A Consumer-Based Model of Competitive Diffusion of Two Goods: The Effects of Network Externalities and Local Interactions

Masaki Tomochi, Hiroaki Murata and Mitsuo Kono
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Masaki Tomochi: Institute for Mathematical Behavioral Sciences, University of California, Irvine
Hiroaki Murata: Chuo Computer System
Mitsuo Kono: Faculty of Policy Studies, Chuo University

Game Theory and Information from University Library of Munich, Germany

Abstract: The diffusion of two competitive, interchangeable, and durable goods is studied under the framework of a spatial game where consumers are distributed on a two-dimensional square lattice and play 3$\times$3 symmetric coordination-like games with their nearest neighbors. There are three strategies, either consuming a product A or B, or a strategy C of not consuming either A or B. The payoff matrix of the game contains the positive effects of network externality, that is, the payoffs are increasing functions of the number of agents adopting the strategies A or B. Both simulations and mean-field approximation show that the existence of the positive effects of the network externality amplifies any slight initial difference in the number of agents who adopt either A or B and eventually promotes the superior product to take over the entire market. On the other hand, without effects of the network externality the slight initial difference is not enlarged and both superior and inferior products are observed to coexist by forming clusters in the market. Moreover, the effects of innovation factors that help an inferior product to retake the market are studied. It is shown that both the timing and size of the innovation factor matter for an inferior product in order to retake the market.

Keywords: competitive diffusion; network externality; local interaction; global externality; local externality; evolutionary game; spatial game (search for similar items in EconPapers)
JEL-codes: C7 D8 (search for similar items in EconPapers)
Pages: 26 pages
Date: 2002-05-20
New Economics Papers: this item is included in nep-mic
Note: Type of Document - PDF; prepared on MicroSoft Windows; to print on ps; pages: 26; figures: separate but included (PDF). pdf format. comments are more than welcome.
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Persistent link: https://EconPapers.repec.org/RePEc:wpa:wuwpga:0205006

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