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Characterization of a Risk Sharing Contract with One-Sided Commitment

Author

Listed:
  • Zhang, Yuzhe
Abstract
In this paper I provide a stopping-time-based solution to a long-term contracting problem between a risk-neutral principal and a risk-averse agent. The agent faces a stochastic income stream and cannot commit to the long-term contracting relationship. To compute the optimal contract, I also design an algorithm that is more efficient than value-function iteration.

Suggested Citation

  • Zhang, Yuzhe, 2012. "Characterization of a Risk Sharing Contract with One-Sided Commitment," MPRA Paper 42820, University Library of Munich, Germany, revised Aug 2012.
    • Handle: RePEc:pra:mprapa:42820
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    References listed on IDEAS

    as
    1. Krueger, Dirk & Uhlig, Harald, 2006. "Competitive risk sharing contracts with one-sided commitment," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1661-1691, October.
    2. Tobias Broer, 2013. "The Wrong Shape of Insurance? What Cross-Sectional Distributions Tell Us about Models of Consumption Smoothing," American Economic Journal: Macroeconomics, American Economic Association, vol. 5(4), pages 107-140, October.
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    5. Tobias Broer, 2009. "Stationary equilibrium distributions in economies with limited commitment," Economics Working Papers ECO2009/39, European University Institute.
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    10. Grochulski, Borys & Zhang, Yuzhe, 2011. "Optimal risk sharing and borrowing constraints in a continuous-time model with limited commitment," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2356-2388.
    11. Jérôme Detemple & Angel Serrat, 2003. "Dynamic Equilibrium with Liquidity Constraints," The Review of Financial Studies, Society for Financial Studies, vol. 16(2), pages 597-629.
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    13. Krueger, Dirk & Perri, Fabrizio, 2011. "Public versus private risk sharing," Journal of Economic Theory, Elsevier, vol. 146(3), pages 920-956, May.
    14. Patrick J. Kehoe & Fabrizio Perri, 2002. "International Business Cycles with Endogenous Incomplete Markets," Econometrica, Econometric Society, vol. 70(3), pages 907-928, May.
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    Cited by:

    1. Grochulski, Borys & Zhang, Yuzhe, 2011. "Optimal risk sharing and borrowing constraints in a continuous-time model with limited commitment," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2356-2388.
    2. Dirk Krueger & Fulin Li & Harald Uhlig, 2024. "Neoclassical Growth Transition Dynamics with One-Sided Commitment," PIER Working Paper Archive 24-020, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    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. Krueger, Dirk & Uhlig, Harald, 2022. "Neoclassical Growth with Limited Commitment," CEPR Discussion Papers 17757, C.E.P.R. Discussion Papers.
    5. Junkee Jeon & Hyeng Keun Koo & Kyunghyun Park, 2018. "Optimal Insurance with Limited Commitment in a Finite Horizon," Papers 1812.11669, arXiv.org, revised Jan 2019.
    6. He Yiming & Luo Biliang & Zou Baoling, 2018. "Do Heterogeneous Agricultural Factors Affect Farmland Contractual Choice?—Evidence from China," Man and the Economy, De Gruyter, vol. 5(1), pages 1-12, June.
    7. Dirk Krueger & Harald Uhlig, 2022. "Neoclassical Growth with Long-Term One-Sided Commitment Contracts," NBER Working Papers 30518, National Bureau of Economic Research, Inc.
    8. Niu, Yingjie & Yang, Jinqiang & Zou, Zhentao, 2020. "Robust contracts with one-sided commitment," Journal of Economic Dynamics and Control, Elsevier, vol. 117(C).
    9. Vafa Arani, Hamed & Rabbani, Masoud & Rafiei, Hamed, 2016. "A revenue-sharing option contract toward coordination of supply chains," International Journal of Production Economics, Elsevier, vol. 178(C), pages 42-56.

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    More about this item

    Keywords

    Limited commitment; Risk sharing; Stopping time; Value-function iteration;
    All these keywords.

    JEL classification:

    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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