Bargaining with nonanonymous disagreement: Decomposable rules
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Date
2011
Authors
Kıbrıs, Özgür
Tapkı, İpek Gürsel
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science Bv
Abstract
We analyze bargaining situations where the agents' payoffs from disagreement depend on who among them breaks down the negotiations. We model such problems as a superset of the standard domain of Nash (1950). We first show that this domain extension creates a very large number of new rules. In particular, decomposable rules (which are extensions of rules from the Nash domain) constitute a nowhere dense subset of all possible rules. For them, we analyze the process through which "good" properties of rules on the Nash domain extend to ours. We then enquire whether the counterparts of some well-known results on the Nash (1950) domain continue to hold for decomposable rules on our extended domain. We first show that an extension of the Kalai-Smorodinsky bargaining rule uniquely satisfies the Kalai and Smorodinsky (1975) properties. This uniqueness result, however, turns out to be an exception. We characterize the uncountably large classes of decomposable rules that survive the Nash (1950), Kalai (1977), and Thomson (1981) properties. (C) 2011 Elsevier B.V. All rights reserved.
Description
Keywords
Point, Nash, Axioms, Model
Turkish CoHE Thesis Center URL
Citation
2
WoS Q
Q4
Scopus Q
Q2
Source
Volume
62
Issue
3
Start Page
151
End Page
161