Noncooperative Dynamic Games with a Large Population of Players

Abstract

This proposal addresses a number of fundamental problems that arise in connection with non cooperative nonzero sum dynamic and differential games with asymmetric information across possibly a heterogeneous group of players (agents) and with possibly multiple layers in decision making. The focus is on stochastic games with a large population of players, and study of the relationship between such games and corresponding ones with an infinite population, particularly mean field games. Issues of paramount importance in this context, which will be addressed in the proposed three year program, are related to: the role of dynamic information acquired by the players over noisy channels with possible bandwidth limitations; leakage and adversarial intervention; robustness to unmodeled elements of the game; control by upper layers the behavior that would emerge from actions of infinitesimal (but high population of) players; the role of network topologies that govern the interactions among players through neighborhood associations; and limited sharing of structural information among the players and misalignment in players’ beliefs and perceptions.

Document Details

Document Type
DoD Grant Award
Publication Date
Jan 14, 2022
Source ID
FA95501910353

Entities

People

  • Tamer Başar

Organizations

  • Air Force Office of Scientific Research
  • United States Air Force
  • University of Illinois Urbana–Champaign

Tags

Readers

  • Game Theory.
  • Systems Analysis and Design