Advances in Dynamic and Mean Field Games: Theory, Applications, and Numerical Methods

✍ Scribed by Joseph Apaloo,Bruno Viscolani (eds.)

• Publisher: Birkhäuser Basel
• Year: 2017
• Tongue: English
• Leaves: 368
• Series: Annals of the International Society of Dynamic Games 15
• Edition: 1
• Category: Library

✦ Synopsis

This contributed volume considers recent advances in dynamic games and their applications, based on presentations given at the 17th Symposium of the International Society of Dynamic Games, held July 12-15, 2016, in Urbino, Italy. Written by experts in their respective disciplines, these papers cover various aspects of dynamic game theory including mean-field games, stochastic and pursuit-evasion games, and computational methods for dynamic games. Topics covered include

• Pedestrian flow in crowded environments
  
• Models for climate change negotiations
  
• Nash Equilibria for dynamic games involving Volterra integral equations
  
• Differential games in healthcare markets
  
• Linear-quadratic Gaussian dynamic games
  
• Aircraft control in wind shear conditions
  

Advances in Dynamic and Mean-Field Games presents state-of-the-art research in a wide spectrum of areas. As such, it serves as a testament to the continued vitality and growth of the field of dynamic games and their applications. It will be of interest to an interdisciplinary audience of researchers, practitioners, and graduate students.

✦ Table of Contents

Front Matter ....Pages i-xix
Front Matter ....Pages 1-1
Non-memoryless Pedestrian Flow in a Crowded Environment with Target Sets (Fabio Bagagiolo, Raffaele Pesenti)....Pages 3-25
Limit Game Models for Climate Change Negotiations (Olivier Bahn, Alain Haurie, Roland Malhamé)....Pages 27-47
A Segregation Problem in Multi-Population Mean Field Games (Pierre Cardaliaguet, Alessio Porretta, Daniela Tonon)....Pages 49-70
Evolutionary Game of Coalition Building Under External Pressure (Alekos Cecchin, Vassili N. Kolokoltsov)....Pages 71-106
The Execution Problem in Finance with Major and Minor Traders: A Mean Field Game Formulation (Dena Firoozi, Peter E. Caines)....Pages 107-130
Mean Field Limits Through Local Interactions (Suhail M. Shah, Vivek S. Borkar)....Pages 131-141
Front Matter ....Pages 143-143
Differential Games in Health-Care Markets: Models of Quality Competition with Fixed Prices (Kurt R. Brekke, Roberto Cellini, Luigi Siciliani, Odd Rune Straume)....Pages 145-167
Open-Loop Nash Equilibria for Dynamic Games Involving Volterra Integral Equations (Dean A. Carlson)....Pages 169-197
A Discrete Model of Conformance Quality and Advertising in Supply Chains (Pietro De Giovanni, Fabio Tramontana)....Pages 199-216
Sexual Reproduction as Bet-Hedging (Xiang-Yi Li, Jussi Lehtonen, Hanna Kokko)....Pages 217-234
Front Matter ....Pages 235-235
On Exact Construction of Solvability Set for Differential Games with Simple Motion and Non-convex Terminal Set (Liudmila Kamneva, Valerii Patsko)....Pages 237-258
Effects of Players’ Random Participation to the Stability in LQ Games (Ioannis Kordonis, George P. Papavassilopoulos)....Pages 259-278
Interval Computing of the Viability Kernel with Application to Robotic Collision Avoidance (Stéphane Le Ménec)....Pages 279-299
On Linear-Quadratic Gaussian Dynamic Games (Meir Pachter)....Pages 301-322
Front Matter ....Pages 323-323
Viability Approach to Aircraft Control in Wind Shear Conditions (Nikolai Botkin, Johannes Diepolder, Varvara Turova, Matthias Bittner, Florian Holzapfel)....Pages 325-343
Modeling Autoregulation of Cerebral Blood Flow Using Viability Approach (Varvara Turova, Nikolai Botkin, Ana Alves-Pinto, Tobias Blumenstein, Esther Rieger-Fackeldey, Renée Lampe)....Pages 345-363

✦ Subjects

Game Theory, Economics, Social and Behav. Sciences