IDEAS home Printed from https://ideas.repec.org/a/eee/matsoc/v91y2018icp71-74.html

An improvement to Jensen’s inequality and its application to mating market clearing when paternity is uncertain

Author

Listed:
  • Bethmann, Dirk

Abstract

Jensen’s inequality can be tightened in the context of discrete random variables. The suggested new inequality coincides with Jensen’s inequality only when the expected value of the random variable is an integer, in all other cases the inequality is tighter than Jensen’s. This improvement is used to derive a welfare result in the context of a mating market where male agents are exposed to paternal uncertainty. It is shown that social welfare is highest when paternity is certain, a result that cannot be obtained when relying on Jensen’s inequality.

Suggested Citation

  • Bethmann, Dirk, 2018. "An improvement to Jensen’s inequality and its application to mating market clearing when paternity is uncertain," Mathematical Social Sciences, Elsevier, vol. 91(C), pages 71-74.
    • Handle: RePEc:eee:matsoc:v:91:y:2018:i:c:p:71-74
    DOI: 10.1016/j.mathsocsci.2017.08.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165489617301166
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.mathsocsci.2017.08.004?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 look for a different version below or

    for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
    2. Lippman, Steven A & McCall, John J, 1976. "The Economics of Job Search: A Survey: Part I," Economic Inquiry, Western Economic Association International, vol. 14(2), pages 155-189, June.
    3. John Rust & Christopher Phelan, 1997. "How Social Security and Medicare Affect Retirement Behavior in a World of Incomplete Markets," Econometrica, Econometric Society, vol. 65(4), pages 781-832, July.
    4. Dirk Bethmann & Michael Kvasnicka, 2011. "The institution of marriage," Journal of Population Economics, Springer;European Society for Population Economics, vol. 24(3), pages 1005-1032, July.
    5. Lippman, Steven A & McCall, John J, 1976. "The Economics of Job Search: A Survey," Economic Inquiry, Western Economic Association International, vol. 14(3), pages 347-368, September.
    6. R. Kaas & J.M. Buhrman, 1980. "Mean, Median and Mode in Binomial Distributions," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 34(1), pages 13-18, March.
    7. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
    8. Eyal Baharad & Benjamin Eden, 2004. "Price Rigidity and Price Dispersion: Evidence from Micro Data," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(3), pages 613-641, July.
    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. Rogerson, Richard & Shimer, Robert, 2011. "Search in Macroeconomic Models of the Labor Market," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 4, chapter 7, pages Pages: 61, Elsevier.
    2. Chun, Young H. & Plante, Robert D. & Schneider, Helmut, 2002. "Buying and selling an asset over the finite time horizon: A non-parametric approach," European Journal of Operational Research, Elsevier, vol. 136(1), pages 106-120, January.
    3. Ballot, Gerard, 2002. "Modeling the labor market as an evolving institution: model ARTEMIS," Journal of Economic Behavior & Organization, Elsevier, vol. 49(1), pages 51-77, September.
    4. Tan Wang & Tony S. Wirjanto, 2016. "Risk Aversion, Uncertainty, Unemployment Insurance Benefit and Duration of "Wait" Unemployment," Annals of Economics and Finance, Society for AEF, vol. 17(1), pages 1-34, May.
    5. Franz Rothlauf & Daniel Schunk & Jella Pfeiffer, 2005. "Classification of Human Decision Behavior: Finding Modular Decision Rules with Genetic Algorithms," MEA discussion paper series 05079, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
    6. Ichiishi, Tatsuro, 1985. "Management versus ownership, II," European Economic Review, Elsevier, vol. 27(2), pages 115-138, March.
    7. Rami Zwick & Amnon Rapoport & Alison King Chung Lo & A. V. Muthukrishnan, 2003. "Consumer Sequential Search: Not Enough or Too Much?," Marketing Science, INFORMS, vol. 22(4), pages 503-519, October.
    8. Laura J. Kornish & Karl T. Ulrich, 2011. "Opportunity Spaces in Innovation: Empirical Analysis of Large Samples of Ideas," Management Science, INFORMS, vol. 57(1), pages 107-128, January.
    9. Michael A. Stoll, 2005. "Geographical Skills Mismatch, Job Search and Race," Urban Studies, Urban Studies Journal Limited, vol. 42(4), pages 695-717, April.
    10. Fay, Scott & Mitra, Deb & Wang, Qiong, 2009. "Ask or infer? Strategic implications of alternative learning approaches in customization," International Journal of Research in Marketing, Elsevier, vol. 26(2), pages 136-152.
    11. Cuéllar Martín, Jaime & Martín-Román, Ángel L. & Moral, Alfonso, 2017. "A composed error model decomposition and spatial analysis of local unemployment," MPRA Paper 79783, University Library of Munich, Germany.
    12. David, Israel, 1998. "Explicit results for a class of asset-selling problems," European Journal of Operational Research, Elsevier, vol. 110(3), pages 576-584, November.
    13. Schunk, Daniel, 2009. "Behavioral heterogeneity in dynamic search situations: Theory and experimental evidence," Journal of Economic Dynamics and Control, Elsevier, vol. 33(9), pages 1719-1738, September.
    14. Mark A. Satterthwaite, 1977. "The Effect of Increased Supply on Equilibrium Price : A Theory for the Strange Case of Physicians' Services," Discussion Papers 294, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    15. Chantal Cases, 1996. "Assurance-chômage et offre de travail," Économie et Statistique, Programme National Persée, vol. 291(1), pages 139-150.
    16. Marvin M. Smith, 1985. "Early Labor Market Experiences of Youth and Subsequent Wages," American Journal of Economics and Sociology, Wiley Blackwell, vol. 44(4), pages 391-400, October.
    17. Bauer, Thomas K. & Haisken-DeNew, John P., 2001. "Employer learning and the returns to schooling," Labour Economics, Elsevier, vol. 8(2), pages 161-180, May.
    18. Basse Mama, Houdou, 2018. "Nonlinear capital market payoffs to science-led innovation," Research Policy, Elsevier, vol. 47(6), pages 1084-1095.
    19. Churlzu Lim & J. Neil Bearden & J. Cole Smith, 2006. "Sequential Search with Multiattribute Options," Decision Analysis, INFORMS, vol. 3(1), pages 3-15, March.
    20. Öner, Özge, 2013. "RETURNS TO LOCATION IN RETAIL: Investigating the relevance of market size and regional hierarchy," Working Paper Series in Economics and Institutions of Innovation 336, Royal Institute of Technology, CESIS - Centre of Excellence for Science and Innovation Studies.

    More about this item

    JEL classification:

    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • J11 - Labor and Demographic Economics - - Demographic Economics - - - Demographic Trends, Macroeconomic Effects, and Forecasts
    • J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth

    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:91:y:2018:i:c:p:71-74. 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.