Price vs. Quantity in duopoly with strategic delegation: Role of network externalities
AbstractThis paper examines the implications of network externalities on equilibrium outcomes in a differentiated products duopoly under strategic managerial delegation through relative performance based incentive contracts. It shows that Miller and Pazgal (2001)'s equivalence result does not go through in the presence of network externalities. Instead, Singh and Vives (1984)'s rankings of equilibrium outcomes under Cournot and Bertrand hold true under relative performance based delegation contracts as well, if there are network externalities. However, when firms can choose whether to compete in price or in quantity, there are two pure strategy Nash equilibria and one mixed strategy Nash equilibrium. Interestingly, in pure strategy Nash equilibria asymmetric competition occurs, where a firm competes in price and its rival firm competes in quantity. Further, the mixed strategy Nash equilibrium probability of a firm to compete in terms of price increases with the strength of network effects and is always greater than the probability to compete in terms of price.
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Bibliographic InfoPaper provided by Indira Gandhi Institute of Development Research, Mumbai, India in its series Indira Gandhi Institute of Development Research, Mumbai Working Papers with number 2013-010.
Length: 34 pages
Date of creation: May 2013
Date of revision:
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Symmetric competition; Price competition; Network externalities; Quantity competition; Relative performance contract; Strategic delegation;
Find related papers by JEL classification:
- D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
- L22 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Organization and Market Structure
- L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
- D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-07-20 (All new papers)
- NEP-BEC-2013-07-20 (Business Economics)
- NEP-COM-2013-07-20 (Industrial Competition)
- NEP-CSE-2013-07-20 (Economics of Strategic Management)
- NEP-IND-2013-07-20 (Industrial Organization)
- NEP-MIC-2013-07-20 (Microeconomics)
- NEP-MKT-2013-07-20 (Marketing)
- NEP-NET-2013-07-20 (Network Economics)
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- Church, Jeffrey & Ware, Roger, 1996. "Delegation, market share and the limit price in sequential entry models," International Journal of Industrial Organization, Elsevier, vol. 14(5), pages 575-609, July.
- Ziss, Steffen, 2001. "Horizontal mergers and delegation," International Journal of Industrial Organization, Elsevier, vol. 19(3-4), pages 471-492, March.
- Das, Satya P., 1997. "Strategic managerial delegation and trade policy," Journal of International Economics, Elsevier, vol. 43(1-2), pages 173-188, August.
- Dastidar, Krishnendu Ghosh, 1997. "Comparing Cournot and Bertrand in a Homogeneous Product Market," Journal of Economic Theory, Elsevier, vol. 75(1), pages 205-212, July.
- Ghosh, Arghya & Mitra, Manipushpak, 2010. "Comparing Bertrand and Cournot in mixed markets," Economics Letters, Elsevier, vol. 109(2), pages 72-74, November.
- Szymanski, Stefan, 1994. "Strategic delegation with endogenous costs : A duopoly with wage bargaining," International Journal of Industrial Organization, Elsevier, vol. 12(1), pages 105-116, March.
- Lambertini, Luca, 1997.
"Prisoners' Dilemma in Duopoly (Super)Games,"
Journal of Economic Theory,
Elsevier, vol. 77(1), pages 181-191, November.
- Fershtman, Chaim, 1985. "Managerial incentives as a strategic variable in duopolistic environment," International Journal of Industrial Organization, Elsevier, vol. 3(2), pages 245-253, June.
- White, Mark D., 2001. "Managerial incentives and the decision to hire managers in markets with public and private firms," European Journal of Political Economy, Elsevier, vol. 17(4), pages 877-896, November.
- Nicholas Economides, 1997.
"Network Externalities, Complementarities, and Invitations to Enter,"
- Economides, Nicholas, 1996. "Network externalities, complementarities, and invitations to enter," European Journal of Political Economy, Elsevier, vol. 12(2), pages 211-233, September.
- Scrimitore, Marcella, 2013. "Price or quantity? The strategic choice of subsidized firms in a mixed duopoly," Economics Letters, Elsevier, vol. 118(2), pages 337-341.
- Javier M. López Cuñat & Miguel González-Maestre, 1999.
"- Delegation And Mergers In Oligopoly,"
Working Papers. Serie AD
1999-03, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Luciano Fanti & Nicola Meccheri, 2010.
"The Cournot-Bertrand profit differential in a differentiated duopoly with unions and labour decreasing returns,"
2010/107, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
- Luciano Fanti & Nicola Meccheri, 2011. "The Cournot-Bertrand profit differential in a differentiated duopoly with unions and labour decreasing returns," Economics Bulletin, AccessEcon, vol. 31(1), pages 233-244.
- Luciano Fanti & Nicola Meccheri, 2010. "The Cournot-Bertrand Profit Differential in a Differentiated Duopoly with Unions and Labour Decreasing Returns," Working Paper Series 36_10, The Rimini Centre for Economic Analysis.
- Jansen, Thijs & van Lier, Arie & van Witteloostuijn, Arjen, 2007. "A note on strategic delegation: The market share case," International Journal of Industrial Organization, Elsevier, vol. 25(3), pages 531-539, June.
- Fershtman, Chaim & Judd, Kenneth L, 1987.
"Equilibrium Incentives in Oligopoly,"
American Economic Review,
American Economic Association, vol. 77(5), pages 927-40, December.
- Miller, Nolan H & Pazgal, Amit I, 2001. "The Equivalence of Price and Quantity Competition with Delegation," RAND Journal of Economics, The RAND Corporation, vol. 32(2), pages 284-301, Summer.
- Juan Carlos Bárcena-Ruiz & María Begoña Garzón, 2002. "Environmental taxes and strategic delegation," Spanish Economic Review, Springer, vol. 4(4), pages 301-309.
- Kangsik Choi, 2012. "Price And Quantity Competition In A Unionised Mixed Duopoly: The Cases Of Substitutes And Complements," Australian Economic Papers, Wiley Blackwell, vol. 51(1), pages 1-22, 03.
- Hackner, Jonas, 2000.
"A Note on Price and Quantity Competition in Differentiated Oligopolies,"
Journal of Economic Theory,
Elsevier, vol. 93(2), pages 233-239, August.
- Häckner, Jonas, 1999. "A Note on Price and Quantity Competition in Differentiated Oligopolies," Research Papers in Economics 1999:9, Stockholm University, Department of Economics.
- Matsumura, Toshihiro & Ogawa, Akira, 2012. "Price versus quantity in a mixed duopoly," Economics Letters, Elsevier, vol. 116(2), pages 174-177.
- Katz, Michael L & Shapiro, Carl, 1985. "Network Externalities, Competition, and Compatibility," American Economic Review, American Economic Association, vol. 75(3), pages 424-40, June.
- Hoernig, Steffen, 2012. "Strategic delegation under price competition and network effects," Economics Letters, Elsevier, vol. 117(2), pages 487-489.
- Piercarlo Zanchettin, 2006. "Differentiated Duopoly with Asymmetric Costs," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 15(4), pages 999-1015, December.
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