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Optimal contingent delegation

Author

Listed:
  • Gan, Tan
  • Hu, Ju
  • Weng, Xi

Abstract

This paper investigates a two-agent mechanism design problem without transfers, where the principal must decide one action for each agent. In our framework, agents only care about their own adaptation, and any deterministic dominant incentive compatible decision rule is equivalent to contingent delegation: the delegation set offered to one agent depends on the other's report. By contrast, the principal cares about both adaptation and coordination. We provide sufficient conditions under which contingent interval delegation is optimal and solve the optimal contingent interval delegation under fairly general conditions. Remarkably, the optimal interval delegation is completely determined by combining and modifying the solutions to a class of simple single-agent problems, where the other agent is assumed to report truthfully and choose his most preferred action.

Suggested Citation

  • Gan, Tan & Hu, Ju & Weng, Xi, 2023. "Optimal contingent delegation," Journal of Economic Theory, Elsevier, vol. 208(C).
  • Handle: RePEc:eee:jetheo:v:208:y:2023:i:c:s0022053122001879
    DOI: 10.1016/j.jet.2022.105597
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    1. Mark Bagnoli & Ted Bergstrom, 2006. "Log-concave probability and its applications," Studies in Economic Theory, in: Charalambos D. Aliprantis & Rosa L. Matzkin & Daniel L. McFadden & James C. Moore & Nicholas C. Yann (ed.), Rationality and Equilibrium, pages 217-241, Springer.
    2. Alexey Kushnir, 2013. "On the equivalence between Bayesian and dominant strategy implementation: the case of correlated types," ECON - Working Papers 129, Department of Economics - University of Zurich.
    3. Masahiko Aoki, 2013. "Horizontal vs. Vertical Information Structure of the Firm," Chapters, in: Comparative Institutional Analysis, chapter 5, pages 57-58, Edward Elgar Publishing.
    4. Guido Friebel & Michael Raith, 2010. "Resource Allocation and Organizational Form," American Economic Journal: Microeconomics, American Economic Association, vol. 2(2), pages 1-33, May.
    5. Oliver Hart & John Moore, 2005. "On the Design of Hierarchies: Coordination versus Specialization," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 675-702, August.
    6. Manuel Amador & Kyle Bagwell & Alex Frankel, 2018. "A note on interval delegation," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(2), pages 239-249, October.
    7. Martimort, David & Semenov, Aggey, 2008. "The informational effects of competition and collusion in legislative politics," Journal of Public Economics, Elsevier, vol. 92(7), pages 1541-1563, July.
    8. Heikki Rantakari, 2008. "Governing Adaptation -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(4), pages 1257-1285.
    9. Jacques Crémer & Luis Garicano & Andrea Prat, 2007. "Language and the Theory of the Firm," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(1), pages 373-407.
    10. Ricardo Alonso & Wouter Dessein & Niko Matouschek, 2008. "When Does Coordination Require Centralization?," American Economic Review, American Economic Association, vol. 98(1), pages 145-179, March.
    11. Wouter Dessein & Luis Garicano & Robert Gertner, 2010. "Organizing for Synergies," American Economic Journal: Microeconomics, American Economic Association, vol. 2(4), pages 77-114, November.
    12. Armstrong, Mark, 1995. "Delegation and discretion," MPRA Paper 17069, University Library of Munich, Germany.
    13. Martimort, David & Semenov, Aggey, 2006. "Continuity in mechanism design without transfers," Economics Letters, Elsevier, vol. 93(2), pages 182-189, November.
    14. Ricardo Alonso & Isabelle Brocas & Juan D. Carrillo, 2014. "Resource Allocation in the Brain," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(2), pages 501-534.
    15. Alex Gershkov & Jacob K. Goeree & Alexey Kushnir & Benny Moldovanu & Xianwen Shi, 2013. "On the Equivalence of Bayesian and Dominant Strategy Implementation," Econometrica, Econometric Society, vol. 81(1), pages 197-220, January.
    16. An, Mark Yuying, 1998. "Logconcavity versus Logconvexity: A Complete Characterization," Journal of Economic Theory, Elsevier, vol. 80(2), pages 350-369, June.
    17. Kovác, Eugen & Mylovanov, Tymofiy, 2009. "Stochastic mechanisms in settings without monetary transfers: The regular case," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1373-1395, July.
    18. Jarman, Felix & Meisner, Vincent, 2017. "Deterministic mechanisms, the revelation principle, and ex-post constraints," Economics Letters, Elsevier, vol. 161(C), pages 96-98.
    19. Ricardo Alonso & Wouter Dessein & Niko Matouschek, 2008. "When Does Coordination Require Centralization? Corrigendum," American Economic Review, American Economic Association, vol. 98(3), pages 1195-1196, June.
    20. Manuel Amador & Kyle Bagwell, 2013. "The Theory of Optimal Delegation With an Application to Tariff Caps," Econometrica, Econometric Society, vol. 81(4), pages 1541-1599, July.
    21. Wouter Dessein & Tano Santos, 2006. "Adaptive Organizations," Journal of Political Economy, University of Chicago Press, vol. 114(5), pages 956-985, October.
    22. Nahum D. Melumad & Toshiyuki Shibano, 1991. "Communication in Settings with No. Transfers," RAND Journal of Economics, The RAND Corporation, vol. 22(2), pages 173-198, Summer.
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    More about this item

    Keywords

    Dominant strategy mechanism design; Contingent delegation; Adaptation; Coordination;
    All these keywords.

    JEL classification:

    • D23 - Microeconomics - - Production and Organizations - - - Organizational Behavior; Transaction Costs; Property Rights
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • L23 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Organization of Production
    • M11 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration - - - Production Management

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