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R&D games in a Cournot duopoly with isoelastic demand functions: A comment

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  • Luckraz, Shravan

Abstract

In a recent paper, Tramontana (Economic Modelling, 27; 350–357, 2010) investigates the stability properties of a Cournot Duopoly game when the demand function is isoelastic. In this note, we show that for some well known applications of two-stage Cournot games (D. Aspremont and Jacquemin, American Economic Review, 78, 1122–1137, 1988) an isoelastic demand function can guarantee both the existence and the uniqueness of a Nash Equilibrium even in cases where existence is not obtained with linear demands.

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  • Luckraz, Shravan, 2011. "R&D games in a Cournot duopoly with isoelastic demand functions: A comment," Economic Modelling, Elsevier, vol. 28(6), pages 2873-2876.
    • Handle: RePEc:eee:ecmode:v:28:y:2011:i:6:p:2873-2876
    DOI: 10.1016/j.econmod.2011.07.019
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    References listed on IDEAS

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    1. d'Aspremont, Claude & Jacquemin, Alexis, 1988. "Cooperative and Noncooperative R&D in Duopoly with Spillovers," American Economic Review, American Economic Association, vol. 78(5), pages 1133-1137, December.
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    13. Tramontana, Fabio, 2010. "Heterogeneous duopoly with isoelastic demand function," Economic Modelling, Elsevier, vol. 27(1), pages 350-357, January.
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    Cited by:

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    2. Ishikawa, Nana & Shibata, Takashi, 2021. "R&D competition and cooperation with asymmetric spillovers in an oligopoly market," International Review of Economics & Finance, Elsevier, vol. 72(C), pages 624-642.
    3. Yap, Yee Jiun & Luckraz, Shravan & Tey, Siew Kian, 2014. "Long-term research and development incentives in a dynamic Cournot duopoly," Economic Modelling, Elsevier, vol. 39(C), pages 8-18.

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    More about this item

    Keywords

    R&D spillovers; Isoelastic demand; Cournot duopoly;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • 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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