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A Note on Commodity Taxation: The Choice of Variable and the Slutsky, Hessian and Antonelli Matrices (SHAM)

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  • Nicholas Stern

Abstract

Policy problems require the specification of government choice variables, which may be prices or quantities, and the representation of preferences e.g. direct utility or distance functions. The purpose of this note is to provide an appropriate framework for switches between different descriptions of the optimization problem. We first assemble the relevant results on the matrices (Slutsky, Hessian and Antonelli) which arise in the different formulations. We then use the results to show the relationships between various analyses in the literature and finally point out how the results, whilst formally equivalent can lead to different emphases and interpretations (or misinterpretations).

Suggested Citation

  • Nicholas Stern, 1986. "A Note on Commodity Taxation: The Choice of Variable and the Slutsky, Hessian and Antonelli Matrices (SHAM)," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(2), pages 293-299.
    • Handle: RePEc:oup:restud:v:53:y:1986:i:2:p:293-299.
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    Citations

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    Cited by:

    1. Stefan Homburg, 2004. "A New Approach to Optimal Commodity Taxation," CESifo Working Paper Series 1231, CESifo.
    2. Stefan Homburg, 2006. "A New Approach to Optimal Commodity Taxation," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 62(3), pages 323-338, September.
    3. Kesavan, Thulasiram, 1988. "Monte Carlo experiments of market demand theory," ISU General Staff Papers 198801010800009854, Iowa State University, Department of Economics.
    4. J. Peter Neary, 1998. "Pitfalls in the Theory of International Trade Policy: Concertina Reforms of Tariffs, and Subsidies to High‐Technology Industries," Scandinavian Journal of Economics, Wiley Blackwell, vol. 100(1), pages 187-206, March.
    5. Ming Chung Chang & Shufen Wu, 2011. "Should Marginal Cost of Public Funds include the Revenue Effect?," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 147(I), pages 1-16, March.
    6. Bjørn Sandvik, 2003. "Optimal Taxation and Normalisations," CESifo Working Paper Series 1025, CESifo.
    7. Ming Chang, 1996. "Ramsey pricing in a hierarchical structure with an application to network-access pricing," Journal of Economics, Springer, vol. 64(3), pages 281-314, October.
    8. Ming Chung Chang & Hsiao-Ping Peng & Yan-Ching Ho, 2016. "The Social Marginal Cost Curve and a Corner Solution of the Second-Best Level of Public Good Provision: A Review and an Extension," Swiss Journal of Economics and Statistics, Springer;Swiss Society of Economics and Statistics, vol. 152(3), pages 209-241, July.
    9. Robert Nau, 2011. "Risk, ambiguity, and state-preference theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 437-467, October.
    10. James E. Anderson, 1991. "The Coefficient of Trade Utilization: The Cheese Case," NBER Chapters, in: Empirical Studies of Commercial Policy, pages 221-244, National Bureau of Economic Research, Inc.
    11. Ming Chung Chang & Hsiao-Ping Peng & Yan-Ching Ho, 2016. "The Social Marginal Cost Curve and a Corner Solution of the Second-best Level of Public Good Provision: A Review and an Extension," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 152(III), pages 209-241, September.

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