Egalitarianism in ordinal bargaining: the Shapley-Shubik rule

• 成果类型: Article
• 署名作者: Kibris, Ö
• 署名单位: Sabanci University
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2003.12.002
• 发表日期: 2004
• 页码: 157-170
• 关键词: bargaining rules; Shapley-Shubik rule; ordinal invariance; MONOTONICITY; ordinally normalized problems; brace

摘要

A bargaining rule is ordinally invariant if its solutions are independent of which utility functions are chosen to represent the agents' preferences. For two agents, only dictatorial bargaining rules satisfy this property (Shapley, L., La Decision: Agregation et Dynamique des Ordres de Preference, Editions du CNRS (1969) 25 1). For three agents, we construct a normalized subclass of problems through which an infinite variety of such rules can be defined. We then analyze the implications of various properties on these rules. We show that a class of monotone path rules uniquely satisfy ordinal invariance, Pareto optimality, and monotonicity and that the Shapley-Shubik rule is the only symmetric member of this class. We also show that the only ordinal rules to satisfy a stronger monotonicity property are the dictatorial ones. (C) 2004 Elsevier Inc. All rights reserved.