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On the strategic choice of spatial price policy: the role of the pricing game rules

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  • Martín Arroyuelos, Ana María
  • Aguirre Pérez, Iñaki

Abstract

In this paper, whe show that the strategic choice of spatial price policy under duopoly crucially depends on the rules of price competition. Thisse and Vives (1988) show that spatial price discrimination is a dominant strategy when the mill pricing firm is the leader and the discriminatory firm is the follower. When the leader-follower roles are reversed we find that equilibrium pricing policies depend on the consumer's reservation value. The pricing policy game has two equilibria in pure strategies, either both firms price uniformly (f.o.b.) or both firms price discriminate, when the reservation value is low. For intermediate levels of the reservation value, price discrimination is a dominant strategy and the pricing policy game is similar to a Prisoner's Dilemma. When the consumer reservation value is large enough we obtain asymmetric equilibria in which one firm prices according to f.o.b. and the other price discriminates. We also analyze the case of simultaneous price competition and find a mixed strategies equilibrium for the price competition subgame such that the pricing policy game has two equilibria in pure strategies, either both firms price uniformly or both firms price discriminate.

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Bibliographic Info

Paper provided by Universidad del País Vasco - Departamento de Economía Aplicada III (Econometría y Estadística) in its series BILTOKI with number 2001-04.

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Date of creation: Feb 2001
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Handle: RePEc:ehu:biltok:200104

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Postal: Dpto. de Econometría y Estadística, Facultad de CC. Económicas y Empresariales, Universidad del País Vasco, Avda. Lehendakari Aguirre 83, 48015 Bilbao, Spain
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Keywords: spatial price discrimination; price policy;

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References

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  1. Hummels, David & Levinsohn, James A, 1993. "Product Differentiation as a," American Economic Review, American Economic Association, vol. 83(2), pages 445-49, May.
  2. Lederer, Phillip J & Hurter, Arthur P, Jr, 1986. "Competition of Firms: Discriminatory Pricing and Location," Econometrica, Econometric Society, vol. 54(3), pages 623-40, May.
  3. THISSE, Jacques-François & VIVES, Xavier, . "Basing point pricing: Competition versus collusion," CORE Discussion Papers RP -1003, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Dasgupta, Partha & Maskin, Eric, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," Review of Economic Studies, Wiley Blackwell, vol. 53(1), pages 1-26, January.
  5. Eber, Nicolas, 1997. "A note on the strategic choice of spatial price discrimination," Economics Letters, Elsevier, vol. 55(3), pages 419-423, September.
  6. Hurter, Arthur Jr & Lederer, Phillip J., 1985. "Spatial duopoly with discriminatory pricing," Regional Science and Urban Economics, Elsevier, vol. 15(4), pages 541-553, November.
  7. Thisse, J.-F. & Vives, X., 1987. "On the strategic choice of spatial price policy," CORE Discussion Papers 1987008, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Phlips,Louis, 1983. "The Economics of Price Discrimination," Cambridge Books, Cambridge University Press, number 9780521283946, December.
  9. Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
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Cited by:
  1. Aguirre, Inaki & Paz Espinosa, Maria, 2004. "Product differentiation with consumer arbitrage," International Journal of Industrial Organization, Elsevier, vol. 22(2), pages 219-239, February.

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