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Equivalence of Utilitarian Maximal and Weakly Maxmal Programs

Author

Listed:
  • Banerjee, Kuntal

    (Florida Atlantic University)

  • Mitra, Tapan

    (Cornell University)

Abstract

For a class of aggregative optimal growth models, which allow for a non-convex and non-differentiable production technology, this paper examines whether the set of utilitarian maximal programs coincides with the set of weakly maximal programs. It identifies a condition, called the Phelps-Koopmans condition, under which the equivalence result holds. An example is provided to demonstrate that the equivalence result is invalid when the Phelps-Koopmans condition does not hold.

Suggested Citation

  • Banerjee, Kuntal & Mitra, Tapan, 2009. "Equivalence of Utilitarian Maximal and Weakly Maxmal Programs," Working Papers 09-03, Cornell University, Center for Analytic Economics.
    • Handle: RePEc:ecl:corcae:09-03
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    File URL: https://cae.economics.cornell.edu/09-03.pdf
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    Cited by:

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    2. Ram Sewak Dubey & Francesco Ruscitti, 2024. "Fair Allocations in an Overlapping Generations Economy," Studies in Microeconomics, , vol. 12(2), pages 172-199, August.
    3. Augeraud-Veron, Emmanuelle & Boucekkine, Raouf & Gozzi, Fausto & Venditti, Alain & Zou, Benteng, 2024. "Fifty years of mathematical growth theory: Classical topics and new trends," Journal of Mathematical Economics, Elsevier, vol. 111(C).

    More about this item

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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