assessments of uncompared pairs, an initial weakly acyclical preference structure in A is transformed into an ordering of A in echelons. We call these nicely surveyable preference structures echelon orders. Theoretical properties of echelon orders are investigated, including a characterisation and a numerical representation.     

Undisciplining Social Science: Wittgenstein and the Art of Creating Situated Practices of Social Inquiry

There are now countless social scientific disciplines—listed either as the science of … X … or as an ‐ology of one kind or another—each with their own internal controversies as to what are their “proper objects of their study.” This profusion of separate sciences has emerged, and is still emerging, tainted by the classical Cartesian‐Newtonian assumption of a mechanistic world. We still seem to assume that we can begin our inquiries simply by reflecting on the world around us, and by allowing our conceptualizations to guide our actions in our inquiries. Beginning our inquiries in this retrospective manner, however, means that our concepts and conceptualizations are both after‐the‐fact and beside the point, for ‘something else’ altogether is guiding us in the performance of our situation‐sensitive actions than merely our conceptualizations. We need before‐the‐fact, hermeneutically‐structured inquiries that can ‘set out’ inner ‘landscapes of possibilities’, to think‐with and to provide guidance, as we try in our more scientifically organized efforts to achieve socially desired outcomes in particular socially shared situations. Conducting such preliminary inquiries is thus an art, requiring not only judgment, but also imagination and poetic forms of expression aimed at creating such shared, inner landscapes among all concerned.     

The Longitudinal Interplay between Bullying,Victimization, and Social Status: Age‐related and Gender Differences

The current study examined the longitudinal interplay between bullying, victimization, and social status (acceptance, rejection, and perceived popularity) over the course of 1 year. Cross‐lagged path models were estimated for two cohorts, covering grades 3–6 (N = 3904, M age = 11.2 years) and grades 7–9 (N = 4492, M age = 14.4 years). Comparisons between cohorts and by gender were conducted. The results of this study corroborate the complexity of the longitudinal interplay between bullying, victimization, and social status in showing that direction and strength of associations differ by type of peer status, age, and gender. Conclusions cannot be drawn without taking these differences into account. The findings are discussed according to these differences, and directions for future research are provided.     

Complementary properties of binary relations

After defining the complementary relation R of a binary relation R on a set X, this paper constructs the binary relation C (is a complementary property of) on the set P of nine well known elementary properties that R might possess. It deduces some theorems about C; especially that symmetry is the only one of these possible properties of R on X that is possessed by C on P. The set P may be enlarged to contain other elementary properties of R on X without changing the truth of these theorems, when the symbols of sets are properly modified. Finally, the paper discusses the desirability of a general theory of elementary properties of binary relations for the further development of statistical decision theory.     

Poverty and quality of life of Chinese children: From the perspective of deprivation

Using data from the Family and Children Survey of Beijing 2011, the authors constructed a child poverty measure – Child Deprivation Indicators (CDIs) – and explored the relationship between poverty and children's quality of life. The CDIs were found to be a more valid child poverty measure than the conventional measure which is based mainly on individuals' social assistance status. The findings show that deprived children are worse off in terms of living conditions. Furthermore, deprived boys and girls are disadvantaged differently; boys in self‐efficacy and girls in physical development. The findings have four important implications: (i) policy makers should look beyond those on social assistance; (ii) more public funding should be invested in deprived children's informal education and social interaction; (iii) dealing with structural problems relating to parents' socioeconomic status (SES) would be helpful to alleviate child deprivation; (iv) different types of support should be provided to deprived boys and girls for their disadvantages are not identical.