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A dynamic pricipal-agent problem as a feedback Stackelberg differentioal game

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Abstract

We consider situations in which a principal tries to induce an agent to spend effort on accumulating a state variable that affects the well-being of both parties. The only incentive mechanism that the principal can use is a state-dependent transfer of her own utility to the agent. Formally, the model is a Stackelberg differential game in which the players use feedback strategies. Whereas in general Stackelberg differential games with feedback strategy spaces the leader's optimization problem has non-standard features that make it extremely hard to solve, in the present case this problem can be rewritten as a standard optimal control problem. Two examples are used to illustrate our approach.

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  • Ngo Van Long & Gerhard Sorger, 2009. "A dynamic pricipal-agent problem as a feedback Stackelberg differentioal game," Vienna Economics Papers vie0905, University of Vienna, Department of Economics.
    • Handle: RePEc:vie:viennp:vie0905
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    References listed on IDEAS

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    9. Jaeyoung Sung, 1995. "Linearity with Project Selection and Controllable Diffusion Rate in Continuous-Time Principal-Agent Problems," RAND Journal of Economics, The RAND Corporation, vol. 26(4), pages 720-743, Winter.
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    Cited by:

    1. Kenji Fujiwara & Ngo Long, 2011. "Welfare Implications of Leadership in a Resource Market under Bilateral Monopoly," Dynamic Games and Applications, Springer, vol. 1(4), pages 479-497, December.
    2. Michael Caputo & Chen Ling, 2015. "Intrinsic Comparative Dynamics of Locally Differentiable Feedback Stackelberg Equilibria," Dynamic Games and Applications, Springer, vol. 5(1), pages 1-25, March.
    3. Christopher W. Miller & Insoon Yang, 2015. "Optimal Dynamic Contracts for a Large-Scale Principal-Agent Hierarchy: A Concavity-Preserving Approach," Papers 1506.05497, arXiv.org.
    4. Kenji Fujiwara & Ngo Van Long, 2012. "Optimal Tariffs On Exhaustible Resources: The Case Of Quantity-Setting," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 14(04), pages 1-17.
    5. Richard Hartl & Ulrike Leopold-Wildburger & Marion Rauner & Gerhard Sorger & Gernot Tragler & Vladimir Veliov, 2010. "Editorial “In honor of Gustav Feichtinger”," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(4), pages 433-435, December.
    6. Kenji Fujiwara & Ngo Van Long, 2012. "Optimal Tariffs on Exhaustible Resources: The Case of a Quantity Setting Cartel," CESifo Working Paper Series 3721, CESifo.
    7. Jiarui Gan & Minbiao Han & Jibang Wu & Haifeng Xu, 2023. "Robust Stackelberg Equilibria," Papers 2304.14990, arXiv.org, revised Oct 2023.
    8. Dylan Possamai & Nizar Touzi, 2020. "Is there a Golden Parachute in Sannikov's principal-agent problem?," Papers 2007.05529, arXiv.org, revised Oct 2022.

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    More about this item

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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