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Guaranteed Strategies For Nonlinear Multi-Player Pursuit-Evasion Games

Author

Listed:
  • DUŠAN M. STIPANOVIĆ

    (Department of Industrial and Enterprise Systems, Engineering and the Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA)

  • ARIK MELIKYAN
  • NAIRA HOVAKIMYAN

    (Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA)

Abstract

In this paper, we provide a methodology to design strategies for either guaranteed capture or guaranteed evasion in the case of pursuit-evasion games with multiple players which are represented by nonlinear dynamic models. This methodology is based on the continuously differentiable upper and lower approximations of the minimum and maximum function of an arbitrary number of arguments, comparison principle, and differential inequalities.

Suggested Citation

  • Dušan M. Stipanović & Arik Melikyan & Naira Hovakimyan, 2010. "Guaranteed Strategies For Nonlinear Multi-Player Pursuit-Evasion Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 12(01), pages 1-17.
    • Handle: RePEc:wsi:igtrxx:v:12:y:2010:i:01:n:s0219198910002489
    DOI: 10.1142/S0219198910002489
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    Citations

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    Cited by:

    1. Aleksandr I. Blagodatskikh & Nikolai N. Petrov, 2019. "Simultaneous Multiple Capture of Rigidly Coordinated Evaders," Dynamic Games and Applications, Springer, vol. 9(3), pages 594-613, September.
    2. Venkata Ramana Makkapati & Panagiotis Tsiotras, 2019. "Optimal Evading Strategies and Task Allocation in Multi-player Pursuit–Evasion Problems," Dynamic Games and Applications, Springer, vol. 9(4), pages 1168-1187, December.
    3. Nikolai N. Petrov & Nadezhda A. Solov’eva, 2019. "Capture of Given Number of Evaders in Pontryagin’s Nonstationary Example," Dynamic Games and Applications, Springer, vol. 9(3), pages 614-627, September.

    More about this item

    Keywords

    Pursuit-evasion games; differential inequalities; multi-player dynamic games; Liapunov analysis;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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