The Library
Continuous positional payoffs
Tools
Kozachinskiy, Alexander (2021) Continuous positional payoffs. In: 32nd International Conference on Concurrency Theory (CONCUR'21), Online, 23-27 Aug 2021. Published in: Proceedings of the 32nd International Conference on Concurrency Theory (CONCUR'21), 203 10:1-10:17. ISBN 9783959772037. doi:10.4230/LIPIcs.CONCUR.2021.10 ISSN 1868-8969.
|
PDF
WRAP-continuous-positional-payoffs-Kozachinskiy-2021.pdf - Accepted Version - Requires a PDF viewer. Available under License Creative Commons Attribution 4.0. Download (816Kb) | Preview |
Official URL: http://dx.doi.org/10.4230/LIPIcs.CONCUR.2021.10
Abstract
What payoffs are positionally determined for deterministic two-player antagonistic games on finite directed graphs? In this paper we study this question for payoffs that are continuous. The main reason why continuous positionally determined payoffs are interesting is that they include the multi-discounted payoffs.
We show that for continuous payoffs positional determinacy is equivalent to a simple property called prefix-monotonicity. We provide three proofs of it, using three major techniques of establishing positional determinacy - inductive technique, fixed point technique and strategy improvement technique. A combination of these approaches provides us with better understanding of the structure of continuous positionally determined payoffs as well as with some algorithmic results.
Item Type: | Conference Item (Paper) | ||||||
---|---|---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software |
||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||||
Library of Congress Subject Headings (LCSH): | Game theory, Game theory -- Computer programs, Machine theory, Computational complexity, Computer logic | ||||||
Series Name: | Leibniz International Proceedings in Informatics (LIPIcs) | ||||||
Journal or Publication Title: | Proceedings of the 32nd International Conference on Concurrency Theory (CONCUR'21) | ||||||
Publisher: | Schloss Dagstuhl – Leibniz-Zentrum für Informatik GmbH | ||||||
ISBN: | 9783959772037 | ||||||
ISSN: | 1868-8969 | ||||||
Official Date: | 13 August 2021 | ||||||
Dates: |
|
||||||
Volume: | 203 | ||||||
Page Range: | 10:1-10:17 | ||||||
DOI: | 10.4230/LIPIcs.CONCUR.2021.10 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||
Date of first compliant deposit: | 8 July 2021 | ||||||
Date of first compliant Open Access: | 9 July 2021 | ||||||
RIOXX Funder/Project Grant: |
|
||||||
Conference Paper Type: | Paper | ||||||
Title of Event: | 32nd International Conference on Concurrency Theory (CONCUR'21) | ||||||
Type of Event: | Conference | ||||||
Location of Event: | Online | ||||||
Date(s) of Event: | 23-27 Aug 2021 | ||||||
Related URLs: | |||||||
Open Access Version: |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year