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Densely defined equilibrium problems
- Publication Year :
- 2014
- Publisher :
- arXiv, 2014.
-
Abstract
- In the present work we deal with set-valued equilibrium problems for which we provide sufficient conditions for the existence of a solution. The conditions that we consider are imposed not on the whole domain, but rather on a self segment-dense subset of it, a special type of dense subset. As an application, we obtain a generalized Debreu-Gale-Nikaido-type theorem, with a considerably weakened Walras law in its hypothesis. Further, we consider a non-cooperative n-person game and prove the existence of a Nash equilibrium, under assumptions that are less restrictive than the classical ones.<br />Comment: 21 pages
- Subjects :
- Correlated equilibrium
Sequential equilibrium
Computer Science::Computer Science and Game Theory
Control and Optimization
Dense set
Applied Mathematics
Symmetric equilibrium
47H04, 47H05, 26B25, 26E25, 90C33
Management Science and Operations Research
Functional Analysis (math.FA)
Mathematics - Functional Analysis
symbols.namesake
Walras' law
Nash equilibrium
symbols
FOS: Mathematics
Epsilon-equilibrium
Solution concept
Mathematical economics
Mathematics
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....0ec29a18d0805c747271a7e93ecc0ffe
- Full Text :
- https://doi.org/10.48550/arxiv.1405.2327