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Non-monotone Quadratic Potential Games with single Quadratic constraints

Abstract: 

We consider the problem of solving a quadratic potential game with single quadratic constraints, under no monotonicity condition of the game, nor convexity in any of the player's problem. We show existence of Nash equilibria (NE) in the game, and propose a framework to calculate Pareto efficient solutions. Regarding the corresponding non-convex potential function, we show that strong duality holds with its corresponding dual problem, give existence results of solutions and present conditions for global optimality. Finally, we propose a centralized method to solve the potential problem, and a distributed version for compact constraints. We also present simulations showing convergence behavior of the proposed distributed algorithm.

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Paper Details

Authors:
Santiago Zazo, Sergio Valcarcel Macua
Submitted On:
29 March 2016 - 9:57am
Short Link:
Type:
Poster
Event:
Presenter's Name:
Javier Zazo
Document Year:
2016
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quadratic_poster.pdf

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[1] Santiago Zazo, Sergio Valcarcel Macua, "Non-monotone Quadratic Potential Games with single Quadratic constraints", IEEE SigPort, 2016. [Online]. Available: http://sigport.org/632. Accessed: Jul. 21, 2019.
@article{632-16,
url = {http://sigport.org/632},
author = {Santiago Zazo; Sergio Valcarcel Macua },
publisher = {IEEE SigPort},
title = {Non-monotone Quadratic Potential Games with single Quadratic constraints},
year = {2016} }
TY - EJOUR
T1 - Non-monotone Quadratic Potential Games with single Quadratic constraints
AU - Santiago Zazo; Sergio Valcarcel Macua
PY - 2016
PB - IEEE SigPort
UR - http://sigport.org/632
ER -
Santiago Zazo, Sergio Valcarcel Macua. (2016). Non-monotone Quadratic Potential Games with single Quadratic constraints. IEEE SigPort. http://sigport.org/632
Santiago Zazo, Sergio Valcarcel Macua, 2016. Non-monotone Quadratic Potential Games with single Quadratic constraints. Available at: http://sigport.org/632.
Santiago Zazo, Sergio Valcarcel Macua. (2016). "Non-monotone Quadratic Potential Games with single Quadratic constraints." Web.
1. Santiago Zazo, Sergio Valcarcel Macua. Non-monotone Quadratic Potential Games with single Quadratic constraints [Internet]. IEEE SigPort; 2016. Available from : http://sigport.org/632