Asymmetric rules for claims problems without homogeneity |
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| Institution: | 1. Queensland Geothermal Energy Centre of Excellence, University of Queensland, Brisbane, QLD 4072, Australia;2. School of ITEE, University of Queensland, Brisbane, QLD 4072, Australia;1. Business School, Sichuan University, Chengdu 610064, PR China;2. Decision Sciences Department, LeBow College of Business, Drexel University, Philadelphia, PA 19104, USA;3. International Business School, Shaanxi Normal University, Xi’an 710062, PR China;4. State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610064, PR China;5. Sichuan Institute of Building Research, Chengdu 610064, PR China;1. Dipartimento di Informatica, Università di Pisa, Italy;2. Dipartimento di Statistica, Informatica, Applicazioni, Università di Firenze, Italy;1. School of Computer Science and Electronic Engineering, University of Essex, United Kingdom of Great Britain and Northern Ireland;2. Department of Computer Science, University of Oxford, United Kingdom of Great Britain and Northern Ireland |
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| Abstract: | We introduce a general class of rules for claims problems, called the difference rules, and demonstrate that a rule satisfies composition down and composition up if and only if it is a difference rule. We show that these rules are very simple to describe when there are two agents. In a variable population framework, we introduce a family of rules satisfying consistency, composition down, and composition up, which we term the logarithmic-proportional rules. These rules satisfy neither symmetry nor homogeneity. |
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