Existence and comparison results for fixed points of multifunctions with applications to normal-form games

DOI10.1016/j.jmaa.2006.10.024zbMath1119.47053OpenAlexW2037231635MaRDI QIDQ882013

Seppo Heikkilä

Publication date: 23 May 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.10.024

zbMATH Keywords

fixed pointmultifunctionsNash equilibriumnormal-form gamegeneralized iteration methods

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) (n)-person games, (n>2) (91A06) Fixed-point theorems (47H10)

Cites Work

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• On extremal pure Nash equilibria for mixed extensions of normal-form games
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• Chain-complete posets and directed sets with applications
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• Borel measurability of separately continuous functions
• Fixed point theorems and their applications to theory of Nash equilibria
• A lattice-theoretical fixpoint theorem and its applications
• A characterization of complete lattices
• A Theorem on Partially Ordered Sets, With Applications to Fixed Point Theorems
• Equilibrium Points in Nonzero-Sum n-Person Submodular Games
• Monotone Comparative Statics
• Real Analysis and Probability
• Semilattice structure of fixed point set for increasing operators
• Fixed Points of Order Preserving Multifunctions

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