A Note on Shapleys Convex Measure Games

Fco. Javier Martinez de Albeniz Salas and Carlos Rafels Pallarola
Additional contact information
Carlos Rafels Pallarola: Universitat de Barcelona
Authors registered in the RePEc Author Service: Javier Martínez-de-Albéniz

No 91, Working Papers in Economics from Universitat de Barcelona. Espai de Recerca en Economia

Abstract: L. S. Shapley, in his paper Cores of Convex Games, introduces Convex Measure Games, those that are induced by a convex function on R, acting over a measure on the coalitions. But in a note he states that if this function is a function of several variables, then convexity for the function does not imply convexity of the game or even superadditivity. We prove that if the function is directionally convex, the game is convex, and conversely, any convex game can be induced by a directionally convex function acting over measures on the coalitions, with as many measures as players.

JEL-codes: C71 (search for similar items in EconPapers)
Pages: 18 pages
Date: 2002
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.ere.ub.es/dtreball/E0291.rdf/at_download/file
Our link check indicates that this URL is bad, the error code is: 500 Can't connect to www.ere.ub.es:80 (A connection attempt failed because the connected party did not properly respond after a period of time, or established connection failed because connected host has failed to respond.)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bar:bedcje:200291

Access Statistics for this paper

More papers in Working Papers in Economics from Universitat de Barcelona. Espai de Recerca en Economia Espai de Recerca en Economia, Facultat de Ciències Econòmiques. Tinent Coronel Valenzuela, Num 1-11 08034 Barcelona. Spain.. Contact information at EDIRC.
Bibliographic data for series maintained by Espai de Recerca en Economia ().