scholarly journals Passivity-based generalization of primal–dual dynamics for non-strictly convex cost functions

Automatica ◽  
2020 ◽  
Vol 112 ◽  
pp. 108712 ◽  
Author(s):  
Shunya Yamashita ◽  
Takeshi Hatanaka ◽  
Junya Yamauchi ◽  
Masayuki Fujita
2019 ◽  
Vol 21 (02) ◽  
pp. 1940010 ◽  
Author(s):  
Pierre Von Mouche ◽  
Takashi Sato

We consider the equilibrium uniqueness problem for a large class of Cournot oligopolies with convex cost functions and a proper price function [Formula: see text] with decreasing price flexibility. This class allows for (at [Formula: see text]) discontinuous industry revenue and in particular for [Formula: see text]. The paper illustrates in an exemplary way the Selten–Szidarovszky technique based on virtual backward reply functions. An algorithm for the calculation of the unique equilibrium is provided.


2003 ◽  
Vol 292 (1) ◽  
pp. 145-164 ◽  
Author(s):  
Philippe Chrétienne ◽  
Francis Sourd
Keyword(s):  

1994 ◽  
Vol 42 (8) ◽  
pp. 1952-1960 ◽  
Author(s):  
S. Vembu ◽  
S. Verdu ◽  
R.A. Kennedy ◽  
W. Sethares

2020 ◽  
Vol 86 ◽  
pp. 105951
Author(s):  
Behrooz Ghasemishabankareh ◽  
Xiaodong Li ◽  
Melih Ozlen ◽  
Frank Neumann

2017 ◽  
Vol 77 (5) ◽  
pp. 1733-1755 ◽  
Author(s):  
Michael V. Klibanov ◽  
Aleksandr E. Kolesov ◽  
Lam Nguyen ◽  
Anders Sullivan

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