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Optimal profit sharing mechanisms with type-dependent outside options

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  • Sun, Wuqin
  • Wang, Dazhong
  • Zhang, Yue

Abstract

This study considers a principal using a profit sharing mechanism to select one among multiple agents with type-dependent outside options to operate a project. Under mild conditions, we fully characterize revenue-maximizing profit sharing mechanisms. Moreover, we show that if the monotonicity of the virtual valuation holds, then optimal sharing mechanisms can be implemented by the first- and second-price share auctions with an optimally chosen reserve price. We further find that the principal’s expected revenue improves as outside options diminish and break-even shares become less responsive. When outside options are linear in types, full surplus extraction is obtained.

Suggested Citation

  • Sun, Wuqin & Wang, Dazhong & Zhang, Yue, 2018. "Optimal profit sharing mechanisms with type-dependent outside options," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 57-66.
    • Handle: RePEc:eee:mateco:v:75:y:2018:i:c:p:57-66
    DOI: 10.1016/j.jmateco.2017.12.007
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    1. Bulow, Jeremy & Roberts, John, 1989. "The Simple Economics of Optimal Auctions," Journal of Political Economy, University of Chicago Press, vol. 97(5), pages 1060-1090, October.
    2. Hansen, Robert G, 1985. "Auctions with Contingent Payments," American Economic Review, American Economic Association, vol. 75(4), pages 862-865, September.
    3. Peter M. DeMarzo & Ilan Kremer & Andrzej Skrzypacz, 2005. "Bidding with Securities: Auctions and Security Design," American Economic Review, American Economic Association, vol. 95(4), pages 936-959, September.
    4. Byoung Jun & Elmar Wolfstetter, 2014. "Security bid auctions for agency contracts," Review of Economic Design, Springer;Society for Economic Design, vol. 18(4), pages 289-319, December.
    5. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    6. Toikka, Juuso, 2011. "Ironing without control," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2510-2526.
    7. Samuelson, William, 1987. "Auctions with Contingent Payments: Comment," American Economic Review, American Economic Association, vol. 77(4), pages 740-745, September.
    8. Takeharu Sogo & Dan Bernhardt & Tingjun Liu, 2016. "Endogenous Entry to Security-Bid Auctions," American Economic Review, American Economic Association, vol. 106(11), pages 3577-3589, November.
    9. 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.
    10. Yeon-Koo Che & Jinwoo Kim, 2010. "Bidding with Securities: Comment," American Economic Review, American Economic Association, vol. 100(4), pages 1929-1935, September.
    11. Alexander S. Gorbenko & Andrey Malenko, 2011. "Competition among Sellers in Securities Auctions," American Economic Review, American Economic Association, vol. 101(5), pages 1806-1841, August.
    12. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    13. Skrzypacz, Andrzej, 2013. "Auctions with contingent payments — An overview," International Journal of Industrial Organization, Elsevier, vol. 31(5), pages 666-675.
    14. 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.
    15. Sandro Brusco & Giuseppe Lopomo & David T. Robinson & S. Viswanathan, 2007. "Efficient Mechanisms For Mergers And Acquisitions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(3), pages 995-1035, August.
    16. 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.
    17. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    18. Shimon Kogan & John Morgan, 2010. "Securities Auctions under Moral Hazard: An Experimental Study," Review of Finance, European Finance Association, vol. 14(3), pages 477-520.
    19. Liu, Tingjun, 2016. "Optimal equity auctions with heterogeneous bidders," Journal of Economic Theory, Elsevier, vol. 166(C), pages 94-123.
    20. Abhishek, Vineet & Hajek, Bruce & Williams, Steven R., 2013. "Auctions with a profit sharing contract," Games and Economic Behavior, Elsevier, vol. 77(1), pages 247-270.
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    Cited by:

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