CONNECTING AND RESOLVING SENS AND ARROWS THEOREMS

Authors
Citation
Dg. Saari, CONNECTING AND RESOLVING SENS AND ARROWS THEOREMS, Social choice and welfare, 15(2), 1998, pp. 239-261
Citations number
25
Categorie Soggetti
Social Sciences, Mathematical Methods",Economics
Journal title
ISSN journal
01761714
Volume
15
Issue
2
Year of publication
1998
Pages
239 - 261
Database
ISI
SICI code
0176-1714(1998)15:2<239:CARSAA>2.0.ZU;2-W
Abstract
It is shown that the source of Sen's and Arrow's impossibility theorem s is that Sen's Liberal condition and Arrow's IIA counter the critical assumption that voters have transitive preferences. But if the proced ures are not permitted to treat the transitivity of individual prefere nces as a valued input, then we cannot expect rational outputs. Once t his common cause for these perplexing conclusions is understood, these classical conclusions end up admitting quite benign interpretations w here it becomes possible to propose several resolutions.