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Adverse selection without single crossing: Monotone solutions

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  • Schottmüller, Christoph

Abstract

The single-crossing assumption simplifies the analysis of screening models as local incentive compatibility becomes sufficient for global incentive compatibility. If single crossing is violated, global incentive compatibility constraints have to be taken into account. This paper studies monotone solutions in a screening model that allows a one-time violation of single crossing.

Suggested Citation

  • Schottmüller, Christoph, 2015. "Adverse selection without single crossing: Monotone solutions," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 127-164.
  • Handle: RePEc:eee:jetheo:v:158:y:2015:i:pa:p:127-164
    DOI: 10.1016/j.jet.2015.04.002
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    1. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
    2. Bruno Jullien & Bernard Salanié & François Salanié, 2007. "Screening risk-averse agents under moral hazard: single-crossing and the CARA case," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(1), pages 151-169, January.
    3. Matthews, Steven & Moore, John, 1987. "Monopoly Provision of Quality and Warranties: An Exploration in the Theory of Multidimensional Screening," Econometrica, Econometric Society, vol. 55(2), pages 441-467, March.
    4. Patrick Bolton & Mathias Dewatripont, 2005. "Contract Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262025760, April.
    5. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, April.
    6. Rochet, Jean-Charles, 2009. "Monopoly regulation without the Spence-Mirrlees assumption," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 693-700, September.
    7. Smart, Michael, 2000. "Competitive Insurance Markets with Two Unobservables," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(1), pages 153-169, February.
    8. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
    9. James Andreoni & B. Douglas Bernheim, 2009. "Social Image and the 50-50 Norm: A Theoretical and Experimental Analysis of Audience Effects," Econometrica, Econometric Society, vol. 77(5), pages 1607-1636, September.
    10. Baron, David P & Myerson, Roger B, 1982. "Regulating a Monopolist with Unknown Costs," Econometrica, Econometric Society, vol. 50(4), pages 911-930, July.
    11. Laffont, Jean-Jacques & Tirole, Jean, 1987. "Auctioning Incentive Contracts," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 921-937, October.
    12. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    13. Martin F. Hellwig, 2010. "Incentive Problems With Unidimensional Hidden Characteristics: A Unified Approach," Econometrica, Econometric Society, vol. 78(4), pages 1201-1237, July.
    14. Araujo, Aloisio & Moreira, Humberto, 2010. "Adverse selection problems without the Spence-Mirrlees condition," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1113-1141, May.
    15. Moore, John, 1984. "Global Incentive Constraints in Auction Design," Econometrica, Econometric Society, vol. 52(6), pages 1523-1535, November.
    16. Nick Netzer & Florian Scheuer, 2010. "Competitive screening in insurance markets with endogenous wealth heterogeneity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(2), pages 187-211, August.
    17. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    18. Jullien, Bruno, 2000. "Participation Constraints in Adverse Selection Models," Journal of Economic Theory, Elsevier, vol. 93(1), pages 1-47, July.
    19. Aloisio Araujo & Daniel Gottlieb & Humberto Moreira, 2007. "A model of mixed signals with applications to countersignalling," RAND Journal of Economics, RAND Corporation, vol. 38(4), pages 1020-1043, December.
    20. Bernheim, B Douglas, 1994. "A Theory of Conformity," Journal of Political Economy, University of Chicago Press, vol. 102(5), pages 841-877, October.
    21. Marco Battaglini & Rohit Lamba, 2012. "Optimal Dynamic Contracting," Working Papers 1431, Princeton University, Department of Economics, Econometric Research Program..
    22. Beard, T Randolph & Caudill, Steven B & Gropper, Daniel M, 1991. "Finite Mixture Estimation of Multiproduct Cost Functions," The Review of Economics and Statistics, MIT Press, vol. 73(4), pages 654-664, November.
    23. Guasch, J Luis & Weiss, Andrew, 1981. "Self-Selection in the Labor Market," American Economic Review, American Economic Association, vol. 71(3), pages 275-284, June.
    24. David Martimort & Lars Stole, 2009. "Market participation in delegated and intrinsic common‐agency games," RAND Journal of Economics, RAND Corporation, vol. 40(1), pages 78-102, March.
    25. Gabriel Carroll, 2012. "When Are Local Incentive Constraints Sufficient?," Econometrica, Econometric Society, vol. 80(2), pages 661-686, March.
    26. Bagwell, Laurie Simon & Bernheim, B Douglas, 1996. "Veblen Effects in a Theory of Conspicuous Consumption," American Economic Review, American Economic Association, vol. 86(3), pages 349-373, June.
    27. Hoffmann, Florian & Inderst, Roman, 2011. "Pre-sale information," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2333-2355.
    28. Giacomo Calzolari, 2004. "Incentive Regulation of Multinational Enterprises," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(1), pages 257-282, February.
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    Cited by:

    1. Kerkkamp, R.B.O. & van den Heuvel, W. & Wagelmans, A.P.M., 2018. "Two-echelon supply chain coordination under information asymmetry with multiple types," Omega, Elsevier, vol. 76(C), pages 137-159.
    2. Krähmer, Daniel & Strausz, Roland, 2017. "Sequential versus static screening: An equivalence result," Games and Economic Behavior, Elsevier, vol. 106(C), pages 317-328.
    3. Chia‐Hui Chen & Junichiro Ishida & Wing Suen, 2022. "Signaling Under Double‐Crossing Preferences," Econometrica, Econometric Society, vol. 90(3), pages 1225-1260, May.
    4. Figueroa, Nicolás & Guadalupi, Carla, 2023. "Signaling through tests," The Quarterly Review of Economics and Finance, Elsevier, vol. 92(C), pages 25-34.
    5. Chia-Hui Chen & Junichiro Ishida & Wing Suen, 2020. "Signaling under Double-Crossing Preferences," ISER Discussion Paper 1103r, Institute of Social and Economic Research, Osaka University, revised Dec 2020.
    6. Pishchulov, Grigory & Richter, Knut, 2016. "Optimal contract design in the joint economic lot size problem with multi-dimensional asymmetric information," European Journal of Operational Research, Elsevier, vol. 253(3), pages 711-733.

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    More about this item

    Keywords

    Spence–Mirrlees condition; Global incentive compatibility; Screening;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law

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