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Descrição Detalhada da Publicação
Título Revista
Annals of Operations Research
Ano (publicação definitiva)
2021
Língua
Inglês
País
Países Baixos (Holanda)
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Abstract/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.
Agradecimentos/Acknowledgements
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Palavras-chave
Axiomatic bargaining,Proportional solution,Continuity axiom
Classificação Fields of Science and Technology
- Matemáticas - Ciências Naturais