IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v46y2014icp237-251.html
   My bibliography  Save this article

Does risk sharing increase with risk aversion and risk when commitment is limited?

Author

Listed:
  • Laczó, Sarolta

Abstract

I consider a risk-sharing game with limited commitment, and study how the discount factor above which perfect risk sharing is self-enforcing in the long run depends on agents׳ risk aversion and the riskiness of their endowment. When agents face no aggregate risk, a mean-preserving spread may destroy the sustainability of perfect risk sharing if each agent׳s endowment may take more than three values. With aggregate risk the same can happen with only two possible endowment realizations. With respect to risk aversion the intuitive comparative statics result holds without aggregate risk, but it holds only under strong assumptions in the presence of aggregate risk. In simple settings with two endowment values I also show that the threshold discount factor co-moves with popular measures of risk sharing.

Suggested Citation

  • Laczó, Sarolta, 2014. "Does risk sharing increase with risk aversion and risk when commitment is limited?," Journal of Economic Dynamics and Control, Elsevier, vol. 46(C), pages 237-251.
  • Handle: RePEc:eee:dyncon:v:46:y:2014:i:c:p:237-251
    DOI: 10.1016/j.jedc.2014.06.013
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165188914001511
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jedc.2014.06.013?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. Meyer, Jack & Ormiston, Michael B, 1985. "Strong Increases in Risk and Their Comparative Statics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 425-437, June.
    2. Albert Marcet & Ramon Marimon, 2019. "Recursive Contracts," Econometrica, Econometric Society, vol. 87(5), pages 1589-1631, September.
    3. Abreu, Dilip, 1988. "On the Theory of Infinitely Repeated Games with Discounting," Econometrica, Econometric Society, vol. 56(2), pages 383-396, March.
    4. Kimball, Miles S, 1988. "Farmers' Cooperatives as Behavior Toward Risk," American Economic Review, American Economic Association, vol. 78(1), pages 224-232, March.
    5. Krueger, Dirk & Perri, Fabrizio, 2011. "Public versus private risk sharing," Journal of Economic Theory, Elsevier, vol. 146(3), pages 920-956, May.
    6. Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March.
    7. Jonathan Thomas & Tim Worrall, 1988. "Self-Enforcing Wage Contracts," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(4), pages 541-554.
    8. Dirk Krueger & Fabrizio Perri, 2006. "Does Income Inequality Lead to Consumption Inequality? Evidence and Theory -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 163-193.
    9. Fernando Alvarez & Urban J. Jermann, 2000. "Efficiency, Equilibrium, and Asset Pricing with Risk of Default," Econometrica, Econometric Society, vol. 68(4), pages 775-798, July.
    10. Ross, Stephen A, 1981. "Some Stronger Measures of Risk Aversion in the Small and the Large with Applications," Econometrica, Econometric Society, vol. 49(3), pages 621-638, May.
    11. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    12. Patrick J. Kehoe & Fabrizio Perri, 2002. "International Business Cycles with Endogenous Incomplete Markets," Econometrica, Econometric Society, vol. 70(3), pages 907-928, May.
    13. Marcle Fafchamps, 1999. "Risk sharing and quasi-credit," The Journal of International Trade & Economic Development, Taylor & Francis Journals, vol. 8(3), pages 257-278.
    14. Avinash Dixit & Gene M. Grossman & Faruk Gul, 2000. "The Dynamics of Political Compromise," Journal of Political Economy, University of Chicago Press, vol. 108(3), pages 531-568, June.
    15. Attanasio, Orazio & Rios-Rull, Jose-Victor, 2000. "Consumption smoothing in island economies: Can public insurance reduce welfare?," European Economic Review, Elsevier, vol. 44(7), pages 1225-1258, June.
    16. Narayana R. Kocherlakota, 1996. "Implications of Efficient Risk Sharing without Commitment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(4), pages 595-609.
    17. Gollier, Christian & Pratt, John W, 1996. "Risk Vulnerability and the Tempering Effect of Background Risk," Econometrica, Econometric Society, vol. 64(5), pages 1109-1123, September.
    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. Jean Guillaume Forand & Jan Zapal, 2017. "The Demand and Supply of Favours in Dynamic Relationships," Working Papers 1705, University of Waterloo, Department of Economics, revised Sep 2017.
    2. Eduardo Zilberman & Vinicius Carrasco & Pedro Hemsley, 2019. "Risk sharing contracts with private information and one-sided commitment," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(1), pages 53-81, July.

    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. Árpád Ábrahám & Sarolta Laczó, 2018. "Efficient Risk Sharing with Limited Commitment and Storage," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(3), pages 1389-1424.
    2. Sarolta Laczo, 2010. "Estimating Dynamic Contracts: Risk Sharing in Village Economies," 2010 Meeting Papers 687, Society for Economic Dynamics.
    3. Miao, Jianjun & Zhang, Yuzhe, 2015. "A duality approach to continuous-time contracting problems with limited commitment," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 929-988.
    4. Patrick J. Kehoe & Fabrizio Perri, 2002. "International Business Cycles with Endogenous Incomplete Markets," Econometrica, Econometric Society, vol. 70(3), pages 907-928, May.
    5. Mazur, Karol, 2023. "Sharing risk to avoid tragedy: Informal insurance and irrigation in village economies," Journal of Development Economics, Elsevier, vol. 161(C).
    6. Melanie Morten, 2016. "Temporary Migration and Endogenous Risk Sharing in Village India," NBER Working Papers 22159, National Bureau of Economic Research, Inc.
    7. Alvaro Aguirre, 2017. "Contracting Institutions and Economic Growth," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 24, pages 192-217, March.
    8. Tom Krebs & Moritz Kuhn & Mark L. J. Wright, 2015. "Human Capital Risk, Contract Enforcement, and the Macroeconomy," American Economic Review, American Economic Association, vol. 105(11), pages 3223-3272, November.
    9. Bauducco, Sofia & Caprioli, Francesco, 2014. "Optimal fiscal policy in a small open economy with limited commitment," Journal of International Economics, Elsevier, vol. 93(2), pages 302-315.
    10. Krueger, Dirk & Perri, Fabrizio, 2011. "Public versus private risk sharing," Journal of Economic Theory, Elsevier, vol. 146(3), pages 920-956, May.
    11. Wahhaj, Zaki, 2010. "Social norms and individual savings in the context of informal insurance," Journal of Economic Behavior & Organization, Elsevier, vol. 76(3), pages 511-530, December.
    12. Golosov, M. & Tsyvinski, A. & Werquin, N., 2016. "Recursive Contracts and Endogenously Incomplete Markets," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 725-841, Elsevier.
    13. Sebastian Heise, 2016. "Firm-to-Firm Relationships and Price Rigidity - Theory and Evidence," CESifo Working Paper Series 6226, CESifo.
    14. Eva Carceles-Poveda & Arpad Abraham, 2005. "Complete Markets, Enforcement Constraints and Intermediation," 2005 Meeting Papers 661, Society for Economic Dynamics.
    15. Rafael Di Tella & Robert MacCulloch, 2002. "Informal Family Insurance And The Design Of The Welfare State," Economic Journal, Royal Economic Society, vol. 112(481), pages 481-503, July.
    16. Kehoe, Patrick J. & Perri, Fabrizio, 2004. "Competitive equilibria with limited enforcement," Journal of Economic Theory, Elsevier, vol. 119(1), pages 184-206, November.
    17. Zhang, Yuzhe, 2013. "Characterization of a risk sharing contract with one-sided commitment," Journal of Economic Dynamics and Control, Elsevier, vol. 37(4), pages 794-809.
    18. Almuth Scholl, 2018. "Debt Relief for Poor Countries: Conditionality and Effectiveness," Economica, London School of Economics and Political Science, vol. 85(339), pages 626-648, July.
    19. Sarolta Laczo & Arpad Abraham, 2012. "Efficient Risk Sharing with Limited Commitment and Hidden Saving," 2012 Meeting Papers 680, Society for Economic Dynamics.
    20. Krueger, Dirk & Uhlig, Harald, 2022. "Neoclassical Growth with Long-Term One-Sided Commitment Contracts," CEPR Discussion Papers 17757, C.E.P.R. Discussion Papers.

    More about this item

    Keywords

    Risk sharing; Limited commitment; Dynamic contracts; Comparative statics;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D10 - Microeconomics - - Household Behavior - - - General
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law

    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:dyncon:v:46:y:2014:i:c:p:237-251. 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/jedc .

    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.