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Reference functions and solutions to bargaining problems with and without claims


Gerber, Anke (2005). Reference functions and solutions to bargaining problems with and without claims. Social Choice and Welfare, 24(3):527-541.

Abstract

Following an idea due to Thomson (Journal of Economic Theory, 1981, 25: 431-441) we examine the role of reference functions in the axiomatic approach to the solution of bargaining problems with and without claims. A reference function is a means of summarizing essential features of a bargaining problem. Axioms like Independence of Irrelevant Alternatives and Monotonicity are then reformulated with respect to this reference function. Under some weak conditions on the reference function we obtain characterizations of different parametrized classes of solutions. We present several examples of reference functions and thereby recover many well-known solutions to bargaining problems with and without claims

Abstract

Following an idea due to Thomson (Journal of Economic Theory, 1981, 25: 431-441) we examine the role of reference functions in the axiomatic approach to the solution of bargaining problems with and without claims. A reference function is a means of summarizing essential features of a bargaining problem. Axioms like Independence of Irrelevant Alternatives and Monotonicity are then reformulated with respect to this reference function. Under some weak conditions on the reference function we obtain characterizations of different parametrized classes of solutions. We present several examples of reference functions and thereby recover many well-known solutions to bargaining problems with and without claims

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Additional indexing

Item Type:Journal Article, not_refereed, original work
Communities & Collections:National licences > 142-005
Dewey Decimal Classification:Unspecified
Scopus Subject Areas:Social Sciences & Humanities > Social Sciences (miscellaneous)
Social Sciences & Humanities > Economics and Econometrics
Language:English
Date:1 June 2005
Deposited On:04 Jul 2019 11:07
Last Modified:15 Apr 2021 14:54
Publisher:Springer
ISSN:0176-1714
OA Status:Green
Publisher DOI:https://doi.org/10.1007/s00355-004-0315-5

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