Axiomatic characterizations of the weighted solidarity values |
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| Affiliation: | 1. Department of Economic Analysis and ERI-CES, Universitat de Valencia, Spain;2. Departamento de Economía Aplicada IV, Universidad del País Vasco U.P.V./E.H.U., Spain;1. School of Mathematics and Statistics, The University of New South Wales, New South Wales 2052, Australia;2. Research Department, Phillip Island Nature Parks, P.O. Box 97, Cowes, Phillip Island, Victoria 3922, Australia;3. Department of Mathematics and Statistics, The University of Melbourne, Victoria 3010, Australia;1. European University at St. Petersburg. 3 Gagarinskaya st., St. Petersburg, 191187, Russia;2. St. Petersburg Institute for Economics and Mathematics RAS. 1 Chaikovskogo st., St. Petersburg, 191187, Russia;3. St. Petersburg State University. 62 Chaikovskogo st., St. Petersburg, 191123, Russia;1. Department of Economics and Finance, Montclair State University, Montclair, NJ 07043, United States;2. Department of Economics, Cornell University, Ithaca, NY 14853, United States;1. College of Science, Hunan Agricultural University, Changsha, Hunan 410128, China;2. College of Orient Science and Technology, Hunan Agricultural University, Changsha, Hunan 410128, China |
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| Abstract: | We define and characterize the class of all weighted solidarity values. Our first characterization employs the classical axioms determining the solidarity value (except symmetry), that is, efficiency, additivity and the A-null player axiom, and two new axioms called proportionality and strong individual rationality. In our second axiomatization, the additivity and the A-null player axioms are replaced by a new axiom called average marginality. |
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