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A note on existence of mixed solutions to equilibrium problems with equilibrium constraints

SYSNO ASEP	0087643
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Ostatní články
Title	A note on existence of mixed solutions to equilibrium problems with equilibrium constraints
Title	O existenci smíšených strategií v ekvilibriálních úlohách s ekvilibriálními omezeními
Author(s)	Červinka, Michal (UTIA-B)_{RID, ORCID}
Source Title	Bulletin of the Czech Econometric Society - ISSN 1212-074X Roč. 2007, č. 24 (2007), s. 27-44
Number of pages	17 s.
Language	eng - English
Country	CZ - Czech Republic
Keywords	equilibrium problems with equilibrium constraints ; variational analysis ; mixed strategy
Subject RIV	BA - General Mathematics
R&D Projects	IAA1030405 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z10750506 - UTIA-B (2005-2011)
Annotation	A generalization of classical Stackelberg game concept leads to a new class of equilibrium games with hierarchical structure. The existence of equilibria in this class of problems is complicated due to the lack of convexity of the problem. Therefore, under the implicit programming approach, we apply the well-known existence result for solution in mixed strategies for (one-level) Nash equilibrium games. Further, we discuss the use of these results for the case when a solution map of the lower-level problem is multivalued.
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Year of Publishing	2008

Number of the records: 1