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Thierry Marchant

    Thierry Marchant

    A frequent motivation for the use of scale invariance in the bankruptcy literature is that it imposes that the outcome of a bankruptcy problem does not depend on the units of measurement. We show that this interpretation is not correct.... more
    A frequent motivation for the use of scale invariance in the bankruptcy literature is that it imposes that the outcome of a bankruptcy problem does not depend on the units of measurement. We show that this interpretation is not correct. Scale invariance is an invariance condition that applies when all amounts are multiplied by a constant (without change of units). With this interpretation in mind, it is natural to consider other invariance conditions, for example one that applies when all amounts are increased by the same constant. In this paper, we analyze the consequences of
    Running with musical accompaniment is becoming increasingly popular and several pieces of software have been developed that match the music tempo to the exerciser’s running cadence, that is, foot strikes per minute. Synchronizing music... more
    Running with musical accompaniment is becoming increasingly popular and several pieces of software have been developed that match the music tempo to the exerciser’s running cadence, that is, foot strikes per minute. Synchronizing music with running cadence has been shown to affect several aspects of performance output and perception. The purpose of this study was to investigate the effect of synchronous music on runners’ foot impact loading. This represents the ground reaction force on the runner’s lower leg when the foot impacts the ground and is an important parameter for the prevention of tibial fracture injuries. Twenty-eight participants ran five times for three minutes and 30 seconds with a short break between each run. During the first 30 seconds of each running sequence, participants ran at a self-paced tempo without musical accompaniment, and running speed and cadence were measured. Subsequently, they were requested to keep their reference speed constant for the following t...
    ABSTRACT Our daily life is filled with indicators: I.Q., Dow Jones, GNP, air quality, physicians per capita, poverty index, social position index, consumer price index, rate of return,… If you read a newspaper, you could feel that these... more
    ABSTRACT Our daily life is filled with indicators: I.Q., Dow Jones, GNP, air quality, physicians per capita, poverty index, social position index, consumer price index, rate of return,… If you read a newspaper, you could feel that these magic numbers rule the world.
    In the framework of implementable social choice functions, we present an axiomatic characterization of affine maximizers for an important missing case in the literature: that of two alternatives with restricted domain. We use two... more
    In the framework of implementable social choice functions, we present an axiomatic characterization of affine maximizers for an important missing case in the literature: that of two alternatives with restricted domain. We use two independent conditions: Positive Association of Differences and an independence condition.
    This chapter briefly presents a number of techniques that can be usedto build recommendations in each of three classical problem statements (choosing,ranking, and sorting) on the basis of a preference model. We start with the simplecase... more
    This chapter briefly presents a number of techniques that can be usedto build recommendations in each of three classical problem statements (choosing,ranking, and sorting) on the basis of a preference model. We start with the simplecase of a preference model based on a value function. We then turn to more complexcases.nonouirechercheInternationa
    ... Letter to the Editor. Modern decisive wives don't wear corsets. Thierry Marchant 1,2 ,; Marc Pirlot 3. Article first published online: 22 SEP 1999. DOI: 10.1002/(SICI)1099-1360(199907)8:4<237::... more
    ... Letter to the Editor. Modern decisive wives don't wear corsets. Thierry Marchant 1,2 ,; Marc Pirlot 3. Article first published online: 22 SEP 1999. DOI: 10.1002/(SICI)1099-1360(199907)8:4<237:: AID-MCDA250>3.0.CO;2-Z. Copyright © 1999 John Wiley & Sons, Ltd. Issue. ...
    This chapter deals with a crucial step in the decision aiding process: the aggregation of the alternatives’ performances on each criterion in order to faithfully model the overall preference of the decision maker. The approach we follow... more
    This chapter deals with a crucial step in the decision aiding process: the aggregation of the alternatives’ performances on each criterion in order to faithfully model the overall preference of the decision maker. The approach we follow is that of conjoint measurement, which aims at determining under which conditions a preference can be represented in a particular aggregation model. This approach is first illustrated with the classical additive value function model. Then, we describe two broad families of preference models, which constitute a framework encompassing many aggregation models used in practice. The aggregation rules that fit with the second family of models rely on the aggregation of preference differences. Among this family we find, in particular, models for the outranking relations (concordance relations with vetoes) that are used in several case studies in this book.nonouirechercheInternationa
    ABSTRACT In this chapter, we describe an application that was the theme of a research collaboration between an academic institution and a large company in charge of the production and distribution of electricity. We do not give an... more
    ABSTRACT In this chapter, we describe an application that was the theme of a research collaboration between an academic institution and a large company in charge of the production and distribution of electricity. We do not give an exhaustive description of the work that was done and of the decision-aiding tool that was developed. A detailed presentation of the first discussions, of the progressive formulation of the problem, of the assumptions chosen, of the hesitations and backtrackings, of the difficulties encountered, of the methodology adopted and of the resulting software would require nearly a whole book. Our purpose is to point out some characteristics of the problem, especially on the modelling of uncertainties. The description was thus voluntarily simplified and some aspects, of minor interest in the framework of this book, were neglected. The main purpose of this presentation is to show how difficult it is to build (or to improvise) a pragmatic decision model that is consistent and sound. It illustrates the interest and the importance of having well-studied formal models at our disposal when we are confronted with a decision problem. Sections 8.2 and 8.3 present the context of the application and the model that was established. Section 8.4 is based on a didactical example: it first illustrates and comments some traditional approaches that could have been used in the application; then it gives a detailed description of the approach that was applied in the concrete case.
    It is common to read sentences like “x is better than y on a majority of criteria” or “a majority of voters prefer x to y”. What do such sentences precisely mean? Although the concept of majority, in everyday life, seems unproblematic and... more
    It is common to read sentences like “x is better than y on a majority of criteria” or “a majority of voters prefer x to y”. What do such sentences precisely mean? Although the concept of majority, in everyday life, seems unproblematic and well understood by most people, some difficulties arise when we want to use it formally in MCDA, like in ELECTRE (Roy and Bouyssou, 1993), Melchior (Leclercq, 1984), PROCFTN (Belacel and Boulassel, 2004), TACTIC (Vansnick, 1986), VIKOR (Opricovic and Tzeng, 2004) or VIP-G (Dias and Climaco, 2005). The reason of these difficulties is mainly that it is not clear what the statement “x is better than y” means when, for some criteria, indifference is allowed. Suppose indeed that we have the following situation: x strictly better than y on three criteria, y strictly better than x on two criteria and x and y indifferent on two criteria. If we look only at strict preferences, then x is better than y on a majority of criteria (3 out of 5) but, if we look at...
    La complexité et l’importance des problèmes de gestion rencontrés dans de nombreuses organisations conduisent parfois à rechercher une “préparation scientifique” des décisions, ce que l’on appelle une aide ˆ la dŽcision. L’homme d’étude... more
    La complexité et l’importance des problèmes de gestion rencontrés dans de nombreuses organisations conduisent parfois à rechercher une “préparation scientifique” des décisions, ce que l’on appelle une aide ˆ la dŽcision. L’homme d’étude chargé d’une telle préparation est, en pratique, confronté à des tâches nombreuses et variées : identification des acteurs concernés, formulation du problème, élaboration d’une liste d’actions possibles, définition d’un ou plusieurs critères d’évaluation de ces actions, collecte d’informations, analyses de sensibilité, élaboration d’une recommandation, par exemple, sous la forme d’une sélection des “bonnes” actions ou d’un classement de celles-ci, etc. Son travail est souvent compliqué du fait de la volonté ou de la nécessité de prendre en compte des points de vue ou des critères conflictuels pour évaluer les actions mises en évidence ; on parle alors d’aide multicritre ˆ la dŽcision (cf. Pomerol et Barba-Romero (1993), Roy (1985), Vincke (1989)). S...
    A frequent motivation for the use of scale invariance in the bankruptcy literature is that it imposes that the outcome of a bankruptcy problem does not depend on the units of measurement. We show that this interpretation is not correct.... more
    A frequent motivation for the use of scale invariance in the bankruptcy literature is that it imposes that the outcome of a bankruptcy problem does not depend on the units of measurement. We show that this interpretation is not correct. Scale invariance is an invariance condition that applies when all amounts are multiplied by a constant (without change of units). With this interpretation in mind, it is natural to consider other invariance conditions, for example one that applies when all amounts are increased by the same constant. In this paper, we analyze the consequences of

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