IDEAS home Printed from https://ideas.repec.org/a/eee/matsoc/v62y2011i2p120-122.html
   My bibliography  Save this article

Complementarity with complete but P-acyclic preferences

Author

Listed:
  • Ghosal, Sayantan

Abstract

This paper extends the formulation of complementarity in Milgrom and Shannon (1994) to the case of complete but P-acyclic preferences. In such a case, quasi-supermodularity and the single-crossing property on their own do not guarantee monotone comparative statics or equilibrium existence: an additional condition, monotone closure, is required.

Suggested Citation

  • Ghosal, Sayantan, 2011. "Complementarity with complete but P-acyclic preferences," Mathematical Social Sciences, Elsevier, vol. 62(2), pages 120-122, September.
    • Handle: RePEc:eee:matsoc:v:62:y:2011:i:2:p:120-122
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S016548961100045X
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Shafer, Wayne & Sonnenschein, Hugo, 1975. "Equilibrium in abstract economies without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 345-348, December.
    2. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
    3. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    4. Norman Schofield, 1984. "Existence of Equilibrium on a Manifold," Mathematics of Operations Research, INFORMS, vol. 9(4), pages 545-557, November.
    5. Bergstrom, Theodore C., 1975. "Maximal elements of acyclic relations on compact sets," Journal of Economic Theory, Elsevier, vol. 10(3), pages 403-404, June.
    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. Dalton, Patricio S. & Ghosal, Sayantan, 2013. "Characterizing Behavioral Decisions with Choice Datas," SIRE Discussion Papers 2013-86, Scottish Institute for Research in Economics (SIRE).
    2. Patricio Dalton & Sayantan Ghosal, 2012. "Decisions with endogenous frames," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(4), pages 585-600, April.
    3. Dalton, Patricio & Ghosal, Sayantan, 2018. "Self-fulfilling mistakes : Characterization and welfare," Other publications TiSEM 4ea1a236-5307-4b4b-b268-e, Tilburg University, School of Economics and Management.
    4. Patricio Dalton & Sayantan Ghosal, 2012. "Decisions with endogenous frames," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(4), pages 585-600, April.

    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. Dalton, Patricio & Ghosal, Sayantan, 2008. "Behavioural Decisions and Welfare," The Warwick Economics Research Paper Series (TWERPS) 834, University of Warwick, Department of Economics.
    2. Dalton, P.S. & Ghosal, S., 2010. "Behavioral Decisions and Welfare (Replaces CentER DP 2010-22)," Discussion Paper 2010-143, Tilburg University, Center for Economic Research.
    3. Ghosal, Sayantan & Dalton, Patricio, 2013. "Characterizing Behavioral Decisions with Choice Data," CAGE Online Working Paper Series 107, Competitive Advantage in the Global Economy (CAGE).
    4. Kukushkin, Nikolai S., 2018. "Better response dynamics and Nash equilibrium in discontinuous games," Journal of Mathematical Economics, Elsevier, vol. 74(C), pages 68-78.
    5. Kukushkin, Nikolai S., 2016. "Nash equilibrium with discontinuous utility functions: Reny's approach extended," MPRA Paper 75862, University Library of Munich, Germany.
    6. Dalton, Patricio & Ghosal, Sayantan, 2018. "Self-fulfilling mistakes : Characterization and welfare," Other publications TiSEM 4ea1a236-5307-4b4b-b268-e, Tilburg University, School of Economics and Management.
    7. Jun Honda, 2015. "Games with the Total Bandwagon Property," Department of Economics Working Papers wuwp197, Vienna University of Economics and Business, Department of Economics.
    8. Camacho, Carmen & Kamihigashi, Takashi & Sağlam, Çağrı, 2018. "Robust comparative statics for non-monotone shocks in large aggregative games," Journal of Economic Theory, Elsevier, vol. 174(C), pages 288-299.
    9. 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.
    10. Uttiya Paul & Tarun Sabarwal, 2023. "Directional monotone comparative statics in function spaces," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 153-169, April.
    11. Nikolai Kukushkin, 2015. "The single crossing conditions for incomplete preferences," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(1), pages 225-251, February.
    12. Prokopovych, Pavlo & Yannelis, Nicholas C., 2017. "On strategic complementarities in discontinuous games with totally ordered strategies," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 147-153.
    13. Mohnen, Pierre & Roller, Lars-Hendrik, 2005. "Complementarities in innovation policy," European Economic Review, Elsevier, vol. 49(6), pages 1431-1450, August.
    14. Mirman, Leonard J. & Morand, Olivier F. & Reffett, Kevin L., 2008. "A qualitative approach to Markovian equilibrium in infinite horizon economies with capital," Journal of Economic Theory, Elsevier, vol. 139(1), pages 75-98, March.
    15. Philip J. Reny, 2011. "On the Existence of Monotone Pure‐Strategy Equilibria in Bayesian Games," Econometrica, Econometric Society, vol. 79(2), pages 499-553, March.
    16. Rabah Amir & Filomena Garcia & Malgorzata Knauff, 2006. "Endogenous Heterogeneity in Strategic Models: Symmetry-breaking via Strategic Substitutes and Nonconcavities," Working Papers Department of Economics 2006/29, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    17. Federico Echenique, 2002. "Comparative Statics by Adaptive Dynamics and the Correspondence Principle," Econometrica, Econometric Society, vol. 70(2), pages 833-844, March.
    18. Magnus Hoffmann & Grégoire Rota‐Graziosi, 2020. "Endogenous timing in the presence of non‐monotonicities," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 53(1), pages 359-402, February.
    19. Finn Christensen, 2019. "Comparative statics and heterogeneity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(3), pages 665-702, April.
    20. Rabah Amir, 2005. "Supermodularity and Complementarity in Economics: An Elementary Survey," Southern Economic Journal, John Wiley & Sons, vol. 71(3), pages 636-660, January.

    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:eee:matsoc:v:62:y:2011:i:2:p:120-122. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505565 .

    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.