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An Evolutionary Analysis of Growth and Fluctuations with Negative Externalities

Author

Listed:
  • Anindya S. Chakrabarti

    (Indian Institute of Management Ahmedabad)

  • Ratul Lahkar

    (Indian Institute of Management Udaipur)

Abstract

We present an evolutionary game theoretic model of growth and fluctuations with negative externalities. Agents in a population choose the level of input. Total output is a function of aggregate input and a productivity parameter. The model, which is equivalent to a tragedy of the commons, constitutes an aggregative potential game with negative externalities. Aggregate input at the Nash equilibrium is inefficiently high causing aggregate payoff to be suboptimally low. Simulations with the logit dynamic reveal that while the aggregate input increases monotonically from an initial low level, aggregate payoff may decline from the corresponding high level. Hence, a positive technology shock causes a rapid initial increase in aggregate payoff, which is unsustainable as agents increase aggregate input to the inefficient equilibrium level. Aggregate payoff, therefore, declines subsequently. A sequence of exogenous shocks, therefore, generates a sustained pattern of growth and fluctuations in aggregate payoff.

Suggested Citation

  • Anindya S. Chakrabarti & Ratul Lahkar, 2018. "An Evolutionary Analysis of Growth and Fluctuations with Negative Externalities," Dynamic Games and Applications, Springer, vol. 8(4), pages 733-760, December.
    • Handle: RePEc:spr:dyngam:v:8:y:2018:i:4:d:10.1007_s13235-017-0234-6
    DOI: 10.1007/s13235-017-0234-6
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    References listed on IDEAS

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    Cited by:

    1. Sarvesh Bandhu & Ratul Lahkar, 2022. "A Large Population Approach to Implementing Efficiency with Minimum Inequality," Working Papers 76, Ashoka University, Department of Economics.
    2. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
    3. Luis C. Corchón, 2021. "Aggregative games," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 12(1), pages 49-71, March.

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    More about this item

    Keywords

    Business cycles; Potential games; Logit dynamic; Negative externality;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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