On Cournot-Nash-Walras Equilibria and Their Computation

0460895 - ÚTIA 2017 RIV NL eng J - Článek v odborném periodiku
Outrata, Jiří - Ferris, M.C. - Červinka, Michal - Outrata, M.
On Cournot-Nash-Walras Equilibria and Their Computation.
Set-Valued and Variational Analysis. Roč. 24, č. 3 (2016), s. 387-402. ISSN 1877-0533. E-ISSN 1877-0541
Grant CEP: GA ČR GAP402/12/1309; GA ČR GA15-00735S
Grant ostatní: GA UK(CZ) SFG 2567; Australian Research Council(AU) DP-110102011
Institucionální podpora: RVO:67985556
Klíčová slova: Cournot-Nash-Walras equilibrium * Existence * Stationarity conditions * Stability * MOPEC
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.886, rok: 2016
http://library.utia.cas.cz/separaty/2016/MTR/outrata-0460895.pdf

This paper concerns a model of Cournot-Nash-Walras (CNW) equilibrium where the Cournot-Nash concept is used to capture equilibrium of an oligopolistic market with non-cooperative players/firms who share a certain amount of a so-called rare resource needed for their production, and the Walras equilibrium determines the price of that rare resource. We prove the existence of CNW equilibria under reasonable conditions and exam- ine their local stability with respect to small perturbations of problem data. In this way we show the uniqueness of CNW equilibria under mild additional requirements. Finally, we suggest some efficient numerical approaches and compute several instances of an illustrative test example.
Trvalý link: http://hdl.handle.net/11104/0261532