Generalized Nash equilibrium problem based on malfatti's problem

Enkhbat Rentsen; Battur Gompil

doi:10.3934/naco.2020022

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2021, Volume 11, Issue 2: 209-220. Doi: 10.3934/naco.2020022

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Generalized Nash equilibrium problem based on malfatti's problem

Enkhbat Rentsen^1, and
Battur Gompil^2, ,

1.
Institute of Mathematics and Digital Technology, Academy of Sciences of Mongolia, Ulaanbaatar, Mongolia
2.
Center of Mathematics for Applications and Department of Applied Mathematics, National University of Mongolia, Ulaanbaatar, Mongolia

^* Corresponding author: Battur Gompil
^* Corresponding author: Battur Gompil

Received: July 31, 2019

Revised: November 30, 2019

Early access: March 2020

Published: June 2021

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Abstract

In this paper we consider non-cooperative game problem based on the Malfatti's problem. This problem is a special case of generalized Nash equilibrium problems with nonconvex shared constraints. Some numerical results are provided.

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Mathematics Subject Classification: Primary: 80M50; Secondary: 65K10.

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Figure 1. Stationary Nash equilibrium

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Figure 2. Case 1

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Figure 3. Case 2

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Figure 4. Case 1

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Figure 5. Case 2

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References

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