𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Some existence theorems of Nash and Berge Equilibria

✍ Scribed by K.Y Abalo; M.M Kostreva

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
246 KB
Volume
17
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

Existence theorems of Nash and Berge equilibria are intoduced and proved. Radjef's results have been extended. The concepts of S-system and (S,R,M)-system as defined earlier are employed to prove the existence of Berge equilibria.

πŸ“œ SIMILAR VOLUMES

Fixed point theorems and their applicati
Fixed point theorems and their applications to theory of Nash equilibria
✍ S. HeikkilΓ€; K. Reffett πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 235 KB

In this paper we prove fixed point theorems for set-valued mappings in products of posets. Applications to the theory of Nash equilibria are presented.

Existence of additional unstable equilib
Existence of additional unstable equilibria for some monostable systems
✍ E.C.M. Crooks πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 342 KB

We prove the existence of additional unstable equilibria E Β± for a class of "monostable" reaction-diffusion systems having known equilibria S < T with S "stable" and T "unstable" such that the derivative d f [T ] has an even number of unstable eigenvalues. The proofs use positive-operator theory an