GUARANTEED STRATEGIES FOR NONLINEAR MULTI-PLAYER PURSUIT-EVASION GAMES

Dušan M. Stipanović (), Arik Melikyan and Naira Hovakimyan ()
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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
Naira Hovakimyan: Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA

International Game Theory Review (IGTR), 2010, vol. 12, issue 01, 1-17

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.

Keywords: Pursuit-evasion games; differential inequalities; multi-player dynamic games; Liapunov analysis (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (3)

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DOI: 10.1142/S0219198910002489

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