Abstract:
Differential search games with simple motions of objects on an infinite circular cylinder are approached geometrically, using sets whose structure depends on time. Sufficient conditions for detection with the corresponding strategies are given. New kinds of problems are proposed, their connections with the initial parameters are investigated.
Citation:
A. G. Chkhartishvili, E. V. Shikin, “Simple search games on an infinite circular cylinder”, Mat. Zametki, 58:5 (1995), 762–772; Math. Notes, 58:5 (1995), 1216–1222
This publication is cited in the following 4 articles:
Thomas P. Ol&xEron Evans, Steven R. Bishop, Frank T. Smith, Approaches to Geo&;#x02010;mathematical Modelling, 2016, 306
Ryusuke Hohzaki, “SEARCH GAMES: LITERATURE AND SURVEY”, JORSJ, 59:1 (2016), 1
Thomas P. Oléron Evans, Steven R. Bishop, “Static search games played over graphs and general metric spaces”, European Journal of Operational Research, 231:3 (2013), 667
A. G. Chkhartishvili, E. V. Shikin, “Dinamicheskii poisk ob'ektov. Geometricheskii vzglyad na problemu”, Fundament. i prikl. matem., 1:4 (1995), 827–862