Diffusion of New Products with Heterogeneous Consumers

Gadi Fibich () and Amit Golan ()
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Gadi Fibich: Department of Applied Mathematics, Tel Aviv University, Tel Aviv 69978, Israel
Amit Golan: Department of Applied Mathematics, Tel Aviv University, Tel Aviv 69978, Israel

Mathematics of Operations Research, 2023, vol. 48, issue 1, 257-287

Abstract: Does a new product spread faster among heterogeneous or homogeneous consumers? We analyze this question using the stochastic discrete Bass model in which consumers may differ in their individual external influence rates { p j } and in their individual internal influence rates { q j } . When the network is complete and the heterogeneity is only manifested in { p j } or only in { q j } , it always slows down the diffusion, compared with the corresponding homogeneous network. When, however, consumers are heterogeneous in both { p j } and { q j } , heterogeneity slows down the diffusion in some cases but accelerates it in others. Moreover, the dominance between the heterogeneous and homogeneous adoption levels is global in time in some cases but changes with time in others. Perhaps surprisingly, global dominance between two networks is not always preserved under “additive transformations”, such as adding an identical node to both networks. When the network is not complete, the effect of heterogeneity depends also on its spatial distribution within the network.

Keywords: Primary: 90B15; marketing; bass model; heterogeneity; agent-based model; stochastic models; discrete models; diffusion in networks; analysis (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormoor:v:48:y:2023:i:1:p:257-287

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