Semi-Infinite Assignment Problems and Related Games
AbstractIn 1972 Shapley and Shubik introduced assignment games associated to finite assignment problems in which two types of agents were involved and they proved that these games have a non-empty core. In this paper we look at the situation where the set of one type is infinite and investigatewhen the core of the associated game is non-empty. Two infinite programming problems arise here, which we tackle with the aid of finite approximations. We prove that there is no duality gap and we show that the core of the corresponding game is non-empty. Finally, the existence of optimal assignments is discussed.
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Bibliographic InfoPaper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 1999-74.
Date of creation: 1999
Date of revision:
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Web page: http://center.uvt.nl
Infinite programs; assignment; cooperative games; balancedness;
This paper has been announced in the following NEP Reports:
- NEP-ALL-1999-10-04 (All new papers)
- NEP-GTH-1999-10-04 (Game Theory)
- NEP-IND-1999-10-04 (Industrial Organization)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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Cowles Foundation Discussion Papers
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