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Consumer Rationing and the Cournot Outcome

  • Jason J Lepore
Published/Copyright: September 8, 2009
The B.E. Journal of Theoretical Economics
From the journal The B.E. Journal of Theoretical Economics Volume 9 Issue 1

For a symmetric two-stage game, where firms first choose capacities, then compete in prices, Kreps and Scheinkman (Bell Journal of Economics, 1983, 14(2), pp. 326-337) prove that under efficient rationing the Nash equilibrium coincides with the Cournot equilibrium. We extend the model to include asymmetric costs and provide new results showing that the capacity choice game is dominance-solvable, just like the Cournot game. Further, we provide a simple sufficient condition, under which the dominance-solvable result extends to proportional rationing. The results provide new insights into the robustness of Cournot coincidence under alternate demand rationing schemes.

Keywords: Bertrand-Edgeworth; demand rationing; Cournot; judo economics; capacity precommitment
Published Online: 2009-9-8

©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston

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  25. Asymmetric Bertrand-Edgeworth Oligopoly and Mergers
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  27. Representations and Identities for Homogeneous Technologies
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  30. Universal Service Obligations and Competition with Asymmetric Information
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https://doi.org/10.2202/1935-1704.1497
Keywords for this article
Bertrand-Edgeworth; demand rationing; Cournot; judo economics; capacity precommitment

Articles in the same Issue

  1. Advances Article
  2. Private Information of Nonpaternalistic Altruism: Exaggeration and Reciprocation of Generosity
  3. Satisficing: A 'Pretty Good' Heuristic
  4. Optimal Auctions with Simultaneous and Costly Participation
  5. Temptations in General Settings
  6. Learning in Bayesian Games with Binary Actions
  7. Contracting in the Presence of Judicial Agency
  8. Updating Ambiguity Averse Preferences
  9. Competition May Reduce the Revenue in a First Price Auction with Affiliated Private Values
  10. Topics Article
  11. Incentive Schemes in Peer-to-Peer Networks
  12. Why (and When) are Preferences Convex? Threshold Effects and Uncertain Quality
  13. A Two-Step Subsidy Scheme to Overcome Network Externalities in a Dynamic Game
  14. Oligopolistic Certification
  15. Envy-Free and Efficient Minimal Rights: Recursive No-Envy
  16. Risk Premiums versus Waiting-Options Premiums: A Simple Numerical Example
  17. Inflation, Self Insurance and the Friedman Rule in Economies with Uninsurable Idiosyncratic Risks
  18. Advertising and Cost Reduction
  19. Directed Search, Rationing and Wage Dispersion
  20. Optimism and Bargaining Inefficiency
  21. Fair Depreciation: A Shapley Value Approach
  22. Product Variety, Scale Economies, and Environmental Taxes
  23. Market Competition and Lower Tier Incentives
  24. Vertical Differentiation, Social Networks and Compatibility Decisions
  25. Asymmetric Bertrand-Edgeworth Oligopoly and Mergers
  26. Consumer Rationing and the Cournot Outcome
  27. Representations and Identities for Homogeneous Technologies
  28. Monitoring Gains and Decentralization
  29. Cross-Cultural Trade and Institutional Stability
  30. Universal Service Obligations and Competition with Asymmetric Information
  31. A Duopoly Model of Political Agency with Applications to Anti-Corruption Reform
  32. Simple Economies with Multiple Equilibria
  33. A Note on Herbert Gintis' "Emergence of a Price System from Decentralized Bilateral Exchange"
  34. Contributions Article
  35. Continuous Preferences and Discontinuous Choices: How Altruists Respond to Incentives
  36. Reputation, Career Concerns, and Job Assignments
  37. Fluctuations in Overlapping Generations Economies
  38. Principal and Expert Agent
  39. Sale of a Deteriorating Asset via Sequential Search
  40. The Efficiency of Observability and Mutual Linkage
  41. A Positive Theory of Income Taxation
  42. Supply Theory sans Profit Maximization
  43. The Dynamics of Collective Reputation
  44. Identifying Community Structures from Network Data via Maximum Likelihood Methods
  45. Income Distribution, Market Structure, and Individual Welfare
  46. Free Riding in Combinatorial First-Price Sealed-Bid Auctions
  47. Geometric Asymptotic Approximation of Value Functions
  48. Sequential Auctions with Multi-Unit Demands
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