IDEAS home Printed from https://ideas.repec.org/a/wly/jmoncb/v48y2016i7p1547-1561.html
   My bibliography  Save this article

Mixed Integer Programming Revealed Preference Tests of Utility Maximization and Weak Separability of Consumption, Leisure, and Money

Author

Listed:
  • PER HJERTSTRAND
  • JAMES L. SWOFFORD
  • GERALD A. WHITNEY

Abstract

Swofford and Whitney (1987, 1988, 1994) investigated the validity of two key assumptions underlying representative agent models of macroeconomics. These assumptions are utility maximization and weak separability. Using mixed integer programming, we check revealed preference conditions for these assumptions. We find that M1, money defined by Friedman and Schwartz (1963), and a broad aggregate are weakly separable. We find that consumption goods and leisure and nondurables and services are weakly separable. We find that M2, M3, and MZM are not weakly separable. Finally, we find three categories of consumption, durables, nondurables and services, do not form an aggregate.

Suggested Citation

  • Per Hjertstrand & James L. Swofford & Gerald A. Whitney, 2016. "Mixed Integer Programming Revealed Preference Tests of Utility Maximization and Weak Separability of Consumption, Leisure, and Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 48(7), pages 1547-1561, October.
    • Handle: RePEc:wly:jmoncb:v:48:y:2016:i:7:p:1547-1561
    DOI: 10.1111/jmcb.12342
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/jmcb.12342
    Download Restriction: no
    File URL: https://libkey.io/10.1111/jmcb.12342?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    2. Barnett, William A. & Chauvet, Marcelle, 2011. "How better monetary statistics could have signaled the financial crisis," Journal of Econometrics, Elsevier, vol. 161(1), pages 6-23, March.
    3. Hjertstrand, Per, 2008. "A Monte Carlo Study of the Necessary and Sufficient Conditions for Weak Separability," Working Papers 2008:10, Lund University, Department of Economics, revised 11 Sep 2008.
    4. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram & Hjertstrand, Per, 2015. "Revealed preference tests for weak separability: An integer programming approach," Journal of Econometrics, Elsevier, vol. 186(1), pages 129-141.
    5. William A. Barnett, 2000. "Economic Monetary Aggregates: An Application of Index Number and Aggregation Theory," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 11-48, Emerald Group Publishing Limited.
    6. Apostolos Serletis & Periklis Gogas, 2014. "Divisia Monetary Aggregates, the Great Ratios, and Classical Money Demand Functions," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 46(1), pages 229-241, February.
    7. Diewert, W. E. & Parkan, C., 1985. "Tests for the consistency of consumer data," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 127-147.
    8. Milton Friedman & Anna J. Schwartz, 1963. "A Monetary History of the United States, 1867–1960," NBER Books, National Bureau of Economic Research, Inc, number frie63-1, March.
    9. Swofford, James L & Whitney, Gerald A, 1987. "Nonparametric Tests of Utility Maximization and Weak Separability for Consumption, Leisure and Money," The Review of Economics and Statistics, MIT Press, vol. 69(3), pages 458-464, August.
    10. Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762.
    11. Elger, Thomas & Jones, Barry E., 2008. "Can rejections of weak separability be attributed to random measurement errors in the data?," Economics Letters, Elsevier, vol. 99(1), pages 44-47, April.
    12. Hal R. Varian, 1983. "Non-parametric Tests of Consumer Behaviour," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(1), pages 99-110.
    13. Swofford, James L & Whitney, Gerald A, 1986. "Flexible Functional Forms and the Utility Approach to the Demand for Money: A Nonparametric Analysis: A Note," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 18(3), pages 383-389, August.
    14. Swofford, James L. & Whitney, Gerald A., 1994. "A revealed preference test for weakly separable utility maximization with incomplete adjustment," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 235-249.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Serletis, Apostolos & Xu, Libo, 2021. "Consumption, Leisure, And Money," Macroeconomic Dynamics, Cambridge University Press, vol. 25(6), pages 1412-1441, September.
    2. Smeulders, Bart & Crama, Yves & Spieksma, Frits C.R., 2019. "Revealed preference theory: An algorithmic outlook," European Journal of Operational Research, Elsevier, vol. 272(3), pages 803-815.
    3. William A. Barnett & Neepa B. Gaekwad, 2018. "The Demand for Money for EMU: a Flexible Functional Form Approach," Open Economies Review, Springer, vol. 29(2), pages 353-371, April.
    4. Hjertstrand, Per & Swofford, James L. & Whitney, Gerald A., 2020. "Testing for Weak Separability and Utility Maximization with Incomplete Adjustment," Working Paper Series 1327, Research Institute of Industrial Economics, revised 30 May 2023.
    5. Libo Xu & Apostolos Serletis, 2022. "The Demand for Assets: Evidence from the Markov Switching Normalized Quadratic Model," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 54(4), pages 989-1025, June.
    6. Hjertstrand, Per & Swofford, James L. & Whitney, Gerald A., 2023. "Testing for Weak Separability and Utility Maximization with Incomplete Adjustment," Journal of Economic Dynamics and Control, Elsevier, vol. 152(C).
    7. Anderson, Richard G. & Duca, John V. & Fleissig, Adrian R. & Jones, Barry E., 2019. "New monetary services (Divisia) indexes for the post-war U.S," Journal of Financial Stability, Elsevier, vol. 42(C), pages 3-17.
    8. Serletis, Apostolos & Xu, Libo, 2021. "The welfare cost of inflation," Journal of Economic Dynamics and Control, Elsevier, vol. 128(C).
    9. Hjertstrand, Per & Swofford, James L., 2019. "Revealed preference tests of indirect and homothetic weak separability of financial assets, consumption and leisure," Journal of Financial Stability, Elsevier, vol. 42(C), pages 108-114.
    10. Serletis, Apostolos & Xu, Libo, 2023. "Consumer preferences, the demand for Divisia money, and the welfare costs of inflation," Journal of Macroeconomics, Elsevier, vol. 75(C).
    11. Demuynck, Thomas & Hjertstrand, Per, 2019. "Samuelson's Approach to Revealed Preference Theory: Some Recent Advances," Working Paper Series 1274, Research Institute of Industrial Economics.
    12. Hjertstrand, Per & Swofford, James L. & Whitney, Gerald A., 2019. "Index Numbers and Revealed Preference Rankings," Working Paper Series 1308, Research Institute of Industrial Economics.
    13. Binner, Jane M. & Chaudhry, Sajid & Kelly, Logan & Swofford, James L., 2018. "“Risky” monetary aggregates for the UK and US," Journal of International Money and Finance, Elsevier, vol. 89(C), pages 127-138.
    14. Adrian R. Fleissig & James L. Swofford, 2023. "Habit persistence in assets demand," Southern Economic Journal, John Wiley & Sons, vol. 89(3), pages 975-985, January.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hjertstrand, Per & Swofford, James L., 2019. "Revealed preference tests of indirect and homothetic weak separability of financial assets, consumption and leisure," Journal of Financial Stability, Elsevier, vol. 42(C), pages 108-114.
    2. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram & Hjertstrand, Per, 2015. "Revealed preference tests for weak separability: An integer programming approach," Journal of Econometrics, Elsevier, vol. 186(1), pages 129-141.
    3. Serletis, Apostolos & Xu, Libo, 2021. "Consumption, Leisure, And Money," Macroeconomic Dynamics, Cambridge University Press, vol. 25(6), pages 1412-1441, September.
    4. Sato, Hideyasu & 佐藤, 秀保, 2020. "Do Large-scale Point-of-sale Data Satisfy the Generalized Axiom of Revealed Preference in Aggregation Using Representative Price Indexes?: A Case Involving Processed Food and Beverages," RCESR Discussion Paper Series DP19-2, Research Center for Economic and Social Risks, Institute of Economic Research, Hitotsubashi University.
    5. Hjertstrand, Per & Swofford, James L. & Whitney, Gerald A., 2019. "Index Numbers and Revealed Preference Rankings," Working Paper Series 1308, Research Institute of Industrial Economics.
    6. Barry E. Jones & Livio Stracca, 2008. "Does Money Matter In The Is Curve? The Case Of The Uk," Manchester School, University of Manchester, vol. 76(s1), pages 58-84, September.
    7. Bergh , Andreas & Nilsson, Therese, 2008. "Do economic liberalization and globalization increase income inequality?," Working Papers 2008:12, Lund University, Department of Economics.
    8. Matthew Polisson, 2018. "A lattice test for additive separability," IFS Working Papers W18/08, Institute for Fiscal Studies.
    9. Ian Crawford & Bram De Rock, 2014. "Empirical Revealed Preference," Annual Review of Economics, Annual Reviews, vol. 6(1), pages 503-524, August.
    10. Binner, Jane M. & Bissoondeeal, Rakesh K. & Elger, C. Thomas & Jones, Barry E. & Mullineux, Andrew W., 2009. "Admissible monetary aggregates for the euro area," Journal of International Money and Finance, Elsevier, vol. 28(1), pages 99-114, February.
    11. Hjertstrand, Per, 2013. "A Simple Method to Account for Measurement Errors in Revealed Preference Tests," Working Paper Series 990, Research Institute of Industrial Economics.
    12. Demuynck, Thomas & Hjertstrand, Per, 2019. "Samuelson's Approach to Revealed Preference Theory: Some Recent Advances," Working Paper Series 1274, Research Institute of Industrial Economics.
    13. Hjertstrand, Per & L. Swofford, James & Whitney, Gerald A., 2013. "Revealed Preference Tests of Utility Maximization and Weak Separability of Consumption, Leisure and Money with Incomplete Adjustment," Working Paper Series 971, Research Institute of Industrial Economics.
    14. James L Swofford, 2000. "Microeconomic foundations of an optimal currency area," Review of Financial Economics, John Wiley & Sons, vol. 9(2), pages 121-128, December.
    15. Anderson, Richard G. & Duca, John V. & Fleissig, Adrian R. & Jones, Barry E., 2019. "New monetary services (Divisia) indexes for the post-war U.S," Journal of Financial Stability, Elsevier, vol. 42(C), pages 3-17.
    16. Jones, Barry E. & Dutkowsky, Donald H. & Elger, Thomas, 2005. "Sweep programs and optimal monetary aggregation," Journal of Banking & Finance, Elsevier, vol. 29(2), pages 483-508, February.
    17. Ali Jadidzadeh & Apostolos Serletis, 2019. "The Demand for Assets and Optimal Monetary Aggregation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(4), pages 929-952, June.
    18. Smeulders, Bart & Crama, Yves & Spieksma, Frits C.R., 2019. "Revealed preference theory: An algorithmic outlook," European Journal of Operational Research, Elsevier, vol. 272(3), pages 803-815.
    19. Jones, Barry E. & Stracca, Livio, 2006. "Are money and consumption additively separable in the euro area? A non-parametric approach," Working Paper Series 704, European Central Bank.
    20. Hjertstrand, Per & Jones, Barry E., 2013. "What Do Revealed Preference Axioms Reveal about Elasticities of Demand?," Working Paper Series 972, Research Institute of Industrial Economics.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jmoncb:v:48:y:2016:i:7:p:1547-1561. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0022-2879 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.