Leader-Follower and Nash Strategies with State Information.

Abstract

This thesis deals with Leader-Follower and Nash differential games with state information. The main topics considered are the following: conditions for existence of closed-loop Nash strategies in linear quadratic differential games; necessary conditions for Leader-Follower differential games where the leader has current state information; sufficient conditions for Leader-Follower and Nash differential games with memory; conditions for existence, uniqueness as well as methods for finding the solution for some classes of stochastic Nash games. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1979
Accession Number
ADA085077

Entities

People

  • G. P. Papavassilopoulos

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Analytic Functions
  • Banach Space
  • Closed Loop Systems
  • Difference Equations
  • Differential Equations
  • Eigenvalues
  • Engineering
  • Equations
  • Equations Of State
  • Illinois
  • Integral Equations
  • Linear Differential Equations
  • Partial Differential Equations
  • Random Variables
  • Riccati Equation
  • Time Intervals

Readers

  • Game Theory.
  • Mathematical Modeling and Probability Theory.