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Notes on a ‘Constructive Proof of the Existence of a Collateral Equilibrium’

Author

Listed:
  • Venkatachalam Ragupathy

    (National Chengchi University (NCCU))

  • K. Vela Velupillai

    (New School for Social Research (NSSR))

Abstract

In an interesting article in this journal, Ma (Comput Econ 45:1–30, 2015), claims that a constructive proof of existence of a Collateral Equilibrium (with a Leontief utility function) is provided in the paper. Moreover, there is also the additional claim that ‘on the basis of this proof, we can (and we shall) develop an algorithm for computing that equilibrium’ (ibid, p. 1). Thirdly, the statements that ‘the algorithm is shown by simulation to be effective’, and its effectiveness is demonstrated by ‘the accuracy of the equilibrium it provided’. These claims are, from a recursion theoretic (or computability theory) point of view, meaningless.

Suggested Citation

  • Venkatachalam Ragupathy & K. Vela Velupillai, 2016. "Notes on a ‘Constructive Proof of the Existence of a Collateral Equilibrium’," Computational Economics, Springer;Society for Computational Economics, vol. 48(1), pages 179-181, June.
    • Handle: RePEc:kap:compec:v:48:y:2016:i:1:d:10.1007_s10614-015-9504-9
    DOI: 10.1007/s10614-015-9504-9
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    References listed on IDEAS

    as
    1. Pradeep Dubey & John Geanakoplos & Martin Shubik, 2005. "Default and Punishment in General Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 1-37, January.
    2. Wei Ma, 2015. "A Constructive Proof of the Existence of Collateral Equilibrium for a Two-Period Exchange Economy Based on a Smooth Interior-Point Path," Computational Economics, Springer;Society for Computational Economics, vol. 45(1), pages 1-30, January.
    3. K. Velupillai, 2015. "Negishi’s Theorem and Method: Computable and Constructive Considerations," Computational Economics, Springer;Society for Computational Economics, vol. 45(2), pages 183-193, February.
    4. Shoven,John B. & Whalley,John, 1992. "Applying General Equilibrium," Cambridge Books, Cambridge University Press, number 9780521266550.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Proof; Constructive; Effective; Existence;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models

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