Abstract
Pursuit evasion games with costly and asymmetric information are studied. It is supposed that the evader has perfect information about the position of the pursuer (and himself) at each instant of time whereas the pursuer gets information about the position of the evader only at discrete instants. Furthermore we suppose that the pursuer cannot move during a given period of time while he gathers this information. We investigate both the case in which the instants of observation are chosen by the pursuer in an open loop way (at the beginning of the game) and the case in which he chooses these instants according to the last information obtained (i.e., he chooses in a feedback way).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
D.G. Luenberger, Optimization by Vector Space Methods. John Wiley, New York, 1969.
A. A. Melikian, On minimal observations in a game of encounter. PMM, 37 (3), 1972, 426 - 433.
A.A Melikian, On optimal selection of noise intervals in differential games of encounter. PMM, 37 (2), 1973, 195 - 203.
P. Bernhard, O. Pourtallier, Pursuit Evasion Game with Costly Infor¬mation. Dynamics and Control.
P. Bernhard, J. M. Nicolas, O. Pourtallier, Pursuit games with costly in-formation, two approaches. Fifth International Symposium on Dynamic Games and Applications, Grimentz, Switzerland July 1992.
V. Laporte, J.M. Nicolas, P. Bernhard, About the resolution of discrete pursuit games and its applications to naval warfare. Differential Games- Developments in Modelling and Computation. Springer Verlag, 1991.
N. S. Pontryagin, Linear Differential Games, I and II. Soviet Math. Doklady 8, 1967.
G.V. Tomski, Jeux dynamiques qualitatifs, Cahier du CEREMADE n°7934, Universite Paris 9 Dauphine, 1979.
P. Bernhard, G. Tomski, Une construction retrograde dans les jeux differentiels qualitatifs, et application a la regulation, RAIRO, J 16: 1, 1982, 71 - 84.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1995 Birkhäuser Boston
About this paper
Cite this paper
Olsder, G.J., Pourtallier, O. (1995). Optimal Selection of Observation Times in a Costly Information Game. In: Olsder, G.J. (eds) New Trends in Dynamic Games and Applications. Annals of the International Society of Dynamic Games, vol 3. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4274-1_11
Download citation
DOI: https://doi.org/10.1007/978-1-4612-4274-1_11
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-8719-3
Online ISBN: 978-1-4612-4274-1
eBook Packages: Springer Book Archive