IDEAS home Printed from https://ideas.repec.org/a/spr/etbull/v11y2023i2d10.1007_s40505-023-00258-2.html
   My bibliography  Save this article

On the shape of Pareto sets in Edgeworth box economies

Author

Listed:
  • William Thomson

    (University of Rochester)

Abstract

We study the geometry of the Pareto set in Edgeworth box economies when both agents have continuous, strictly monotonic, strictly convex, smooth, and homothetic preferences. We show that this set is either the diagonal of the box or it is a “doubly visible” curve connecting the origins of the box: imagining the curve to be opaque, an observer standing at either origin is able to see it in its entirety. We also study the case of preferences for which both goods are normal at all prices. In this case, we deduce monotonicity of the Pareto set. We also state a “converse” of each of these statements.

Suggested Citation

  • William Thomson, 2023. "On the shape of Pareto sets in Edgeworth box economies," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(2), pages 181-190, October.
  • Handle: RePEc:spr:etbull:v:11:y:2023:i:2:d:10.1007_s40505-023-00258-2
    DOI: 10.1007/s40505-023-00258-2
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s40505-023-00258-2
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s40505-023-00258-2?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ju, Biung-Ghi, 2005. "Strategy-proof risk sharing," Games and Economic Behavior, Elsevier, vol. 50(2), pages 225-254, February.
    2. William Thomson, 1999. "Economies with Public Goods: An Elementary Geometric Exposition," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(1), pages 139-176, January.
    3. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    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. Wright, Austin L. & Sonin, Konstantin & Driscoll, Jesse & Wilson, Jarnickae, 2020. "Poverty and economic dislocation reduce compliance with COVID-19 shelter-in-place protocols," Journal of Economic Behavior & Organization, Elsevier, vol. 180(C), pages 544-554.
    2. Janvier D. Nkurunziza, 2005. "Reputation and Credit without Collateral in Africa`s Formal Banking," Economics Series Working Papers WPS/2005-02, University of Oxford, Department of Economics.
    3. Vadim Borokhov, 2014. "On the properties of nodal price response matrix in electricity markets," Papers 1404.3678, arXiv.org, revised Jan 2015.
    4. Gan, Li & Ju, Gaosheng & Zhu, Xi, 2015. "Nonparametric estimation of structural labor supply and exact welfare change under nonconvex piecewise-linear budget sets," Journal of Econometrics, Elsevier, vol. 188(2), pages 526-544.
    5. Peterson, Jeffrey M. & Boisvert, Richard N. & de Gorter, Harry, 1999. "Multifunctionality and Optimal Environmental Policies for Agriculture in an Open Economy," Working Papers 127701, Cornell University, Department of Applied Economics and Management.
    6. Aldasoro, Iñaki & Delli Gatti, Domenico & Faia, Ester, 2017. "Bank networks: Contagion, systemic risk and prudential policy," Journal of Economic Behavior & Organization, Elsevier, vol. 142(C), pages 164-188.
    7. Gatti, Nicolas & Cecil, Michael & Baylis, Kathy & Estes, Lyndon & Blekking, Jordan & Heckelei, Thomas & Vergopolan, Noemi & Evans, Tom, 2023. "Is closing the agricultural yield gap a “risky” endeavor?," Agricultural Systems, Elsevier, vol. 208(C).
    8. Chorvat, Terrence, 2006. "Taxing utility," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 35(1), pages 1-16, February.
    9. Delgado, Michael S. & Khanna, Neha, 2015. "Voluntary Pollution Abatement and Regulation," Agricultural and Resource Economics Review, Cambridge University Press, vol. 44(1), pages 1-20, April.
    10. Bhattacharya, D., 2018. "Income Effects and Rationalizability in Multinomial Choice Models," Cambridge Working Papers in Economics 1884, Faculty of Economics, University of Cambridge.
    11. List, Christian & Polak, Ben, 2010. "Introduction to judgment aggregation," Journal of Economic Theory, Elsevier, vol. 145(2), pages 441-466, March.
    12. Franke, Jörg & Leininger, Wolfgang & Wasser, Cédric, 2018. "Optimal favoritism in all-pay auctions and lottery contests," European Economic Review, Elsevier, vol. 104(C), pages 22-37.
    13. Che-Yuan Liang, 2017. "Optimal inequality behind the veil of ignorance," Theory and Decision, Springer, vol. 83(3), pages 431-455, October.
    14. Shino, Junnosuke, 2013. "A positive theory of fixed-rate funds-supplying operations in an accommodative financial environment," Journal of International Money and Finance, Elsevier, vol. 32(C), pages 595-610.
    15. Peysakhovich, Alexander & Plagborg-Møller, Mikkel, 2012. "A note on proper scoring rules and risk aversion," Economics Letters, Elsevier, vol. 117(1), pages 357-361.
    16. Badics, Tamás, 2011. "Az arbitrázs preferenciákkal történő karakterizációjáról [On the characterization of arbitrage in terms of preferences]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(9), pages 727-742.
    17. Peters, Glen, 2008. "Reassessing Carbon Leakage," Conference papers 331753, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.
    18. Vizard, Polly, 2005. "The contributions of Professor Amartya Sen in the field of human rights," LSE Research Online Documents on Economics 6273, London School of Economics and Political Science, LSE Library.
    19. Bowen, T. Renee & Chen, Ying & Eraslan, Hülya & Zápal, Jan, 2017. "Efficiency of flexible budgetary institutions," Journal of Economic Theory, Elsevier, vol. 167(C), pages 148-176.
    20. Amir, Rabah & Bloch, Francis, 2009. "Comparative statics in a simple class of strategic market games," Games and Economic Behavior, Elsevier, vol. 65(1), pages 7-24, January.

    More about this item

    Keywords

    Pareto set; Homothetic preferences; Normal goods; Double visibility;
    All these keywords.

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D60 - Microeconomics - - Welfare Economics - - - General

    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:spr:etbull:v:11:y:2023:i:2:d:10.1007_s40505-023-00258-2. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.