[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/wat/wpaper/1705.html
   My bibliography  Save this paper

The Demand and Supply of Favours in Dynamic Relationships

Author

Listed:
  • Jean Guillaume Forand

    (Department of Economics, University of Waterloo)

  • Jan Zapal

    (CERGE-EI, Prague, Czech Republic)

Abstract
We characterise the optimal demand and supply of favours in a dynamic principal-agent model of joint production, in which heterogenous project opportunities arrive stochastically and are publicly observed upon arrival, utility from these projects is non-transferable and commitment to future production is limited. Our results characterise the optimal dynamic contract, and we establish that the principal's supply of favours (the production of projects that benefit the agent but not the principal) is backloaded, that the principal's demand for favours (the production of projects that benefit the principal but not the agent) is frontloaded, and that the production of projects is ordered by their comparative advantage, that is, by their associated efficiency in extracting (for demanded projects) and providing (for supplied projects) utility to the agent. Furthermore, we provide an exact construction of the optimal contract when project opportunities follow a Markov process.

Suggested Citation

  • 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.
    • Handle: RePEc:wat:wpaper:1705
    as

    Download full text from publisher

    File URL: https://uwaterloo.ca/economics/sites/ca.economics/files/uploads/files/forand_zapal_dynamic_favours.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Rui Albuquerque & Hugo A. Hopenhayn, 2004. "Optimal Lending Contracts and Firm Dynamics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(2), pages 285-315.
    2. Bloch, Francis & Genicot, Garance & Ray, Debraj, 2008. "Informal insurance in social networks," Journal of Economic Theory, Elsevier, vol. 143(1), pages 36-58, November.
    3. Jonathan Levin, 2003. "Relational Incentive Contracts," American Economic Review, American Economic Association, vol. 93(3), pages 835-857, June.
    4. Matthias Messner & Nicola Pavoni & Christopher Sleet, 2012. "Recursive Methods for Incentive Problems," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(4), pages 501-525, October.
    5. Ethan Ligon & Jonathan P. Thomas & Tim Worrall, 2002. "Informal Insurance Arrangements with Limited Commitment: Theory and Evidence from Village Economies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(1), pages 209-244.
    6. Jonathan Thomas & Tim Worrall, 1994. "Foreign Direct Investment and the Risk of Expropriation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(1), pages 81-108.
    7. Attila Ambrus & Markus Mobius & Adam Szeidl, 2014. "Consumption Risk-Sharing in Social Networks," American Economic Review, American Economic Association, vol. 104(1), pages 149-182, January.
    8. Steven Blader & Claudine Gartenberg & Rebecca Henderson & Andrea Prat, 2015. "The Real Effects of Relational Contracts," American Economic Review, American Economic Association, vol. 105(5), pages 452-456, May.
    9. Pol Antràs & C. Fritz Foley, 2015. "Poultry in Motion: A Study of International Trade Finance Practices," Journal of Political Economy, University of Chicago Press, vol. 123(4), pages 853-901.
    10. Mark Aguiar & Manuel Amador, 2011. "Growth in the Shadow of Expropriation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(2), pages 651-697.
    11. Henderson, Rebecca., 1994. "The evolution of integrative capability : innovation in cardiovascular drug discovery," Working papers 3711-94., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    12. Mark Aguiar & Manuel Amador & Gita Gopinath, 2009. "Investment Cycles and Sovereign Debt Overhang," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(1), pages 1-31.
    13. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, April.
    14. Narayana Kocherlakota, 2004. "Figuring out the Impact of Hidden Savings on Optimal Unemployment Insurance," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(3), pages 541-554, July.
    15. Atila Abdulkadiroglu & Kyle Bagwell, 2013. "Trust, Reciprocity, and Favors in Cooperative Relationships," American Economic Journal: Microeconomics, American Economic Association, vol. 5(2), pages 213-259, May.
    16. Opp, Marcus M., 2012. "Expropriation risk and technology," Journal of Financial Economics, Elsevier, vol. 103(1), pages 113-129.
    17. Nicola Pavoni & Christopher Sleet & Matthias Messner, 2018. "The Dual Approach to Recursive Optimization: Theory and Examples," Econometrica, Econometric Society, vol. 86(1), pages 133-172, January.
    18. Marina Halac, 2012. "Relational Contracts and the Value of Relationships," American Economic Review, American Economic Association, vol. 102(2), pages 750-779, April.
    19. William Fuchs, 2007. "Contracting with Repeated Moral Hazard and Private Evaluations," American Economic Review, American Economic Association, vol. 97(4), pages 1432-1448, September.
    20. Rocco Macchiavello & Ameet Morjaria, 2015. "The Value of Relationships: Evidence from a Supply Shock to Kenyan Rose Exports," American Economic Review, American Economic Association, vol. 105(9), pages 2911-2945, September.
    21. Tobias Broer & Marek Kapicka & Paul Klein, 2017. "Consumption Risk Sharing with Private Information and Limited Enforcement," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 23, pages 170-190, January.
    22. Daron Acemoglu & Michael Golosov & Aleh Tsyvinski, 2008. "Political Economy of Mechanisms," Econometrica, Econometric Society, vol. 76(3), pages 619-641, May.
    23. Debraj Ray, 2002. "The Time Structure of Self-Enforcing Agreements," Econometrica, Econometric Society, vol. 70(2), pages 547-582, March.
    24. Garance Genicot & Debraj Ray, 2003. "Group Formation in Risk-Sharing Arrangements," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(1), pages 87-113.
    25. Timothy J. Kehoe & David K. Levine, 1993. "Debt-Constrained Asset Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(4), pages 865-888.
    26. Thomas, Jonathan & Worrall, Tim, 1990. "Income fluctuation and asymmetric information: An example of a repeated principal-agent problem," Journal of Economic Theory, Elsevier, vol. 51(2), pages 367-390, August.
    27. 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.
    28. Jin Li & Niko Matouschek & Michael Powell, 2017. "Power Dynamics in Organizations," American Economic Journal: Microeconomics, American Economic Association, vol. 9(1), pages 217-241, February.
    29. Natalia Kovrijnykh, 2013. "Debt Contracts with Partial Commitment," American Economic Review, American Economic Association, vol. 103(7), pages 2848-2874, December.
    30. repec:oup:restud:v:84:y::i:1:p:277-299. is not listed on IDEAS
    31. 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.
    32. Thomas, Jonathan P. & Worrall, Tim, 2018. "Dynamic relational contracts under complete information," Journal of Economic Theory, Elsevier, vol. 175(C), pages 624-651.
    33. Maurizio Mazzocco, 2007. "Household Intertemporal Behaviour: A Collective Characterization and a Test of Commitment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(3), pages 857-895.
    34. 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.
    35. Ales, Laurence & Maziero, Pricila & Yared, Pierre, 2014. "A theory of political and economic cycles," Journal of Economic Theory, Elsevier, vol. 153(C), pages 224-251.
    36. Stephen E. Spear & Sanjay Srivastava, 1987. "On Repeated Moral Hazard with Discounting," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(4), pages 599-617.
    37. 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.
    38. Pierre Yared, 2010. "Politicians, Taxes and Debt," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(2), pages 806-840.
    39. Christine Hauser & Hugo Hopenhayn, 2008. "Trading Favors: Optimal Exchange and Forgiveness," Carlo Alberto Notebooks 88, Collegio Carlo Alberto.
    40. Matthew O. Jackson & Tomas Rodriguez-Barraquer & Xu Tan, 2012. "Social Capital and Social Quilts: Network Patterns of Favor Exchange," American Economic Review, American Economic Association, vol. 102(5), pages 1857-1897, August.
    41. Giovanni Maggi & Massimo Morelli, 2006. "Self-Enforcing Voting in International Organizations," American Economic Review, American Economic Association, vol. 96(4), pages 1137-1158, September.
    42. Thomas, Jonathan P. & Worrall, Tim, 2014. "Dynamic Relational Contracts under Complete Information," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-47, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    43. J. B. Taylor & Harald Uhlig (ed.), 2016. "Handbook of Macroeconomics," Handbook of Macroeconomics, Elsevier, edition 1, volume 2, number 2.
    44. Marina Halac, 2014. "Relationship Building: Conflict and Project Choice over Time," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 30(4), pages 683-708.
    45. Patrick J. Kehoe & Fabrizio Perri, 2002. "International Business Cycles with Endogenous Incomplete Markets," Econometrica, Econometric Society, vol. 70(3), pages 907-928, May.
    46. Rebecca Henderson & Iain Cockburn, 1994. "Measuring Competence? Exploring Firm Effects in Pharmaceutical Research," Strategic Management Journal, Wiley Blackwell, vol. 15(S1), pages 63-84, December.
    47. 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.
    48. Jody Hoffer Gittell, 2002. "Coordinating Mechanisms in Care Provider Groups: Relational Coordination as a Mediator and Input Uncertainty as a Moderator of Performance Effects," Management Science, INFORMS, vol. 48(11), pages 1408-1426, November.
    49. Jin Li & Niko Matouschek, 2013. "Managing Conflicts in Relational Contracts," American Economic Review, American Economic Association, vol. 103(6), pages 2328-2351, October.
    50. Susan Helper & Rebecca Henderson, 2014. "Management Practices, Relational Contracts, and the Decline of General Motors," Journal of Economic Perspectives, American Economic Association, vol. 28(1), pages 49-72, Winter.
    51. 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.
    52. Simon Board, 2011. "Relational Contracts and the Value of Loyalty," American Economic Review, American Economic Association, vol. 101(7), pages 3349-3367, December.
    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. Forand, Jean Guillaume & Zapal, Jan, 2020. "Production priorities in dynamic relationships," Theoretical Economics, Econometric Society, vol. 15(3), 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. 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.
    2. Francesc Dilmé & Daniel F. Garrett, 2023. "Relational Contracts: Public versus Private Savings," Econometrica, Econometric Society, vol. 91(3), pages 1025-1075, May.
    3. Forand, Jean Guillaume & Zapal, Jan, 2020. "Production priorities in dynamic relationships," Theoretical Economics, Econometric Society, vol. 15(3), July.
    4. Ales, Laurence & Maziero, Pricila & Yared, Pierre, 2014. "A theory of political and economic cycles," Journal of Economic Theory, Elsevier, vol. 153(C), pages 224-251.
    5. Jonathan P Thomas & Tim Worrall, 2010. "Dynamic Relational Contracts with Credit Constraints," Economics Discussion Paper Series 1009, Economics, The University of Manchester.
    6. Karaivanov, Alexander K. & Martin, Fernando M., 2018. "Markov-perfect risk sharing, moral hazard and limited commitment," Journal of Economic Dynamics and Control, Elsevier, vol. 94(C), pages 1-23.
    7. Fong, Yuk-fai & Li, Jin, 2017. "Relational contracts, limited liability, and employment dynamics," Journal of Economic Theory, Elsevier, vol. 169(C), pages 270-293.
    8. 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.
    9. 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.
    10. Arina Nikandrova & Jevgenijs Steinbuks, 2017. "Contracting for the second best in dysfunctional electricity markets," Journal of Regulatory Economics, Springer, vol. 51(1), pages 41-71, February.
    11. Alexander Karaivanov & Fernando Martin, 2015. "Dynamic Optimal Insurance and Lack of Commitment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 18(2), pages 287-305, April.
    12. 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.
    13. Thomas, Jonathan P. & Worrall, Tim, 2018. "Dynamic relational contracts under complete information," Journal of Economic Theory, Elsevier, vol. 175(C), pages 624-651.
    14. Joel Watson, 2021. "Theoretical Foundations of Relational Incentive Contracts," Annual Review of Economics, Annual Reviews, vol. 13(1), pages 631-659, August.
    15. 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.
    16. 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.
    17. Daniel Barron & Jin Li & Michał Zator, 2022. "Morale and Debt Dynamics," Management Science, INFORMS, vol. 68(6), pages 4496-4516, June.
    18. Opp, Marcus M., 2012. "Expropriation risk and technology," Journal of Financial Economics, Elsevier, vol. 103(1), pages 113-129.
    19. Sergio Rebelo & Neng Wang & Jinqiang Yang, 2018. "Rare Disasters, Financial Development, and Sovereign Debt," NBER Working Papers 25031, National Bureau of Economic Research, Inc.
    20. Sebastian Heise, 2016. "Firm-to-Firm Relationships and Price Rigidity - Theory and Evidence," CESifo Working Paper Series 6226, CESifo.

    More about this item

    JEL classification:

    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • L24 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Contracting Out; Joint Ventures

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:wat:wpaper:1705. 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: Sherri Anne Arsenault (email available below). General contact details of provider: https://edirc.repec.org/data/dewatca.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.