title: Online-Offline Competition with Heterogeneous Consumers: An Example for No Existence of Pure Strategy Nash Equilibrium
metadata.name: dc.contributor.author
metadata.value: Ford, Weixing
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Han, Haipeng
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Zheng, Jie
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-05-05T11:55:38Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-05-05T11:55:38Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Ford, W., Han, H., & Zheng, J. (2022). Online-Offline Competition with Heterogeneous Consumers: An Example for No Existence of Pure Strategy Nash Equilibrium. Contributions to Game Theory and Management, 15, 41-50.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu31.2022.04
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41421
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Existing literature on competition between online and offline
  firms has focused on market conditions that guarantee the existence of a pure
  strategy Nash equilibrium. In this note, by constructing a concrete example,
  we provide a first attempt to show that the equilibrium existence result does
  not necessarily hold when consumers’ preferences are heterogeneous. Specifically,
  we consider the competition between one online firm and several offline
  firms in a market organized as a Salop model, where consumers’ preferences
  have a binary distribution. We identify a boundary scenario where the type
  distribution is binary with one type of consumer loyal to online shopping
  and the other type loyal to offline shopping. We show that there is no pure
  strategy Nash equilibrium for this boundary scenario, which indicates that
  the market may not be stable under such conditions. Our study contributes
  to a better understanding of the equilibrium existence conditions for the
  online versus offline retail competition.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Contributions to Game Theory and Management;Volume 15
metadata.lang: -
metadata.name: dc.subject
metadata.value: online versus offline
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: price competition
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: salop model
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: heterogeneous consumers
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: existence of equilibrium
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Online-Offline Competition with Heterogeneous Consumers: An Example for No Existence of Pure Strategy Nash Equilibrium
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 04.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41421/1/04.pdf
resources.format: Adobe PDF
resources.size: 841,24 kB