Continuity properties of the Nash equilibrium correspondence in a discontinuous setting
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.01.021
Abstract: Abstract We introduce a new complete metric space of discontinuous normal form games and prove that the Nash equilibrium correspondence is upper semicontinuous with non-empty and compact values. So, using the Theorem of Fort (1949),… read more here.
Keywords: equilibrium correspondence; continuity properties; properties nash; correspondence ... See more keywords
Continuity properties of weakly monotone Orlicz–Sobolev functions
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Calculus of Variations"
DOI: 10.1515/acv-2017-0065
Abstract: Abstract The notion of weakly monotone functions extends the classical definition of monotone function, that can be traced back to Lebesgue. It was introduced, in the framework of Sobolev spaces, by Manfredi, in connection with… read more here.
Keywords: weakly monotone; continuity properties; monotone; continuity ... See more keywords
Continuity Properties of Discontinuous Homomorphisms and Refinements of Group Topologies
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DOI: 10.2298/fil1707183b
Abstract: We present several conditions on topological groups $G$ and $H$ under which \emph{every} discontinuous homomorphism of $G$ to $H$ preserves accumulation points of open sets in $G$. It is also proved that every (locally) precompact… read more here.
Keywords: discontinuous homomorphisms; continuity properties; group; refinements group ... See more keywords