Pierre Cardaliaguet

Pierre Cardaliaguet is a Professor at Ceremade (UMR CNRS 7534), Paris-Dauphine University, where he conducts research in mathematical analysis with a focus on game theory and control systems. His work bridges theoretical mathematics with practical applications in economics, traffic modeling, and financial markets.

Research Interests:

• Optimal Control Theory - Developing theoretical frameworks for optimal decision-making in dynamic systems
• Differential Games - Analyzing strategic interactions between multiple decision-makers over time
• Mean Field Games - Studying large population games where individual behavior influences and is influenced by aggregate behavior
• Homogenization Theory - Investigating the behavior of materials with complex microstructures
• Hamilton-Jacobi Equations - Exploring the mathematical properties of these fundamental PDEs that arise in control and game theory

Recent Publication Trends: Cardaliaguet's recent work demonstrates a strong focus on Mean Field Games theory, with particular attention to the master equation, convergence problems, and connections to physical phenomena like aggregation and flocking. His research combines deep theoretical analysis with practical applications in traffic flow modeling and financial markets. The publications reveal sophisticated mathematical techniques involving viscosity solutions, weak KAM theory, and stochastic homogenization applied to increasingly complex game-theoretic settings.

Teaching Activities:

• Course on Stochastic Control
• Course on Mean Field Games
• Traffic models on a Junction: From Micro to Macro
• Optimization and Dynamic Programming
• Functional Analysis and PDEs