caa a22 4500 463174313 CHVBK 20180406164821.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s00355-006-0176-1 doi (NATIONALLICENCE)springer-10.1007/s00355-006-0176-1 Duggan John Department of Political Science and Department of Economics, University of Rochester, 14627, Rochester, NY, USA aut A systematic approach to the construction of non-empty choice sets [Elektronische Daten] [John Duggan] Suppose a strict preference relation fails to possess maximal elements, so that a choice is not clearly defined. I propose to delete particular instances of strict preferences until the resulting relation satisfies one of a number of known regularity properties (transitivity, acyclicity, or negative transitivity), and to unify the choices generated by different orders of deletion. Removal of strict preferences until the subrelation is transitive yields a new solution with close connections to the "uncovered set” from the political science literature and the literature on tournaments. Weakening transitivity to acyclicity yields a new solution nested between the strong and weak top cycle sets. When the original preference relation admits no indifferences, this solution coincides with the familiar top cycle set. The set of alternatives generated by the restriction of negative transitivity is equivalent to the weak top cycle set. Springer-Verlag, 2006 Social Choice and Welfare Springer-Verlag 28/3(2007-04-01), 491-506 0176-1714 28:3<491 2007 28 355 https://doi.org/10.1007/s00355-006-0176-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00355-006-0176-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Duggan John Department of Political Science and Department of Economics, University of Rochester, 14627, Rochester, NY, USA aut NATIONALLICENCE 773 0- Social Choice and Welfare Springer-Verlag 28/3(2007-04-01), 491-506 0176-1714 28:3<491 2007 28 355 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer