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One pursuer and two evaders on the line: A stochastic pursuit-evasion differential game

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Publication:1166444
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DOI10.1007/BF00933756zbMath0488.90097MaRDI QIDQ1166444

Meir Pachter, Yaakov Yavin

Publication date: 1983

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)


zbMATH Keywords

game of degreeone pursuerconvective heat conductiondegenerate parabolic partial differential equationsdetermination of capture probabilitydifferential game on the real lineheat conduction analogynoise affected motiontwo evaders


Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23) Positional games (pursuit and evasion, etc.) (91A24) Probabilistic games; gambling (91A60)




Cites Work

  • Unnamed Item
  • A stochastic homicidal chauffeur pursuit-evasion differential game
  • Stochastic stability and control
  • Evaluations of barrier-crossing probabilities of Wiener paths
  • On a Certain Problem for Parabolic Differential Equations Connected with Optimal Pursuit
  • Diffusion processes with continuous coefficients, I
  • Optimal bang-bang controls that maximize the probability of hitting a target manifold†
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