Equilibria and strict equilibria of multivalued maps on noninvariant sets

Pierre Cardaliaguet, Grzegorz Gabor, and Marc Quincampoix. "Equilibria and strict equilibria of multivalued maps on noninvariant sets." Annales Polonici Mathematici 82.1 (2003): 19-37. <http://eudml.org/doc/280622>.

@article{PierreCardaliaguet2003,
abstract = {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.},
author = {Pierre Cardaliaguet, Grzegorz Gabor, Marc Quincampoix},
journal = {Annales Polonici Mathematici},
keywords = {equilibrium; strict equilibrium; viability; differential inclusion; multivalued map; Lipschitz selection},
language = {eng},
number = {1},
pages = {19-37},
title = {Equilibria and strict equilibria of multivalued maps on noninvariant sets},
url = {http://eudml.org/doc/280622},
volume = {82},
year = {2003},
}

TY - JOUR
AU - Pierre Cardaliaguet
AU - Grzegorz Gabor
AU - Marc Quincampoix
TI - Equilibria and strict equilibria of multivalued maps on noninvariant sets
JO - Annales Polonici Mathematici
PY - 2003
VL - 82
IS - 1
SP - 19
EP - 37
AB - 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.
LA - eng
KW - equilibrium; strict equilibrium; viability; differential inclusion; multivalued map; Lipschitz selection
UR - http://eudml.org/doc/280622
ER -