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The complete strategic classification for a cooperation–competition model in the WWW market
Institution:1. Department of Applied Mathematics, Tongji University, Shanghai 200092, China;2. Department of Mathematics, University of Science and Technology of China, Hefei 230026, China;1. College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, China;2. Department of Mathematics and Statistics, Oakland University, Rochester, MI 48309, United States;1. College of management, Fujian Agriculture and Forestry University, Fuzhou 350002, China;2. College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, China;3. College of Physics and Information Engineering, Fuzhou University, Fuzhou 350116, China;4. School of Automation, Beijing Institute of Technology, 100081, China;5. Key Lab for Network-based Cooperative ATM, Beihang University, Beijing 100191, China;1. Department of Mathematics, University of California at Davis, Davis, California;2. Department of Cellular and Molecular Medicine, University of Arizona, Tucson, Arizona
Abstract:Wang and Wu Physica A 339 (2004) 609–620] proposed a cooperation–competition model for the WWW market. Under the assumptions that the intrinsic growth rates and maximum fractions are equal, respectively, and that the interaction is symmetric, they provided the strategies for the small sites to win and the powerful site to be extinct. This paper gives the complete strategic classification for this model without any hypothesis.
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