Multiplayer games as extension of misère games

Koki Suetsugu ()
Additional contact information
Koki Suetsugu: Kyoto University

International Journal of Game Theory, 2019, vol. 48, issue 3, No 4, 796 pages

Abstract: Abstract We introduce i-misère play to multiplayer impartial games, which is an extension of Li’s rank-based play and, at the same time, which contains the normal play and the misère play as special cases when the number of players is two. We characterize losing positions of such plays for both NIM and Moore’s game. i-misère play is defined as a special case of a more general notion of preference-based play, and we also study properties of some other preference-based plays.

Keywords: Combinatorial game theory; Multiplayer game; Misère play; NIM; Moore’s game (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s00182-019-00662-8 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jogath:v:48:y:2019:i:3:d:10.1007_s00182-019-00662-8

Ordering information: This journal article can be ordered from
http://www.springer. ... eory/journal/182/PS2

DOI: 10.1007/s00182-019-00662-8

Access Statistics for this article

International Journal of Game Theory is currently edited by Shmuel Zamir, Vijay Krishna and Bernhard von Stengel

More articles in International Journal of Game Theory from Springer, Game Theory Society
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().