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On the Tacit Collusion Equilibria of an Investment Timing Game

Author

Listed:
  • Richard Ruble

    (EMLYON Business School, Ecully, F-69134, France)

  • Bruno Versaevel

    (EMLYON Business School, Ecully, F-69134, France; and GATE, CNRS, Ecully, F-69130)

Abstract

This note further characterizes the tacit collusion equilibria in the investment timing game of Boyer, Lasserre and Moreaux [1]. Tacit collusion equilibria may or may not exist, and when they do may involve either finite time investments (type 1) or infinite delay (type 2). The relationship between equilibria and common demand forms is not immediately apparent. We provide the full necessary and sufficient conditions for existence. A simple condition on demand primitives is derived that determines the type of equilibria. Common demand forms are then shown to illustrate both finite-time and infinite-delay tacit collusion.

Suggested Citation

  • Richard Ruble & Bruno Versaevel, 2008. "On the Tacit Collusion Equilibria of an Investment Timing Game," Working Papers 0834, Groupe d'Analyse et de Théorie Economique Lyon St-Etienne (GATE Lyon St-Etienne), Université de Lyon.
  • Handle: RePEc:gat:wpaper:0834
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    References listed on IDEAS

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    1. Marcel Boyer & Pierre Lasserre & Michel Moreaux, 2007. "The Dynamics of Industry Investments," CIRANO Working Papers 2007s-09, CIRANO.
    2. Drew Fudenberg & Jean Tirole, 1985. "Preemption and Rent Equalization in the Adoption of New Technology," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(3), pages 383-401.
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    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D92 - Microeconomics - - Micro-Based Behavioral Economics - - - Intertemporal Firm Choice, Investment, Capacity, and Financing
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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