The core of a class of non-atomic games which arise in economic applications

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dc.contributor.author Einy, Ezra
dc.contributor.author Moreno, Diego
dc.contributor.author Shitovitz, Benyamin
dc.contributor.editor Universidad Carlos III de Madrid. Departamento de Economía
dc.date.accessioned 2009-12-14T10:59:57Z
dc.date.available 2009-12-14T10:59:57Z
dc.date.issued 1997-02
dc.identifier.issn 2340-5031
dc.identifier.uri http://hdl.handle.net/10016/6024
dc.description.abstract We prove a representation theorem for the core of a non-atomic game of the form v = fOil, where Il is a finite dimensional vector of non-atomic measures and f is a non-decreasing continuous concave function on the range of Il. The theorem is stated in terms of the sub gradients of the function f. As a consequence of this theorem we show that the game v is balanced (i. e., has a non-empty core) iff the function f is homogeneous of degree one along the diagonal of the range of Il, and it is totally balanced (i.e., every subgame of v has a non-empty core) iff the function f is homogeneous of degree one in the entire range of Il. We also apply our results to some non-atomic games which occur in economic applications.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.relation.ispartofseries UC3M Working papers. Economics
dc.relation.ispartofseries 1997-35-13
dc.rights Atribución-NoComercial-SinDerivadas 3.0 España
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.other Non-atomic games
dc.subject.other Market games
dc.subject.other Core
dc.title The core of a class of non-atomic games which arise in economic applications
dc.type workingPaper
dc.subject.eciencia Economía
dc.rights.accessRights openAccess
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