Monotonicity Problems of Interval Solutions and the Dutta-Ray Solution for Convex Interval Games

E. Yanovskaya, R. Brânzei and S.H. Tijs
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S.H. Tijs: Tilburg University, Center for Economic Research

No 2008-102, Discussion Paper from Tilburg University, Center for Economic Research

Abstract: This paper examines several monotonicity properties of value-type interval solutions on the class of convex interval games and focuses on the Dutta-Ray (DR) solution for such games. Well known properties for the classical DR solution are extended to the interval setting. In particular, it is proved that the interval DR solution of a convex interval game belongs to the interval core of that game and Lorenz dominates each other interval core element. Consistency properties of the interval DR solution in the sense of Davis-Maschler and of Hart-Mas-Colell are verified. An axiomatic characterization of the interval DR solution on the class of convex interval games with the help of bilateral Hart-Mas-Colell consistency and the constrained egalitarianism for two-person interval games is given.

JEL-codes: C71 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-gth
Date: 2008
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Persistent link: http://EconPapers.repec.org/RePEc:dgr:kubcen:2008102

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