Busetto, F. and Codognato, G. and Tonin, S. (2018) 'Integer programming on domains containing inseparable ordered pairs.', Research in economics., 72 (4). pp. 428-434.
Using the integer programming approach introduced by Sethuraman, Teo, and Vohra (2003), we extend the analysis of the preference domains containing an inseparable ordered pair, initiated by Kalai and Ritz (1978). We show that these domains admit not only Arrovian social welfare functions “without ties,” but also Arrovian social welfare functions “with ties,” since they satisfy the strictly decomposability condition introduced by Busetto, Codognato, and Tonin (2015). Moreover, we go further in the comparison between Kalai and Ritz (1978)’s inseparability and Arrow (1963)’s single-peak restrictions, showing that the former condition is more “respectable,” in the sense of Muller and Satterthwaite (1985).
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|Publisher Web site:||https://doi.org/10.1016/j.rie.2018.08.001|
|Publisher statement:||© 2018 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/|
|Record Created:||29 Aug 2018 10:28|
|Last Modified:||21 Feb 2020 01:07|
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