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Persistent link: https://www.econbiz.de/10006894915
Extending on an impossibility result by Baigent [1], it is shown that an anonymous social choice procedure which preserves preference proximity cannot satisfy the weakest possible form of non-imposition.
Persistent link: https://www.econbiz.de/10005147184
Persistent link: https://www.econbiz.de/10001868592
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This article proves a very general version of the Kirman-Sondermann [Journal of Economic Theory, 5(2):267-277, 1972] correspondence by extending the methodology of Lauwers and Van Liedekerke [Journal of Mathematical Economics, 24(3):217-237, 1995]. The paper first proposes a unified framework...
Persistent link: https://www.econbiz.de/10009452493
Eliaz (2004) has established a "meta-theorem" for preference aggregation which implies both Arrow's Theorem (1963) and the Gibbard-Satterthwaite Theorem (1973, 1975). This theorem shows that the driving force behind impossibility theorems in preference aggregation is the mutual exclusiveness of...
Persistent link: https://www.econbiz.de/10009452556
Eliaz (2004) has established a 'meta-theorem' for preference aggregation which implies both Arrow's Theorem (1963) and the Gibbard-Satterthwaite Theorem (1973, 1975). This theorem shows that the driving force behind impossibility theorems in preference aggregation is the mutual exclusiveness of...
Persistent link: https://www.econbiz.de/10010272553
It is well known that the literature on judgment aggregation inherits the impossibility results from the aggregation of preferences that it generalises. This is due to the fact that the typical judgment aggregation problem induces an ultrafilter on the the set of individuals, as was shown in a...
Persistent link: https://www.econbiz.de/10010272584
This article proves a very general version of the Kirman-Sondermann [Journal of Economic Theory, 5(2):267-277, 1972] correspondence by extending the methodology of Lauwers and Van Liedekerke [Journal of Mathematical Economics, 24(3):217-237, 1995]. The paper first proposes a unified framework...
Persistent link: https://www.econbiz.de/10010272607
In a paper published in 1952, the French mathematician Georges-Théodule Guilbaud has generalized Arrow's impossibility result to the "logical problem of aggregation", thus anticipating the literature on abstract aggregation theory and judgment aggregation. We reconstruct the proof of Guilbaud's...
Persistent link: https://www.econbiz.de/10010738468