title: A design of strategies in alternative pursuit games
metadata.name: dc.contributor.author
metadata.value: Shevchenko, Igor
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Stipanović, Dušan M.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-07-26T08:03:50Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-07-26T08:03:50Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Shevchenko, I.I. and Stipanović, D.M., 2016. A design of strategies in alternative pursuit games. Contributions to Game Theory and Management, 9(0), pp.266-275.
metadata.lang: en_GB
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/11937
metadata.lang: -
metadata.name: dc.description
metadata.value: Contributions to game theory and management, vol. X. Collected papers presented on the Tenth International Conference Game Theory and Management / Editors Leon A. Petrosyan, Nikolay A. Zenkevich. – SPb.: Saint Petersburg State University, 2017. – 404 p.
  The collection contains papers accepted for the Tenth International Conference Game Theory and Management (July 7-9, 2016, St. Petersburg State University, St. Petersburg, Russia).
metadata.lang: en_GB
metadata.name: dc.description.abstract
metadata.value: In this work we consider the games where P 
  P
   can terminate pursuit at will on any of two terminal manifolds. If the optimal feedback strategies for every variant of termination are known, an obvious pursuit strategy assigns the control that corresponds to the alternative with less value at every state. On the manifold with equal alternative values, this strategy may become discontinuous even when the value functions themselves are smooth. We describe smooth approximations for the minimum functions that allow to construct smooth alternative strategies and to deal with generalized solutions for differential equations with discontinuous right-hand sides. However, as shown by an example, the state may stay on a equivalued manifold and the game never terminates.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: Saint Petersburg State University
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: approximations of minimum and maximum functions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: alternative pursuit
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: generalized solutions for differential equations with discontinuous right-hand sides
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: A design of strategies in alternative pursuit games
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Other
metadata.lang: en_GB