The solidarity axiom for quasi-linear social choice problems

Recently, Moulin gave various axiomatic characterizations of solutions to quasi-linear social choice problems. He used a consistency axiom, which relates solutions for societies of different sizes, in addition to some basic axioms. In this paper, we introduce another axiom relating solutions for societies of different sizes, called the Solidarity Axiom. This axiom demands that when additional agents enter the scene, all of the original agents be affected in the same direction, i.e., all of them gain or all of them lose. Our main result is a complete characterization of solutions satisfying the solidarity axiom, in addition to Pareto optimality, anonymity and two normalization axioms. All solutions satisfying these five axioms are in the egalitarian spirit; each solution assigns to every agent an equal share of the surplus over some reference level, but uses a different method to compute the reference level. Then, using additional milder axioms, we give further characterization results concerning various subfamilies.I am extremely grateful to Professor William Thomson for his numerous comments which have considerably improved the exposition of the paper. I would like to thank Professor Hervé Moulin for helpful discussions and insightful comments. The comments from an editor and a referee of this journal are also gratefully acknowledged. I retain, however, full responsibility for any shortcommings     

Equity and the Vickrey allocation rule on general preference domains

We consider the problem of allocating multiple units of an indivisible good among a group of agents in which each agent demands at most one unit of the good and money payment or receipt is required. Under general preference domains that may contain non quasi-linear preferences, the Vickrey allocation rule is characterized by axioms for equity and continuity without use of efficiency: namely, the Vickrey rule is the only rule that satisfies strategy-proofness, weak envy-freeness for equals, non-imposition, and continuity of welfare.     

Reference functions and possibility theorems for cardinal social choice problems

 In this paper, we provide axiomatic foundations for social choice rules on a domain of convex and comprehensive social choice problems when agents have cardinal utility functions. We translate the axioms of three well known approaches in bargaining theory (Nash 1950; Kalai and Smorodinsky 1975; Kalai 1977) to the domain of social choice problems and provide an impossibility result for each. We then introduce the concept of a reference function which, for each social choice set, selects a point from which relative gains are measured. By restricting the invariance and comparison axioms so that they only apply to sets with the same reference point, we obtain characterizations of social choice rules that are natural analogues of the bargaining theory solutions. Received: 8 August 1994/Accepted: 12 February 1996     

Equal factor equivalence in economies with multiple public goods

We reconsider the problem of provision and cost-sharing of multiple public goods. The efficient equal factor equivalent allocation rule makes every agent indifferent between what he receives and the opportunity of choosing the bundle of public goods subject to the constraint of paying r times its cost, where r is set as low as possible. We show that this rule is characterized in economies with a continuum of agents by efficiency, a natural upper bound on everyone's welfare, and a property of solidarity with respect to changes in population and preferences. Received: 3 August 1995 / Accepted : 29 April 1997     

The Separability Principle in Economies with Single-Peaked Preferences

We investigate the implications of the “separability principle” for the class of problems allocating an infinitely divisible commodity among a group of agents with single-peaked preferences. The separability principle requires that for two problems with the same population, but possibly different social endowments, in which the preferences of agents may change, if there is a subgroup of agents whose preferences are the same and the total amounts awarded to them are the same, then the amount awarded to each agent in the subgroup should be the same. First, we investigate the logical relations between separability and other axioms. As it turns out, consistency implies separability. Then, we present characterizations of the uniform rule on the basis of separability and also on the basis of other axioms.     

Solidarity in choosing a location on a cycle

We study the implications of two solidarity conditions on the efficient location of a public good on a cycle, when agents have single-peaked, symmetric preferences. Both conditions require that when circumstances change, the agents not responsible for the change should all be affected in the same direction: either they all gain or they all loose. The first condition, population-monotonicity, applies to arrival or departure of one agent. The second, replacement-domination, applies to changes in the preferences of one agent. Unfortunately, no Pareto-efficient solution satisfies any of these properties. However, if agents’ preferred points are restricted to the vertices of a small regular polygon inscribed in the circle, solutions exist. We characterize them as a class of efficient priority rules.     

Mothering,equality and the individual: Feminist debates and welfare policies in the USA and Sweden

This paper addresses issues raised by ‘welfare reform’ in the USA by using the example of Sweden's women activists in constructing a ‘woman friendly’ welfare state. In the USA, feminist advocates see a tension between the argument that motherhood should be valued by the provision of care allowances, and the view that work should be reformed to meet the needs of parents. This reflects debates about gender difference/equality, the possibility of commonality, and the individual.

The Swedish ‘woman friendly’ welfare state was built on the recognition, through social policy, of the interrelationship among care, material resources, and public voice. The interrelationship was embodied in what I call the ‘social individual’, and articulated in public child care and other policies and collective services. The adequacy of those universal policies and services was frequently judged by the situation of lone mothers, who ceased being ‘deviant’, and often became a model for understanding the interrelationship. Cross-class solidarity among women was a prerequisite for, and was built on, the social individual. This solidarity is now threatened by neoliberal economic and social policies that fragment care, resources, and voice, and therefore the social individual.

It is possible to challenge the downsizing of welfare states by moving the terms of discussion away from the poor as deviant other, acknowledging that all women have much in common with the targets of current policy making. This involves the creation of concrete social policies that embody the relationship among care, resources, and voice, and recognize the inseparability of community, work and family.     

Family,Social Capital and Family Associations

Social capital (SC) is a concept variedly defined and object today of great attention at an international level: it concerns trust among people, the ability to activate nets, solidarity, and civic engagement in the public sphere.

The SC constitutive character makes it producible only in original and fundamental relationships (in primis the family), where trust is developed and the code of solidarity is current.

Nevertheless, the increasing fragmentation and individualization of the family seem to consume SC, rather than to increase it. This leads to the question about the nature of SC today as constituted by the family. Some phenomena, for example family associationism, show that the family is still a patrimony irrefutable for social life: when families constitute family associations, they produce primary and secondary SC.     

FAIR ALLOCATION WHEN PLAYERS' PREFERENCES ARE UNKNOWN

Suppose an arbitrator needs to allocate an asset among two players, whose claims on the asset are incompatible. The allocation outcome is said to be fair if the arbitrator awards an outcome that brings the same utility payoff to the two players whenever the two players' claims are symmetric and the allocation set is symmetric. In conjunction with other natural axioms, this fairness requirement implies a unique allocation outcome for any claims problem. We propose a mechanism which can be used by the arbitrator to implement this allocation outcome, even when the players' preferences are unknown to the arbitrator. (JEL C78, D63, J52)     

An axiomatic approach to intergenerational equity

We present a set of axioms in order to capture the concept of equity among an infinite number of generations. There are two ethical considerations: one is to treat every generation equally and the other is to respect distributive fairness among generations. We find two opposite results. In Theorem 1, we show that there exists a preference ordering satisfying anonymity, strong distributive fairness semiconvexity, and strong monotonicity. However, in Theorem 2, we show that there exists no binary relation satisfying anonymity, distributive fairness semiconvexity, and sup norm continuity. We also clarify logical relations between these axioms and non-dictatorship axioms. Received: 30 August 2000/Accepted: 18 March 2002 This paper is based on Chapt. 4 of my Masters Thesis [15] submitted to Kobe University, and won the Kanematsu Fellowship from the Research Institute for Economics and Business Administration of Kobe University in May 2001. I am grateful to Jun Iritani for helpful discussions and encouragement, two anonymous referees of this journal, three anonymous referees of the Kanematsu Fellowship, Eiichi Miyagawa, Noritsugu Nakanishi, Nguyen Huu Phuc, Hiroo Sasaki, Koji Shimomura, William Thomson, and Toyoaki Washida for detailed comments. I also thank participants at the spring meeting of Japanese Economic Association at Yokohama City University in May 2000, at the annual meeting of the Society for Environmental Economics and Policy Studies in Tsukuba in September 2000, and at the Kanematsu Fellowship Seminar at Kobe University in May 2001 for valuable comments.     

Fair allocation of indivisible goods: the two-agent case

One must allocate a finite set of indivisible goods among two agents without monetary compensation. We impose Pareto-efficiency, anonymity, a weak notion of no-envy, a welfare lower bound based on each agent’s ranking of the subsets of goods, and a monotonicity property w.r.t. changes in preferences. We prove that there is a rule satisfying these axioms. If there are three goods, it is the only rule, together with one of its subcorrespondences, satisfying each fairness axiom and not discriminating between goods.     

Race,Gender, and Attitudes Toward War in Chicago: An Intersectional Analysis1

Although prior research has documented persistent racial and gender differences in public opinion on war across U.S. military conflicts, there is little understanding as to how race and gender simultaneously shape war opinion. Using data from the 2008 Chicago Area Study, this analysis locates gender within an intersectional examination of black‐white differences in support for the U.S. war in Iraq. “Structural” and “racialized” explanations for blacks’ lower level of support relative to whites are tested, first using all respondents, and then for men and women. Exploratory analyses show the race gap in war support to exist solely among Chicago women. Racial differences in partisanship and education are most strongly associated with black‐white differences in Iraq War support among Chicago women. In addition, while affiliation with the Republican Party increases the odds of support among both men and women, education and political alienation decrease the odds of support only among women and the odds of support increase with age only among men. Results highlight the utility of an intersectional lens to the study of public opinion on foreign policy.     

Balanced consistency and balanced cost reduction for sequencing problems

We investigate the implications of balanced consistency and balanced cost reduction in the context of sequencing problems. Balanced consistency requires that the effect on the payoff from the departure of one agent to another agent should be equal between any two agents. On the other hand, balanced cost reduction requires that if one agent leaves a problem, then the total payoffs of the remaining agents should be affected by the amount previously assigned to the leaving agent. We show that the minimal transfer rule is the only rule satisfying efficiency and Pareto indifference together with either one of our two main axioms, balanced consistency and balanced cost reduction.     

Welfare-domination under preference-replacement: A survey and open questions

The objective of this paper is to describe various applications of a requirement of solidarity pertaining to situations in which the preferences of some of the agents may change. It says that the welfares of all agents whose preferences are fixed should be affected in the same direction: they should all weakly gain, or they should all weakly lose. We show how this condition, which we name “welfare-domination under preference-replacement”, can help in evaluating allocation rules. We discuss it in several contexts: private good allocation in classical economies, public good decision, binary choice with quasi-linear preferences, economies with indivisible goods, economies with single-peaked preferences, both in the private good case and in the public good case, and economies with time. For some of these models the implications of the property are well understood. For others, we state a number of open problems. Received: 2 January 1997/Accepted: 26 February 1998     

An axiomatic approach to sustainable development

The paper proposes two axioms that capture the idea of sustainable development and derives the welfare criterion that they imply. The axioms require that neither the present nor the future should play a dictatorial role.Theorem 1 shows there exist sustainable preferences, which satisfy these axioms. They exhibit sensitivity to the present and to the long-run future, and specify trade-offs between them. It examines other welfare criteria which are generally utilized: discounted utility, lim inf. long run averages, overtaking and catching-up criteria, Ramsey's criterion, Rawlsian rules, and the criterion of satisfaction of basic needs, and finds that none satisfies the axioms for sustainability.Theorem 2 gives a characterization of all continuous independent sustainable preferences. Theorem 3 shows that in general sustainable growth paths cannot be approximated by paths which approximate discounted optima. Proposition 1 shows that paths which maximize the present value under a standard price system may fail to reach optimal sustainable welfare levels, and Example 4 that the two criteria can give rise to different value systems.This paper was prepared for a presentation on Reconsideration of Values at the Stanford Institute for Theoretical Economics, organized by K.J. Arrow in July 1993. It was also presented at Intergovernmental Panel on Climate Change Seminar in Montreux, Switzerland, March 1994, at a Seminar on Inconmensurability and Values at Château du Baffy, Normandy, April 1994, and at the Graduate School of Business of Stanford University in May 1994. e mail gc@columbia.edu.     

Biographies and family solidarity in Québec

In Québec, the 2004 survey Biographies et solidarités familiales (‘biographies and family solidarity in Québec’) was the first quantitative survey to deal with the question of the diverse forms of family solidarity as they have changed over time and in line with modifications in family, work, and public policies. Our purpose here is to present the survey itself along with a certain number of its results. The latter bear, on the one hand, on what we have termed Québec ‘family solidarity spaces’, referring by that to the structural data previous to forms of solidarity as we know them now and, on the other hand, on the changes in the provision of early childhood care over three generations.     

Status and Solidarity: A Reformulation of Early Durkheimian Theory*

Previous scholars have charged that Durkheim provides an inadequate theory of inequality, that the concept of organic solidarity is not well supported, and that egoistic and anomic suicide cannot be adequately distinguished. Although these problems appear distinct, they each arise because Durkheim naturalized inequality and ignored social status. Introducing a concept of status permits a reconceptualization of the types of suicide and creates new analytic connections between The Division of Labor and Suicide. Social solidarity and status hierarchies are presented as variations in the relationship between social integration and social regulation. The interplay between status and solidarity influences the expression of social practice, power, belief, and justice.     

Partially monotonic bargaining solutions

The purpose of the paper is to study partially monotonic solutions for two-person bargaining problems. Partial monotonicity relates to the uncertainty a player has about the solution before bargaining. If the minimum utility a player can expect is greater in game T than in game S, and if T contains more alternatives than S, this may bring him to expect that his utility at the solution is greater in T than in S. Partially monotonic solutions reflect these expectations.One partially monotonic solution is axiomatized. The axioms of symmetry and independence of linear transformations are not explicitly assumed, although the solution has also these properties. The Kalai-Smorodinsky solution is shown to be the only continuous partially monotonic solution.This study was financed by the Yrjö Jahnsson Foundation, which is gratefully acknowledged. I like to thank an associate editor and a referee for their valuable suggestions, and the Yrjö Jahnsson Foundation Study Group on Public Economics for useful discussions     

Social compromise and social metrics

In the context of constitutional design, a committee of citizens' representatives proposes (social choice) axioms. The outcome should not necessarily be the aggregation rule, or rules, satisfying each of the axioms. Alternative procedures are recommended for aggregating a set of axioms into a single summary axiom. The summary axiom generates a single social decision function when a social metric is applied.     

Priority,solidarity and egalitarianism

We provide alternative axiomatic characterizations of the extended egalitarian rules (Moreno-Ternero and Roemer, Econometrica 74:1419–1427, 2006) in a fixed-population setting of the canonical resource allocation model based on individual capabilities (output functions). Our main axioms are disability monotonicity (no reduction in the amount of resources allocated to an agent after she becomes more disabled) and agreement (when there is a change in agents’ capabilities or total resources, all agents who remain unchanged should be influenced in the same direction: all unchanged agents get more or all get less or all get the same amount as before).