The game of two cars with a containment probability as a cost function: The case of variable speed

DOI10.1016/0898-1221(89)90124-7zbMath0688.90069OpenAlexW2041650686MaRDI QIDQ1264103

Yaakov Yavin, R. de Villiers

Publication date: 1989

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(89)90124-7

zbMATH Keywords

stochastic differential equationssaddle-pointsgame of two carsstochastic versiongeneralized torusnoise-perturbed kinematic modelnonlinear boundary problemsuboptimal feedback pursuit strategy

Mathematics Subject Classification ID

Game theory (91A99) Differential games (aspects of game theory) (91A23) Positional games (pursuit and evasion, etc.) (91A24) Probabilistic games; gambling (91A60)

Related Items (2)

A pursuit-evasion game with one curvature constraint ⋮ Proportional navigation and the game of two cars: The case of a pursuer with variable speed

Cites Work

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• The geometry of the barrier in the ‘game of two cars’
• Capturability in a two-target 'game of two cars'
• A note on Three-dimensional pursuit-evasion game with bounded curvature

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