Proportional bargaining solutions, strictly comprehensive sets and the axiom of continuity

Utilize este identificador para referenciar este registo: http://hdl.handle.net/10071/20422

Autoria:	Carvalho, L.
Data:	2021
Título próprio:	Proportional bargaining solutions, strictly comprehensive sets and the axiom of continuity
Volume:	301
Paginação:	41 - 53
ISSN:	0254-5330
DOI (Digital Object Identifier):	10.1007/s10479-020-03595-8
Palavras-chave:	Axiomatic bargaining Proportional solution Continuity axiom
Resumo:	Continuity is an axiom of Kalai (Econometrica 45(7):1623–1630, 1977)’s and Roth (Econometrica 47(3):775–777, 1979b)’s characterizations of the proportional bargaining. In this paper we establish that, in the class of strictly comprehensive sets, continuity is a corollary of the other axioms. Consequently the proportional solution can be axiomatically defined in the class of strictly comprehensive sets without the axiom of continuity. We also show it is possible to tighten Kalai (1977)’s and Roth (1979b)’s axiomatization of the proportional bargaining solution, assuming a weaker version of the axiom of continuity.
Arbitragem científica:	yes
Acesso:	Acesso Aberto
Aparece nas coleções:	BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica

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