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Generalized Nash equilibrium problem based on Malfatti's problem

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Publication:2061338
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DOI10.3934/naco.2020022zbMath1480.91010OpenAlexW3013892813MaRDI QIDQ2061338

Battur Gompil, Rentsen Enkhbat

Publication date: 13 December 2021

Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/naco.2020022


zbMATH Keywords

generalized Nash equilibrium problemMalfatti's problemnon-zero sum game


Mathematics Subject Classification ID

Noncooperative games (91A10) Circle packings and discrete conformal geometry (52C26) Equilibrium refinements (91A11)




Cites Work

  • Global optimization approach to Malfatti's problem
  • Solving Malfatti's high dimensional problem by global optimization
  • The problem of Malfatti: Two centuries of debate
  • Restricted generalized Nash equilibria and controlled penalty algorithm
  • Gap function approach to the generalized Nash equilibrium problem
  • Relaxation methods for generalized Nash equilibrium problems with inexact line search
  • An algorithm for maximizing a convex function over a simple set
  • Spatial Oligopolistic Electricity Models with Cournot Generators and Regulated Transmission Prices
  • On the Original Malfatti Problem
  • A Social Equilibrium Existence Theorem*
  • Generalized Nash equilibrium problems
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