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Seller's dilemma due to social interactions between customers

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Author Info

  • Gordon, Mirta B.
  • Nadal, Jean-Pierre
  • Phan, Denis
  • Vannimenus, Jean

Abstract

In this paper, we consider a discrete choice model where heterogeneous agents are subject to mutual influences. We explore some consequences on the market's behaviour, in the simplest case of a uniform willingness to pay distribution. We exhibit a first-order phase transition in the profit optimization by the monopolist: if the social influence is strong enough, there is a regime where, if the mean willingness to pay increases, or if the production costs decrease, the optimal solution for the monopolist jumps from a solution with a high price and a small number of buyers, to a solution with a low price and a large number of buyers. Depending on the path of prices adjustments by the monopolist, simulations show hysteretic effects on the fraction of buyers.

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File URL: http://www.sciencedirect.com/science/article/pii/S0378437105002220
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Bibliographic Info

Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

Volume (Year): 356 (2005)
Issue (Month): 2 ()
Pages: 628-640

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Handle: RePEc:eee:phsmap:v:356:y:2005:i:2:p:628-640

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Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

Related research

Keywords: Ising model; Social interactions; Monopoly market; Econophysics;

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Cited by:
  1. Sch├╝tz, Gunter M. & de Almeida Prado, Fernando Pigeard & Harris, Rosemary J. & Belitsky, Vladimir, 2009. "Short-time behaviour of demand and price viewed through an exactly solvable model for heterogeneous interacting market agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4126-4144.
  2. Semeshenko, Viktoriya & Gordon, Mirta B. & Nadal, Jean-Pierre, 2008. "Collective states in social systems with interacting learning agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(19), pages 4903-4916.
  3. Pigeard de Almeida Prado, Fernando & Belitsky, Vladimir & Ferreira, Alex Luiz, 2011. "Social interactions, product differentiation and discontinuity of demand," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 642-653.
  4. Mirta B. Gordon & Jean-Pierre Nadal & Denis Phan & Viktoriya Semeshenko, 2012. "Entanglement between Demand and Supply in Markets with Bandwagon Goods," Papers 1209.1321, arXiv.org, revised Dec 2012.
  5. Gunter M. Sch\"utz & Fernando Pigeard de Almeida Prado & Rosemary J. Harris & Vladimir Belitsky, 2007. "Short-time behaviour of demand and price viewed through an exactly solvable model for heterogeneous interacting market agents," Papers 0801.0003, arXiv.org, revised Jun 2009.
  6. G\'erard Weisbuch & Vincent Buskens & Luat Vuong, 2007. "Heterogeneity and Increasing Returns May Drive Socio-Economic Transitions," Papers 0706.1454, arXiv.org.
  7. Vladimir Belitsky & Antonio L. Pereira & Fernando P. de Almeida Prado, 2009. "Stability analysis with applications of a two-dimensional dynamical system arising from a stochastic model of an asset market," Papers 0909.4815, arXiv.org.
  8. Sebastian Goncalves & M. F. Laguna & J. R. Iglesias, 2012. "Why, when, and how fast innovations are adopted," Papers 1208.2589, arXiv.org.
  9. Vincenzo Atella & Jay Bhattacharya & Lorenzo Carbonari, 2008. "Pharmaceutical industry, drug quality and regulation. Evidence from US and Italy," CEIS Research Paper 138, Tor Vergata University, CEIS, revised 16 Dec 2008.
  10. Jean-Pierre Nadal & Denis Phan & Mirta Gordon & Jean Vannimenus, 2005. "Multiple equilibria in a monopoly market with heterogeneous agents and externalities," Quantitative Finance, Taylor & Francis Journals, vol. 5(6), pages 557-568.

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