A note on anti-coordination and social interactions

Zhigang Cao and Xiaoguang Yang ()
Additional contact information
Xiaoguang Yang: Chinese Academy of Sciences

Journal of Combinatorial Optimization, 2013, vol. 26, issue 4, No 12, 818 pages

Abstract: Abstract This note confirms a conjecture of (Bramoullé in Games Econ Behav 58:30–49, 2007). The problem, which we name the maximum independent cut problem, is a restricted version of the MAX-CUT problem, requiring one side of the cut to be an independent set. We show that the maximum independent cut problem does not admit any polynomial time algorithm with approximation ratio better than n 1−ϵ , where n is the number of nodes, and ϵ arbitrarily small, unless $\mathrm{P} = \mathrm{NP}$ . For the rather special case where each node has a degree of at most four, the problem is still APX-hard.

Keywords: Anti-coordination game; The frustration function; The maximum independent cut problem; APX-hard (search for similar items in EconPapers)
Date: 2013
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10878-012-9486-7 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:jcomop:v:26:y:2013:i:4:d:10.1007_s10878-012-9486-7

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/10878

DOI: 10.1007/s10878-012-9486-7

Access Statistics for this article

Journal of Combinatorial Optimization is currently edited by Thai, My T.

More articles in Journal of Combinatorial Optimization from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().