An open problem on inverse matrices from industrial organization, and a partial solution
type: Item
instance of: scholarly article
title: An open problem on inverse matrices from industrial organization, and a partial solution
zbMATH Open document ID: 1245.15012
author: Jingang Zhao
published in: Linear Algebra and its Applications
publication date: 2012-05-14T00:00:00Z
review text: The author proposes a large class of matrices, from industrial organization, whose inverses yield the strategic equilibria in most linear oligopoly models. The paper provides a partial solution to the computation of the inverse of a spacial category of such matrices. A complete understanding of these matrices remains unknown and their properties form a long list of open problems.
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A29
Mathematics Subject Classification ID: 15B99
Mathematics Subject Classification ID: 91B38
Mathematics Subject Classification ID: 91B26
Mathematics Subject Classification ID: 91B24
zbMATH DE Number: 6034530
zbMATH Keywords: arbitrary coalition structure
zbMATH Keywords: inverse matrix
zbMATH Keywords: multiproduct oligopoly
zbMATH Keywords: strategic equillibrium
reviewed by: Nicholas Karampetakis
MaRDI profile type: Publication
full work available at URL: j.laa.2012.02.019
OpenAlex ID: W2025842805
cites work: Q5563225
cites work: Strong mediated equilibrium
cites work: Equilibrium points in n -person games
cites work: A strategic market game with price and quantity strategies
cites work: Q4981571
cites work: On the efficiency of indirect taxes in differentiated oligopolies with asymmetric costs
DOI: 10.1016/J.LAA.2012.02.019
description: scientific article; zbMATH DE number 6034530