{"id":768,"date":"2015-01-22T16:49:33","date_gmt":"2015-01-22T15:49:33","guid":{"rendered":"http:\/\/mathfinance.sns.it\/?p=768"},"modified":"2015-07-22T16:51:57","modified_gmt":"2015-07-22T15:51:57","slug":"amendola-g-marengo-l-pirino-d-settepanella-s-and-takemura-a-2015-decidability-in-complex-social-choices-evolutionary-and-institutional-economics-review-121-141-168","status":"publish","type":"post","link":"http:\/\/mathfinance.sns.it\/index.php\/amendola-g-marengo-l-pirino-d-settepanella-s-and-takemura-a-2015-decidability-in-complex-social-choices-evolutionary-and-institutional-economics-review-121-141-168\/","title":{"rendered":"Amendola, G., Marengo, L., Pirino, D., Settepanella, S. and Takemura, A. (2015). Decidability in complex social choices. Evolutionary and Institutional Economics Review, 12(1), 141-168."},"content":{"rendered":"<p><strong>Abstract<br \/>\n<\/strong>In this paper, we develop on a geometric model of social choice among bundles of interdependent elements (objects). Social choice can be seen as a process of search for optima in a complex multidimensional space and objects determine a decomposition of such a space into subspaces. We present a series of numerical and probabilistic results which show that such decompositions in objects can greatly increase decidability, as new kind of optima (called local and u-local) are very likely to appear also in cases in which no generalized Condorcet winner exists in the original search space.<br \/>\n<a href=\"http:\/\/link.springer.com\/article\/10.1007\/s40844-015-0006-1?wt_mc=email.event.1.SEM.ArticleAuthorAssignedToIssue\" target=\"_blank\">http:\/\/link.springer.com\/article\/10.1007\/s40844-015-0006-1?wt_mc=email.event.1.SEM.ArticleAuthorAssignedToIssue<\/a><strong><br \/>\n<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Abstract In this paper, we develop on a geometric model of social choice among bundles of interdependent elements (objects). Social choice can be seen as a process of search for optima in a complex multidimensional space and objects determine a decomposition of such a space into subspaces. We present a series of numerical and probabilistic [&hellip;]<\/p>\n","protected":false},"author":11,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[5],"tags":[],"_links":{"self":[{"href":"http:\/\/mathfinance.sns.it\/index.php\/wp-json\/wp\/v2\/posts\/768"}],"collection":[{"href":"http:\/\/mathfinance.sns.it\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/mathfinance.sns.it\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/mathfinance.sns.it\/index.php\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"http:\/\/mathfinance.sns.it\/index.php\/wp-json\/wp\/v2\/comments?post=768"}],"version-history":[{"count":1,"href":"http:\/\/mathfinance.sns.it\/index.php\/wp-json\/wp\/v2\/posts\/768\/revisions"}],"predecessor-version":[{"id":769,"href":"http:\/\/mathfinance.sns.it\/index.php\/wp-json\/wp\/v2\/posts\/768\/revisions\/769"}],"wp:attachment":[{"href":"http:\/\/mathfinance.sns.it\/index.php\/wp-json\/wp\/v2\/media?parent=768"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/mathfinance.sns.it\/index.php\/wp-json\/wp\/v2\/categories?post=768"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/mathfinance.sns.it\/index.php\/wp-json\/wp\/v2\/tags?post=768"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}