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Combinatorial versus decision-theoretic components of impossibility theorems

✍ Scribed by David Makinson


Publisher
Springer US
Year
1996
Tongue
English
Weight
463 KB
Volume
40
Category
Article
ISSN
0040-5833

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✦ Synopsis


We separate the purely combinatorial component of An'ow's Impossibility Theorem in the theory of collective preference from its decision-theoretic part, and likewise for the closely related result of Blair/Bordes/Kelly/Suzumura. Such a separation provides a particularly elegant proof of the former, via a new 'splitting theorem'.


πŸ“œ SIMILAR VOLUMES


Decision making beyond arrow's β€œimpossib
✍ Hung T. Nguyen; Olga Kosheleva; Vladik Kreinovich πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 224 KB πŸ‘ 2 views

In 1951, K.J. Arrow proved that, under certain assumptions, it is impossible to have group decisionmaking rules that satisfy reasonable conditions like symmetry. This Impossibility Theorem is often cited as a proof that reasonable group decision-making is impossible. We start our article by remarkin