Algebraic duality theorems for infinite LP problems


Autoria(s): Pintér, Miklós
Data(s)

01/02/2011

Resumo

In this paper we consider a primal-dual infinite linear programming problem-pair, i.e. LPs on infinite dimensional spaces with infinitely many constraints. We present two duality theorems for the problem-pair: a weak and a strong duality theorem. We do not assume any topology on the vector spaces, therefore our results are algebraic duality theorems. As an application, we consider transferable utility cooperative games with arbitrarily many players.

Formato

application/pdf

Identificador

http://unipub.lib.uni-corvinus.hu/574/1/LAAPinter2010.pdf

Pintér, Miklós (2011) Algebraic duality theorems for infinite LP problems. Linear algebra and its applications, 434 (3). pp. 688-693. DOI 10.1016/j.laa.2010.09.007 <http://dx.doi.org/10.1016/j.laa.2010.09.007>

Publicador

Elsevier

Relação

http://unipub.lib.uni-corvinus.hu/574/

http://www.sciencedirect.com/science/article/pii/S0024379510004702

10.1016/j.laa.2010.09.007

Palavras-Chave #Mathematics, Econometrics
Tipo

Article

PeerReviewed

Idioma(s)

en

en