On Some Special Matrix Classes Useful in Optimization and Game Theory

Ronit Neogy ()
Additional contact information
Ronit Neogy: Indian Institute of Management Bangalore, Bannerghatta Road, Bengaluru 560 076, India

International Game Theory Review (IGTR), 2023, vol. 25, issue 03, 1-11

Abstract: The well-known problem of checking copositivity is equivalent to solving a quadratic optimization problem over the standard simplex. This is an object of research for a long time. This paper presents some results related to the well-known matrix classes like copositive, semimonotone matrices discussed in the literature for many years. We relate some important theorems of alternatives with the class of copositive-plus and copositive-star matrices. Finally, we revisit the classes of almost copositive, semimonotone matrices and obtain some new results which are useful in optimization theory. Finally, we present some game theoretic characterizations of these special class of matrices.

Keywords: C0-matrix; C0a-matrix; E0a; C0+-matrix; matrix game (search for similar items in EconPapers)
Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0219198923400066
Access to full text is restricted to subscribers

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:wsi:igtrxx:v:25:y:2023:i:03:n:s0219198923400066

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0219198923400066

Access Statistics for this article

International Game Theory Review (IGTR) is currently edited by David W K Yeung

More articles in International Game Theory Review (IGTR) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().