IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/6442.html

An Expository Note on Alchian-Allen Theorem When Sub-Utility Functions are Homogeneous of Degree n ą 0

Author

Listed:
  • Saito, Tetsuya

Abstract

This expository note shows Alchian and Allen’s conjecture–consumers purchase fine quality relatively more than coarse one– is true under some specific conditions about homogeneity, inner solution and substitutability while allowing the influence of the income effect. In the proof, to be an exposition, I emphasize graphical representations of Alchian-Allen Theorem than algebra.

Suggested Citation

  • Saito, Tetsuya, 2007. "An Expository Note on Alchian-Allen Theorem When Sub-Utility Functions are Homogeneous of Degree n ą 0," MPRA Paper 6442, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:6442
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/6442/1/MPRA_paper_6442.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Gould, John P & Segall, Joel, 1969. "The Substitution Effects of Transportation Costs," Journal of Political Economy, University of Chicago Press, vol. 77(1), pages 130-137, Jan./Feb..
    2. Umbeck, John, 1980. "Shipping the Good Apples Out: Some Ambiguities in the Interpretation of "Fixed Charge"," Journal of Political Economy, University of Chicago Press, vol. 88(1), pages 199-208, February.
    3. Hicks, J. R., 1975. "Value and Capital: An Inquiry into some Fundamental Principles of Economic Theory," OUP Catalogue, Oxford University Press, edition 2, number 9780198282693.
    4. Borcherding, Thomas E & Silberberg, Eugene, 1978. "Shipping the Good Apples Out: The Alchian and Allen Theorem Reconsidered," Journal of Political Economy, University of Chicago Press, vol. 86(1), pages 131-138, February.
    Full references (including those not matched with items on IDEAS)

    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. repec:ebl:ecbull:v:6:y:2008:i:30:p:1-12 is not listed on IDEAS
    2. Bertonazzi, Eric P & Maloney, Michael T & McCormick, Robert E, 1993. "Some Evidence on the Alchian and Allen Theorem: The Third Law of Demand?," Economic Inquiry, Western Economic Association International, vol. 31(3), pages 383-393, July.
    3. Minagawa, Junichi & Upmann, Thorsten, 2013. "A note on parental time allocation," Labour Economics, Elsevier, vol. 25(C), pages 153-157.
    4. repec:ebl:ecbull:v:10:y:2002:i:1:p:1-14 is not listed on IDEAS
    5. William Smith & Cyril Chang, 2002. "Shipping the good apples out: a note on contributions of time and money," Economics Bulletin, AccessEcon, vol. 10(1), pages 1-14.
    6. Dennis W. Carlton & Alan S. Frankel & Elisabeth M. Landes, 2004. "The Control of Externalities in Sports Leagues: An Analysis of Restrictions in the National Hockey League," Journal of Political Economy, University of Chicago Press, vol. 112(S1), pages 268-288, February.
    7. Jean Eid & Travis Ng & Terence Tai-Leung Chong, 2013. "Shipping the Good Horses Out," Southern Economic Journal, John Wiley & Sons, vol. 80(2), pages 540-561, October.
    8. David Hummels & Alexandre Skiba, 2004. "Shipping the Good Apples Out? An Empirical Confirmation of the Alchian-Allen Conjecture," Journal of Political Economy, University of Chicago Press, vol. 112(6), pages 1384-1402, December.
    9. James, Jennifer S., "undated". "Quality Responses to Agricultural Policies," 1999 Annual meeting, August 8-11, Nashville, TN 271488, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    10. Charlotte Emlinger & Viola Lamani, 2020. "International trade, quality sorting and trade costs: the case of Cognac," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 156(3), pages 579-609, August.
    11. Julien Gradoz & Erwin Dekker, 2025. "The regulation of repugnant goods and the limits of the Alchian–Allen effect," European Journal of Law and Economics, Springer, vol. 59(1), pages 1-18, February.
    12. Liu, Liqun, 2011. "The Alchian-Allen theorem and the law of relative demand: The case of multiple quality-differentiable brands," Mathematical Social Sciences, Elsevier, vol. 61(1), pages 52-57, January.
    13. Minagawa, Junichi & Upmann, Thorsten, 2013. "A conditional demand approach to the Alchian–Allen effect," Economics Letters, Elsevier, vol. 120(3), pages 546-551.
    14. Blum, Bianca, 2018. "Ausgestaltung einer Steuerpolitik zur Förderung von LED-Beleuchtung," The Constitutional Economics Network Working Papers 01-2018, University of Freiburg, Department of Economic Policy and Constitutional Economic Theory.
    15. repec:wvu:wpaper:05-11 is not listed on IDEAS
    16. Derek Neal, 2004. "The Measured Black-White Wage Gap among Women Is Too Small," Journal of Political Economy, University of Chicago Press, vol. 112(S1), pages 1-28, February.
    17. Vedrashko, Alexander & Smith, Vincent H., 1998. "Perfect Substitutes: A Note On The Alchian-Allen Hypothesis," Research Discussion Papers 29245, Montana State University, Department of Agricultural Economics and Economics, Trade Research Center.
    18. Mara Giua & Luca Salvatici & Cristina Vaquero-Piñeiro & Roberto Solazzo, 2025. "Do Territories with Geographical Indications Trade Better?," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 11(1), pages 31-64, March.
    19. Minagawa, Junichi, 2012. "On Giffen-like goods," Economics Letters, Elsevier, vol. 115(2), pages 282-285.
    20. R. Morris Coats & Gary M. Pecquet & Leon Taylor, 2005. "The pricing of gasoline grades and the third law of demand," Microeconomics 0506006, University Library of Munich, Germany.
    21. Gibson, John & Kim, Bonggeun, 2015. "Hicksian separability does not hold over space: Implications for the design of household surveys and price questionnaires," Journal of Development Economics, Elsevier, vol. 114(C), pages 34-40.
    22. James, Jennifer S., 1999. "Endogenous Quality And Agricultural Policy Analysis," 1999 Annual meeting, August 8-11, Nashville, TN 21634, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    23. Saito, Tetsuya, 2007. "Shipping the Good Apples Out: Another Proof with A Graphical Representation," MPRA Paper 1297, University Library of Munich, Germany.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    JEL classification:

    • F10 - International Economics - - Trade - - - General
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles

    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:pra:mprapa:6442. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.