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Market exchange models and geometric programming

Author

Listed:
  • Marianna Eisenberg-Nagy

    (Budapest University of Technology and Economics, Institute of Mathematics)

  • Tibor Illés

    (Budapest University of Technology and Economics, Institute of Mathematics)

  • Gábor Lovics

    (Budapest University of Technology and Economics, Institute of Mathematics)

Abstract

Finding the equilibrium solution of the Market Exchange Models is an interesting topic. Here we discuss some relationship of the Fisher type Homogenous Market Exchange Model and the Geometric Programming. We also discuss that the equilibrium solution of the Linear and Cobb–Douglas Market Exchange Model as two special cases of the Homogenous Market Exchange Model can be found by Geometric Programming in polynomial time.

Suggested Citation

  • Marianna Eisenberg-Nagy & Tibor Illés & Gábor Lovics, 2019. "Market exchange models and geometric programming," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 27(2), pages 415-435, June.
    • Handle: RePEc:spr:cejnor:v:27:y:2019:i:2:d:10.1007_s10100-018-0582-3
    DOI: 10.1007/s10100-018-0582-3
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    References listed on IDEAS

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    1. Adrienn Csizmadia & Zsolt Csizmadia & Tibor Illés, 2018. "Finiteness of the quadratic primal simplex method when s-monotone index selection rules are applied," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 26(3), pages 535-550, September.
    2. E. Eisenberg, 1961. "Aggregation of Utility Functions," Management Science, INFORMS, vol. 7(4), pages 337-350, July.
    3. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    4. Devanur, Nikhil R. & Garg, Jugal & Végh, László A., 2016. "A rational convex program for linear Arrow-Debreu markets," LSE Research Online Documents on Economics 69224, London School of Economics and Political Science, LSE Library.
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