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Endogenous Timing in Vertically-Related Markets

Author

Listed:
  • Din Hong-Ren

    (Department of Tourism and Hospitality, TransWorld University, No. 1221, Zhennan Rd., Douliu City, Yunlin County 640, Taiwan)

  • Sun Chia-Hung

    (Department of Economics, Soochow University, No. 56, Kueiyang Street, Section 1, Taipei100, Taiwan)

Abstract

This paper investigates the theory of endogenous timing by taking into account a vertically-related market where an integrated firm competes with a downstream firm. Contrary to the standard results in the literature, we find that both firms play a sequential game in quantity competition and play a simultaneous game in price competition. Under mixed quantity-price competition, the firm choosing a price strategy moves first and the other firm choosing a quantity strategy moves later in equilibrium. Given that the timing of choosing actions is determined endogenously, aggregate profit (consumer surplus) is higher (lower) under price competition than under quantity competition. Lastly, social welfare is higher under quantity competition than under price competition when the degree of product substitutability is relatively low.

Suggested Citation

  • Din Hong-Ren & Sun Chia-Hung, 2018. "Endogenous Timing in Vertically-Related Markets," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 18(2), pages 1-18, July.
  • Handle: RePEc:bpj:bejtec:v:18:y:2018:i:2:p:18:n:4
    DOI: 10.1515/bejte-2016-0103
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    References listed on IDEAS

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    1. Amir, Rabah & Stepanova, Anna, 2006. "Second-mover advantage and price leadership in Bertrand duopoly," Games and Economic Behavior, Elsevier, vol. 55(1), pages 1-20, April.
    2. Hamilton, Jonathan H. & Slutsky, Steven M., 1990. "Endogenous timing in duopoly games: Stackelberg or cournot equilibria," Games and Economic Behavior, Elsevier, vol. 2(1), pages 29-46, March.
    3. Mailath George J., 1993. "Endogenous Sequencing of Firm Decisions," Journal of Economic Theory, Elsevier, vol. 59(1), pages 169-182, February.
    4. Avinash Dixit, 1979. "A Model of Duopoly Suggesting a Theory of Entry Barriers," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 20-32, Spring.
    5. José Naya, 2015. "Endogenous timing in a mixed duopoly model," Journal of Economics, Springer, vol. 116(2), pages 165-174, October.
    6. Albaek, Svend, 1990. "Stackelberg Leadership as a Natural Solution under Cost Uncertainty," Journal of Industrial Economics, Wiley Blackwell, vol. 38(3), pages 335-347, March.
    7. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    8. Alipranti, Maria & Milliou, Chrysovalantou & Petrakis, Emmanuel, 2014. "Price vs. quantity competition in a vertically related market," Economics Letters, Elsevier, vol. 124(1), pages 122-126.
    9. Arya, Anil & Mittendorf, Brian & Sappington, David E.M., 2008. "Outsourcing, vertical integration, and price vs. quantity competition," International Journal of Industrial Organization, Elsevier, vol. 26(1), pages 1-16, January.
    10. Pal, Debashis, 1998. "Endogenous timing in a mixed oligopoly," Economics Letters, Elsevier, vol. 61(2), pages 181-185, November.
    11. DeGraba, Patrick, 1990. "Input Market Price Discrimination and the Choice of Technology," American Economic Review, American Economic Association, vol. 80(5), pages 1246-1253, December.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Bertrand competition; Cournot competition; Endogenous timing; Vertically-related markets;
    All these keywords.

    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory

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