{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T05:52:44Z","timestamp":1649051564326},"reference-count":6,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2014,3]]},"abstract":"<jats:p> Cournot competition model calculates profit by company's product quantity, but it does not take market share objective into consideration. It has obstacles of considering nonlinear aspects because the partial derivative equations are very hard to solve. Our algorithm both improves Cournot's model with consideration of market share ratio, and avoids the difficulty of solving several partial derivative equations directly. In our algorithm, we give a parameter \u03c3 to describe a company's consideration of market share objective, formulate the competition between companies, and calculate new market share ratio using parameter \u03c3. We consider two network structures in our model: complete graph network and star graph network. For complete graph network, our calculation and numerical analysis is based on the case of 3 companies, but the result for general number of companies, n, is also discussed. We give a series of numerical results of new market share ratio after given the initial market share ratio and the parameter \u03c3, and show that the initial market share ratio and new market share ratio are highly linear. Another important property in this network is the convergence of market share ratio when n goes to infinity. For star graph network, we give calculation for general cases and show that n = 3, 4 are the only numbers of companies that have positive increase of the market share ratio of the company. <\/jats:p>","DOI":"10.1142\/s1793830914500050","type":"journal-article","created":{"date-parts":[[2013,10,30]],"date-time":"2013-10-30T20:59:09Z","timestamp":1383166749000},"page":"1450005","source":"Crossref","is-referenced-by-count":0,"title":["AN IMPROVED COURNOT COMPETITION MODEL: CONSIDERATION OF MARKET SHARE OBJECTIVE"],"prefix":"10.1142","volume":"06","author":[{"given":"TONGYANG","family":"LI","sequence":"first","affiliation":[{"name":"Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2014,2,18]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.2307\/2550723"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijindorg.2006.04.017"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/j.enpol.2011.10.047"},{"key":"rf6","first-page":"424","volume":"75","author":"Katz M. L.","journal-title":"Amer. Econ. Rev."},{"key":"rf7","volume":"17","author":"Paillard C.-A.","journal-title":"Russie Nei. Visions"},{"key":"rf8","unstructured":"M. J.\u00a0Peck, The U.S. Business Corporation: An Institution in Transition, eds. J. R.\u00a0Meyer and J. M.\u00a0Gustafson (Ballinger, Cambridge, Massachusetts, 1988)\u00a0pp. 35\u201336."}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830914500050","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T13:59:21Z","timestamp":1565099961000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830914500050"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,2,18]]},"references-count":6,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2014,2,18]]},"published-print":{"date-parts":[[2014,3]]}},"alternative-id":["10.1142\/S1793830914500050"],"URL":"https:\/\/doi.org\/10.1142\/s1793830914500050","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,2,18]]}}}