Price competition with the attraction demand model: Existence of unique equilibrium and its stability

Manufacturing and Service Operations Management

Volumn 8, Issue 4, 2006, Pages 359-375

  Gallego, Guillermo ^a   Huh, Woonghee Tim ^a   Kang, Wanmo ^b   Phillips, Robert ^c  

^a Fu Foundation School of Engineering and Applied Science   (United States)

^b Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

^c Nomis Solutions Inc   (United States)

Author keywords

Attraction demand model; Convex costs; Nash equilibrium; Oligopoly; Price competition

Indexed keywords

ATTRACTION DEMAND MODEL; CONVEX COSTS; NASH EQUILIBRIUM; OLIGOPOLY; PRICE COMPETITION;

CONVERGENCE OF NUMERICAL METHODS; COSTS; INDUSTRIAL ECONOMICS; INDUSTRIAL MANAGEMENT; OPERATIONS RESEARCH;

COMPETITION;

EID: 33749365676     PISSN: 15234614     EISSN: 15265498     Source Type: Journal    
DOI: 10.1287/msom.1060.0115     Document Type: Article

References (33)

1. Allon, G., A. Federgruen, 2004. Service competition with general queueing facilities. Working paper.
2. Anderson, S. P., A. De Palma, J.-F. Thisse. 1996. Discrete Choice Theory of Product Differentiation. MIT Press, Cambridge, MA.
3. Benassy, J.-P. 1989. Market size and substitutability in imperfect competition: A Bertrand-Edgeworth-Chamberlin model. Rev. Econoni. Stud. 56 217-234.
4. Bernstein, F., A. Federgruen. 2003. Pricing and replenishment strategies in a distribution system with competing retailers. Oper. Res. 51(3) 409-426.
5. Bernstein, F., A. Federgruen. 2004a. Comparative statics, strategic complements and substitutes in oligopolies. J. Math. Econom. 40(6) 713-746.
6. Bernstein, F., A. Federgruen. 2004b. A general equilibrium model for industries with price and service competition. Oper. Res. 52(6) 868-886.
7. Bernstein, F., F. Chen, A. Federgruen. 2002. Vendor managed inventories and supply chain coordination: The case with one supplier and competing retailers. Working paper.
8. Bertrand, J. 1883. Théorie mathématique de la richesse sociale. J. Savants 499-508.
9. Bertsekas, D. P. 1995. Nonlinear Programming. Athena Scientific.
10. Besanko, D., S. Gupta, D. Jain. 1998. Logit demand estimation under competitive pricing behavior: An equilibrium framework. Management Sci. 44 1533-1547.
11. Cachon, G. P., P. T. Harker. 2002. Competition and outsourcing with scale economies. Management Sci. 48(10) 1314-1333.
12. Caplin, A., B. Nalebuff. 1991. Aggregation and imperfection competition: On the existence of equilibrium. Econometrica 59 25-59.
13. Chamberlin, E. H. 1933. The Theory of Monopolistic Competition. Harvard University Press, Boston, MA.
14. Cournot, A. 1838. Recherches sur les Principes Mathématiques de la Théorie des Richesses. Macmillan. English ed.: N. Bacon, ed. 1863. Researches into the Mathematical Principles of the Theory of Wealth.
15. Debreu, G. 1960. Book review of Individual Choice Behavior: A Theoretical Analysis. The Amer. Econom. Rev. 50 188-190.
16. Dubey, P., O. Haimanko, A. Zapechelnyuk. 2003. Strategic complements and substitutes, and potential games. Working paper.
17. Edgeworth, F. 1922. The mathematical economies of Professor Amoroso. Econom. J. 32 400-407.
18. Edgeworth, F. 1925. The pure theory of monopoly. Papers Relating to Political Economy 111-142.
19. Friedman, J. 1983. Oligopoly Theory. Cambridge University Press.
20. Hotelling, H. 1929. Stability in competition. Econom. J. 39 41-57.
21. Luce, R. D. 1959. Individual Choice Behavior: A Theoretical Analysis. Wiley.
22. Mahajan, S., G. van Ryzin. 1998. Supply chain contracting and coordination with stochastic demand. S. Tayur, M. Magazine, R. Ganeshan, eds. Ouantitive Models for Supply Chain Management. Kluwer.
23. Medhi, J. 2003. Stochastic Models in Queueing Theory, 2nd ed. Academic Press.
24. Milgrom, P., J. Roberts. 1990. Rationalizability, learning, and equilibrium in games with strategic complementarities. Econometrica 58 1255-1277.
25. Milgrom, P., C. Shannon. 1994. Monotone comparative statics. Econometrica 62 157-180.
26. Mizuno, T. 2003. On the existence of a unique price equilibrium for models of product differentiation. Internat. J. Indust. Organ. 62 761-793.
27. Roberts, J., H. Sonnenschein, 1977. On the foundations of the theory of monopolistic competition. Econometrica 45 101-113.
28. Robinson, J. 1933. The Economics of Imperfect Competition. Macmillan.
29. So, K. C. 2000. Price and time competition for service delivery. Manufacturing Service Oper. Management 2 392-407.
30. Topkis, D. M. 1979. Equilibrium points in nonzero-sum n-person submodular games. SIAM J. Control Optim. 17 773-787.
31. Vives, X. 1985. On the efficiency of Bertrand and Cournot equilibria with product differentiation, J. Econoni. Theory 36 166-175.
32. Vives, X. 1990. Nash equilibrium with strategic complementarities. J. Math. Econom. 305-321.
33. Vives, X. 1999. Oligopoly Pricing: old Ideas and New Tools. MIT Press, Cambridge, MA.