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Dynamic Noncooperative Game Theory
Tamer Basar,Geert Jan Olsder +1 more
- 01 Jan 1982
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TL;DR: In this paper, the authors present a general formulation of non-cooperative finite games: N-Person nonzero-sum games, Pursuit-Evasion games, and Stackelberg Equilibria of infinite dynamic games.
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Abstract: Preface to the classics edition Preface to the second edition 1. Introduction and motivation Part I: 2. Noncooperative Finite Games: two-person zero-aum 3. Noncooperative finite games: N-Person nonzero-sum 4. Static noncooperative Infinite Games Part II: 5. General Formulation of Infinite Dynamic Games 6. Nash and Saddle-Point Equilibria of Infinite Dynamic Games 7. Stackelberg Equilibria of Infinite Dynamic Games 8. Pursuit-Evasion Games Appendix A: Mathematical Review Appendix B: Some notions of probability theory Appendix C: Fixed point theorems Bibliography Table: Corollaries, Definitions, Examples, Lemmas, Propositions, remarks and theorems Index.
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Citations
Multirobot coordination in pick-and-place tasks on a moving conveyor
H. Isil Bozma,M. E. Kalalıoğlu +1 more
TL;DR: In this article, the problem of multi-robot coordination in pick-and-place tasks on a conveyor band is considered, and an approach based on non-cooperative game theory is proposed.
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A game-theoretic framework for autonomous vehicles velocity control: Bridging microscopic differential games and macroscopic mean field games
TL;DR: This paper proposes an efficient computational framework for longitudinal velocity control of a large number of autonomous vehicles (AVs) and develops a traffic flow theory for AVs and offers a systematic framework to apply MFG to autonomous vehicle velocity control.
56
Single-Timescale Distributed GNE Seeking for Aggregative Games Over Networks via Forward–Backward Operator Splitting
Dian Gadjov,Lacra Pavel +1 more
TL;DR: In this paper, a single-layer distributed algorithm was proposed to reach a variational generalized Nash equilibrium, under constant step sizes, by leveraging an invariance property of the aggregate estimates and relying on a forward-backward splitting for two preconditioned operators.
55
Distributed coordination of spectrum and the prisoner~s dilemma
A. Laufer,Amir Leshem +1 more
- 05 Dec 2005
TL;DR: This paper analyzes the well known iterative water-filling strategy for a simplified two players interference game, and provides closed form analysis of the cases in which the IWF is suboptimal; proposes some alternative distributed coordination algorithm and shows its superiority over IWF for real wireline access network.
A dimension-reduction solution of free-time differential games for spacecraft pursuit-evasion
TL;DR: In this article, a dimension reduction method for solving the free-time pursuit-evasion game between two spacecraft near circular orbits is presented. But the problem of finding the saddle-point solution of the game results in solving a high-dimensional (twenty-four in our case) two-point boundary value problem, which is quite difficult and computationally intensive.
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