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Slutsky Matrix Symmetry: A New Behavioral Condition

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Abstract

The Slutsky matrix function encodes all the information about local variations in demand with respect to small (Slutsky) compensated price changes. When the demand function is the result of utility maximization the Slutsky matrix is symmetric. However, symmetry does not imply rationality. Here, we provide a necessary and sufficient condition for Slutsky symmetry. The new condition requires symmetric attention to compensated price-paths.

Suggested Citation

  • Victor H. Aguiar & Roberto Serrano, 2022. "Slutsky Matrix Symmetry: A New Behavioral Condition," University of Western Ontario, Departmental Research Report Series 20228, University of Western Ontario, Department of Economics.
    • Handle: RePEc:uwo:uwowop:20228
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    File URL: https://ir.lib.uwo.ca/cgi/viewcontent.cgi?article=1850&context=economicsresrpt
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    Keywords

    Utility Maximization; Slutsky Matrix;

    JEL classification:

    • C50 - Mathematical and Quantitative Methods - - Econometric Modeling - - - General
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior

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