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Results n° 1 to 8 of 51 matches
| Title |
Jean-Pierre Barthélemy and Pareto’s principle |
| Author |
MONJARDET Bernard |
| Keywords |
Consensus, Lattice, Majority, Médiane, Metric aggregation rule, Pareto's principle, Remoteness, Symmetric difference distance |
| Topic |
None |
| Abstract |
After his first works in “pure” category theory, Jean-Pierre Barthélemy turns to completely different research directions, namely to discrete mathematics, computer sciences and their contributions to some problems of human or social sciences. His first work in these new areas deals with metric aggregation rules and the Pareto principle in consensus theory. I present this work and I mention developments done by Jean-Pierre Barthélemy himself and by other authors. |
| Number |
197, Spring 2012, special issue: Categories, classification, complexity, consensus ... Around Jean-Pierre Barthélemy's works |
| Language |
 French | Read the article
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| Title |
Order structures and social sciences |
| Author |
LECLERC Bruno, MONJARDET Bernard |
| Keywords |
Formel concept analysis, Galois lattice, Guttman scale, Lattice, Majority, Médiane, Order |
| Topic |
None |
| Abstract |
We present two frequent uses of order structures in Social Sciences. The first one addresses what is often called Formal Concept Analysis, particularly used in data analysis and data mining. The second concerns the "median procedure" present in social choice as well as in mathematical taxonomy. At the origins of each of these uses, one finds innovative results due to Marc Barbut. In the first case, about Guttman scales in hierarchic analysis and about Galois lattices, in the second, about relations between medians and Condorcet's majority rule. |
| Number |
193, Spring 2011 |
| Language |
French | Read the article
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| Title |
Consensus theories, an oriented survey |
| Author |
MONJARDET Bernard, HUDRY Olivier |
| Keywords |
Aggregation rule, Arrowian result, Complexity, Consensus theory, Distance, Lower valuation, Median semilattice, Médiane, Restricted domain, Tournament solution |
| Topic |
None |
| Abstract |
This article surveys seven directions of consensus theories: Arrowian results, federation consensus rules, metric consensus rules, tournament solutions, restricted domains, abstract consensus theories, algorithmic and complexity issues. This survey is oriented in the sense that it is mainly - but not exclusively - concentrated on the most significant results obtained, sometimes with other researchers, by a team of French researchers who are or were full or associate members of the Centre d'analyse et de mathématique sociale (CAMS). |
| Number |
190, Summer 2010, special issue: Theories and uses. Tribute issue to Bruno Leclerc |
| Language |
 English | Read the article
| Title |
Guilbaud's 1952 theorem on the logical problem of aggregation |
| Author |
ECKERT Daniel, MONJARDET Bernard |
| Keywords |
Aggregation, Judgement aggregation, Logical connectives, Simple game, Ultrafilter |
| Topic |
None |
| Abstract |
In a paper published in 1952, shortly after the publication of Arrow's celebrated impossibility result, the French mathematician Georges-Théodule Guilbaud has obtained a dictatorship result for the logical problem of aggregation, thus anticipating the literature on abstract aggregation theory and judgment aggregation. We reconstruct the proof of Guilbaud's theorem, which is also of technical interest, because it can be seen as the first use of ultrafilters in social choice theory. |
| Number |
189, Spring 2010 |
| Language |
English | Read the article
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