Hadamard well-posedness in population games
Fixed Point Methods and Optimization, Volume 2, Issue 2, August 2025, Pages 110–116
JING ZENG
School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, China
LI ZHOU
School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, China
ZAI-YUN PENG
College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, 400074, China
MINH N. DAO
School of Science, RMIT University, Melbourne, VIC 3000, Australia
Abstract
The collection of model data, often troubled by problems like sample selection bias and measurement errors, presents major challenges to the stability and reliability of Nash equilibrium solutions in population games. This study addresses the pervasive challenge of data collection bias in population game theory by introducing Hadamard well-posedness theory into population game models. It delves into the Hadamard well-posedness of Nash equilibrium solutions in population game problems, establishing sufficient conditions for the Hadamard well-posedness of these solutions. Furthermore, it reveals the connection between Hadamard well-posedness and the continuity of solution mappings, providing a practical theoretical tool for the stability analysis and algorithm design of Nash equilibrium solutions in population games.
Cite this Article as
Jing Zeng, Li Zhou, Zai-Yun Peng and Minh N. Dao, Hadamard well-posedness in population games, Fixed Point Methods and Optimization, 2(2), 110–116, 2025