Barthelemy, Jean-Pierre Arrow’s theorem: Unusual domains and extended codomains. (English) Zbl 0489.90012 Math. Soc. Sci. 3, 79-89 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 5 Documents MSC: 91B14 Social choice Keywords:unusual domains; extended codomains; general ordinal case; weak Pareto principle; independence condition; absolute dictatorships; absolute oligarchies; partial orders; Arrow’s impossibility theorem PDFBibTeX XMLCite \textit{J.-P. Barthelemy}, Math. Soc. Sci. 3, 79--89 (1982; Zbl 0489.90012) Full Text: DOI References: [1] Arrow, K. P., Social Choice and Individual Values (1962), Wiley: Wiley New York [2] Black, D., The Theory of Committees and Elections (1958), Cambridge University Press: Cambridge University Press London · Zbl 0091.15706 [3] Blair, D. H.; Pollack, R. A., Collective rationality and dictatorship: the scope of the Arrow theorem, J. Econom. Theory, 21, 1, 186-194 (1979) · Zbl 0432.90007 [4] Blau, J. H., Semiorders and collective choice, J. Econom. Theory, 21, 1, 195-206 (1979) · Zbl 0415.90012 [5] Ferejohn, J. A.; Fishburn, P. C., Representations of binary decision rules by generalized decisiveness structures, J. Econom. Theory, 21, 1, 28-45 (1979) · Zbl 0413.90005 [6] Fishburn, P. C., Mathematics of Decision Theory (1972), Mouton: Mouton The Hague · Zbl 0276.62012 [7] Gaertner, W.; Salles, M., Procédures d’agrégation avec domaines restreints et théorèmes d’existence, (Batteau, P.; Jacquet-Lagrèze, E.; Monjardet, B., Analyse et Agrégation des Préférences (1981), Economica: Economica Paris) [8] Guha, A. S., Neutrality, monotonicity and the right of veto, Econometrica, 40, 5, 821-826 (1972) [9] Mas-Collel, A.; Sonnenschein, H., General possibility theorems for group decisions, Rev. Econom. Stud., 185-192 (1972) · Zbl 0239.90003 [10] Mirkin, B. G., (Fishburn, P. C., Group Choice (1979), Winston: Winston Washington) [11] Mirkin, B. G., On the problem of reconciling partitions, (Quantitative Sociology, International Perspectives on Mathematical and Statistical Modelling (1975), Academic Press: Academic Press New York) · Zbl 0236.06002 [12] Monjardet, B., An axiomatic theory of tournament aggregation, Math. Oper. Res. 3, 4, 334-351 (1978) · Zbl 0395.90002 [13] Monjardet, B., Axiomatiques et propriétés des quasi-orders, Math. Sci. Humaines, 63, 51-82 (1978) · Zbl 0417.06005 [14] Murakami, Y., Logic and Social Choice (1968), Dover: Dover New York [15] Sen, A., Quasi transitivity, rational choice and collective decisions, Rev. Econom. Stud., 36, 381-389 (1969) · Zbl 0181.47302 [16] Young, H. P., An axiomatization of Borda’s rule, J. Econom. Theory, 9, 43-52 (1974) [17] Young, H. P.; Levenglick, A., A consistent extension of Condorcet’s Election Principle, SIAM J. Appl. Math., 35, 2, 285-300 (1978) · Zbl 0385.90010 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.