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Cost asymmetry and the R&D investment-decision game

Author

Listed:
  • Emanuel Namaiwa Barke

    (Université Marie et Louis Pasteur, CRESE UR3190, F-25000 Besançon, France)

  • Khaireddine Jebsi

    (Université de Sousse, LAMIDED, Tunisia)

Abstract

This paper studies the R&D investment-decision game in a Cournot duopoly with ex ante asymmetric production costs. Firms first decide whether to participate in process R&D and, conditional on participation, subsequently choose their costreducing R&D efforts. Despite cost heterogeneity, investing is a strictly dominant strategy for both firms, so bilateral R&D is the unique participation equilibrium. Cost asymmetry nevertheless changes the nature of this outcome. When firms are sufficiently similar, bilateral R&D may constitute a prisoner’s dilemma; as the initial cost gap widens, the dilemma breaks down asymmetrically, with the initially efficient firm preferring bilateral investment while the inefficient firm continues to prefer mutual non-investment. Cost asymmetry also reallocates R&D effort toward the initially efficient firm. The welfare analysis reveals a further wedge between private and social incentives: although bilateral R&D maximizes aggregate R&D and consumer surplus, social surplus may be higher when innovation is concentrated in the initially efficient firm. Extending the model to technological spillovers leaves bilateral participation as the unique equilibrium but changes the private desirability of joint R&D.

Suggested Citation

  • Emanuel Namaiwa Barke & Khaireddine Jebsi, 2026. "Cost asymmetry and the R&D investment-decision game," Working Papers 2026-14, CRESE.
  • Handle: RePEc:crb:wpaper:2026-14
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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives
    • O32 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Management of Technological Innovation and R&D

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