Single-Peaked Choice

Single-peaked preferences have played an important role in the literature ever since they were used by Black (1948) to formulate a domain restriction that is sufficient for the exclusion of cycles according to the majority rule. In this paper, we approach single-peakedness from a choice-theoretic perspective. We show that the well-known axiom independence of irrelevant alternatives (a form of contraction consistency) and a weak continuity requirement characterize a class of single-peaked choice functions. Moreover, we examine the rationalizability and the rationalizability-representability of these choice functions.

Single-Plateaued Choice

Single-plateaued preferences generalize single-peaked preferences by allowing for multiple best elements. These preferences have played an important role in areas such as voting, strategy-proofness and matching problems. We examine the notion of singleplateauedness in a choice-theoretic setting. Single-plateaued choice is characterized by means of a collinear interval continuity property in the presence of independence of irrelevant alternatives. Further results establish that our notion of single-plateauedness conforms to the motivation underlying the term and we analyze the consequences of alternative continuity properties. The importance of basic assumptions such as closedness and convexity is discussed. Journal of Economic Literature Classification Nos.: D11, D71.

Single-plateaued choice

Single-plateaued preferences generalize single-peaked preferences by allowing for multiple best elements. These preferences have played an important role in areas such as voting, strategy-proofness and matching problems. We examine the notion of single-plateauedness in a choice-theoretic setting. Single-plateaued choice is characterized by means of a collinear interval continuity property in the presence of independence of irrelevant alternatives. Further results establish that our notion of single-plateauedness conforms to the motivation underlying the term and we analyze the consequences of alternative continuity properties. The importance of basic assumptions such as closedness and convexity is discussed. Journal of Economic Literature Classification Nos.: D11, D71.

On Fixed-Path Rationing Methods.

Moulin (1999) characterizes the fixed-path rationing methods by efficiency, strategy-proofness, consistency, and resource-monotonicity. In this note, we give a straightforward proof of his result.

Multiple Public Goods and Lexicographic Preferences Replacement Principle.

We study the problem of locating two public goods for a group of agents with single-peaked preferences over an interval. An alternative specifies a location for each public good. In Miyagawa (1998), each agent consumes only his most preferred public good without rivalry. We extend preferences lexicographically and characterize the class of single-peaked preference rules by Pareto-optimality and replacement-domination. This result is considerably different from the corresponding characterization by Miyagawa (2001a).

Probabilistic Assignments of Identical Indivisible Objects and Uniform Probabilistic Rules.

We consider a probabilistic approach to the problem of assigning k indivisible identical objects to a set of agents with single-peaked preferences. Using the ordinal extension of preferences, we characterize the class of uniform probabilistic rules by Pareto efficiency, strategy-proofness, and no-envy. We also show that in this characterization no-envy cannot be replaced by anonymity. When agents are strictly risk averse von-Neumann-Morgenstern utility maximizers, then we reduce the problem of assigning k identical objects to a problem of allocating the amount k of an infinitely divisible commodity.

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.

Priorities in the Location of Multiple Public Facilities

A collective decision problem is described by a set of agents, a profile of single-peaked preferences over the real line and a number k of public facilities to be located. We consider public facilities that do not su¤er from congestion and are non-excludable. We provide a characterization of the class of rules satisfying Pareto-efficiency, object-population monotonicity and sovereignty. Each rule in the class is a priority rule that selects locations according to a predetermined priority ordering among interest groups. We characterize each of the subclasses of priority rules that respectively satisfy anonymity, hiding-proofness and strategy-proofness. In particular, we prove that a priority rule is strategy-proof if and only if it partitions the set of agents into a fixed hierarchy. Alternatively, any such rule can be viewed as a collection of fixed-populations generalized peak-selection median rules (Moulin, 1980), that are linked across populations, in a way that we describe.

Anonymous Single-Profile Welfarism

This note reexamines the single-profile approach to social-choice theory. If an alternative is interpreted as a social state of affairs or a history of the world, it can be argued that a multi-profile approach is inappropriate because the information profile is determined by the set of alternatives. However, single-profile approaches are criticized because of the limitations they impose on the possibility of formulating properties such as anonymity. We suggest an alternative definition of anonymity that applies in a single-profile setting and characterize anonymous single-profile welfarism under a richness assumption.

From Smeed's Single-Damage Fixed-Form Three-Variable Model to Multinational and Multiprovincial Drag-Type Formulations: Does the Mystery of 1972-1973 Disapear ?

Rapport de recherche

On the health and wellbeing of single working women without children : an analysis of scientific and lay discourse

Cette thèse examine la façon dont on interprète la santé et le bien-être des travailleuses célibataires et sans enfant au sein de deux types de récits : ceux provenant d’études publiées dans des périodiques (récits scientifiques) et ceux provenant d’entrevues qualitatives avec des membres de ce groupe (récits profanes). Sur le plan démographique, leur nombre est significatif; elles représentent 28% des employées canadiennes. Par contre, leur santé/bien-être est peu visible dans les écrits de recherche. Dans les sciences sociales, plusieurs études portent sur l’expérience parfois éprouvante d’être un adulte célibataire vivant dans une culture orientée sur le couple et la famille. Elles mettent l’accent sur le stigma associé à ce statut. Certains suggèrent même que les pratiques de recherche peuvent contribuer à la perpétuation de représentations négatives à l’égard des célibataires. En ayant un profil qui pourrait être symbolique d’une déviation vis-à-vis des attentes normatives entourant la vie de couple ou de famille, les travailleuses célibataires et sans enfant semblent un point de repère utile pour évaluer cette dernière possibilité. S’attarder autant aux récits scientifiques que profanes permettrait d’explorer les tensions et convergences entre eux. Suivant cet objectif, un échantillon de 32 articles scientifiques et de 22 retranscriptions d’entrevues ont été analysés selon une approche d’analyse de discours guidée par les concepts de répertoire interprétatif (une façon cohérente d’aborder un sujet donné) et de position du sujet (une identité mise en évidence par une façon de parler ou d’écrire). Trois articles ont émergé de cette recherche. Suite à une analyse des thèmes communs utilisés dans l’interprétation de la santé/du bien-être du groupe en question, un répertoire interprétatif surnommé la famille comme référence a été identifié. Ce répertoire expliquerait notamment la tendance observée d’expliquer leur santé/bien-être en référant aux états et aux charactéristiques d’être parent ou partenaire. Cette pratique peut avoir l’effet de voiler leur vie privée ou de la construire comme étant relativement appauvrie. L’article 2 examine comment les membres de ce groupe construisent leur propre bien-être. Il identifie la notion d’équilibre entre plusieurs sphères de vie et une identité de femme dynamique comme éléments centraux aux récits sur leur bien-être. Ces derniers vont à l’encontre de la perception des célibataires ou des personnes sans enfant comme ayant des vies moins épanouies ou enrichies et qui ne sont pas touchées par des questions de conciliation travail-vie personnelle. Le troisième article rassemble les deux types de récits autour des sujets de l’emploi et du statut de célibataire en lien avec le bien-être. Il met en évidence de nombreuses similarités et divergences, et théorise la fonction de ces diverses constructions. En conclusion, j’avance qu’une perspective plus critique face au statut de couple ou familial et de ses aspects normatifs pourrait offrir à la recherche en santé publique un point de réflexivité à développer davantage.

Study of NAD(P)H fluorescence in living cardiomyocytes by spectrally resolved time-correlated single photon counting

Mémoire numérisé par la Division de la gestion de documents et des archives de l'Université de Montréal.

Components of reaching and grasping an object may emerge following a single minimization process

Mémoire numérisé par la Division de la gestion de documents et des archives de l'Université de Montréal.