Event-Triggered Consensus-Based Optimization Algorithm for Smooth and Strongly Convex Cost Functions

2018 ◽  
Author(s):  
Naoki Hayashi ◽  
Tomohiro Sugiura ◽  
Yuichi Kajiyama ◽  
Shigemasa Takai
Keyword(s):  
Optimization Algorithm ◽  
Cost Functions ◽  
Strongly Convex ◽  
Convex Cost ◽  
Event Triggered

Cournot Equilibrium Uniqueness: At 0 Discontinuous Industry Revenue and Decreasing Price Flexibility

2019 ◽  
Vol 21 (02) ◽  
pp. 1940010 ◽  
Author(s):  
Pierre Von Mouche ◽  
Takashi Sato
Keyword(s):  
Large Class ◽  
Cost Functions ◽  
Uniqueness Problem ◽  
Unique Equilibrium ◽  
Cournot Equilibrium ◽  
Price Function ◽  
Convex Cost ◽  
Equilibrium Uniqueness ◽  
Price Flexibility

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.

Sign in / Sign up

Export Citation Format

Share Document