Equilibria and strict equilibria of multivalued maps on noninvariant sets

• Autorzy: Pierre Cardaliaguet , Grzegorz Gabor , Marc Quincampoix
• Języki publikacji: EN

Abstrakty

EN

This paper is concerned with existence of equilibrium of a set-valued map in a given compact subset of a finite-dimensional space. Previously known conditions ensuring existence of equilibrium imply that the set is either invariant or viable for the differential inclusion generated by the set-valued map. We obtain some equilibrium existence results with conditions which imply neither invariance nor viability of the given set. The problem of existence of strict equilibria is also discussed.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2003
• Tom: 82
• Numer: 1
• Strony: 19-37

Daty

wydano

2003

Twórcy

autor

Pierre Cardaliaguet

• Laboratoire de Mathématiques, Université de Bretagne Occidentale, 6, avenue Victor Le Gorgeu B.P. 809, 29285 Brest Cedex, France

autor

Grzegorz Gabor

• Laboratoire de Mathématiques, Université de Bretagne Occidentale, 6, avenue Victor Le Gorgeu B.P. 809, 29285 Brest Cedex, France
• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

autor

Marc Quincampoix

• Laboratoire de Mathématiques, Université de Bretagne Occidentale, 6, avenue Victor Le Gorgeu B.P. 809, 29285 Brest Cedex, France

Identyfikatory

DOI

10.4064/ap82-1-3