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2014

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/68503

Cooperative games with size-truncated information

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Abstract

We study the marginal worth vectors and their convex hull, the so-called Weber set, from the original coalitional game and the transformed one, which is called the Weber set of level k. We prove that the core of the original game is included in each of the Weber set of level k, for any k, and that the Weber sets of consecutive levels form a chain if and only if the original game is 0-monotone. Even if the game is not 0-monotone, the intersection of the Weber sets for consecutive levels is always not empty, what is not the case for nonconsecutive ones.

Subject

Jocs cooperatius (Matemàtica), Anàlisi cost-benefici, Anàlisi vectorial, Càlcul de variacions

Subject (English)

Cooperative games (Mathematics), Cost effectiveness, Vector analysis, Calculus of variations

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Articles publicats en revistes (Matemàtica Econòmica, Financera i Actuarial)

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MARTÍNEZ DE ALBÉNIZ, F. Javier. Cooperative games with size-truncated information. Economics Bulletin . 2014. Vol. 34, num. 1, pags. 188-199. ISSN 1545-2921. [consulted: 17 of August of 2026]. Available at: https://hdl.handle.net/2445/68503

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