Egalitarianism in ordinal bargaining: the Shapley-Shubik rule

Warning The system is temporarily closed to updates for reporting purpose.

Kıbrıs, Özgür (2004) Egalitarianism in ordinal bargaining: the Shapley-Shubik rule. Games and Economic Behavior, 49 (1). pp. 157-170. ISSN 0899-8256

[thumbnail of 3011800001092.pdf] PDF
3011800001092.pdf
Restricted to Repository staff only

Download (213kB) | Request a copy

Abstract

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 Décision: Agrégation et Dynamique des Ordres de Préférence, Editions du CNRS (1969) 251). 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.
Item Type: Article
Uncontrolled Keywords: bargaining rules; Shapley-Shubik rule; ordinal invariance; monotonicity; ordinally normalized problems; brace
Subjects: H Social Sciences > H Social Sciences (General)
Divisions: Faculty of Arts and Social Sciences
Depositing User: Özgür Kıbrıs
Date Deposited: 18 Feb 2007 02:00
Last Modified: 26 Apr 2022 08:06
URI: https://research.sabanciuniv.edu/id/eprint/359

Actions (login required)

View Item
View Item