A double-integrator system for distributed optimization of convex cost functions

Author(s):  
Ngoc-Tu Tran ◽  
Xuan Feng ◽  
Wen-Yuan Xu ◽  
Na Zhan ◽  
Xi Wang
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):  

Author(s):  
Zicong Xia ◽  
Yang Liu ◽  
Jianquan Lu ◽  
Jianlong Qiu ◽  
Jinde Cao

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

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