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Optimality of linearity with collusion and renegotiation

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  • Barlo, Mehmet
  • Ozdogan, Ayca

Abstract

This study analyzes a continuous-time N-agent Brownian hidden-action model with exponential utilities, in which agents' actions jointly determine the mean and the variance of the outcome process. In order to give a theoretical justi¯cation for the use of linear contracts, as in Holmstrom and Milgrom (1987), we consider a variant of its generalization given by Sung (1995), into which collusion and renegotiation possibilities among agents are incorporated. In this model, we prove that there exists a linear and stationary optimal compensation scheme which is also immune to collusion and renegotiation.

Suggested Citation

  • Barlo, Mehmet & Ozdogan, Ayca, 2011. "Optimality of linearity with collusion and renegotiation," MPRA Paper 35548, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:35548
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    References listed on IDEAS

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    1. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-1367, November.
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    4. Martin F. Hellwig & Klaus M. Schmidt, 2002. "Discrete-Time Approximations of the Holmstrom-Milgrom Brownian-Motion Model of Intertemporal Incentive Provision," Econometrica, Econometric Society, vol. 70(6), pages 2225-2264, November.
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    12. 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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    16. Mehmet Barlo & Ayça Özdoğan, 2013. "The Optimality of Team Contracts," Games, MDPI, vol. 4(4), pages 1-20, November.
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    Cited by:

    1. Mehmet Barlo & Ayça Özdoğan, 2013. "The Optimality of Team Contracts," Games, MDPI, vol. 4(4), pages 1-20, November.
    2. Barlo, Mehmet & Ayca, Ozdogan, 2012. "Team beats collusion," MPRA Paper 37449, University Library of Munich, Germany.

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    More about this item

    Keywords

    Principal-agent problems; moral hazard; linear contracts; continuous-time model; Brownian motion martingale method; collusion; renegotiation; team;
    All these keywords.

    JEL classification:

    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • 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

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