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Nonparametric Adverse Selection Problems

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Abstract

This article is devoted to adverse selection problems in which individual private information is a whole utility function and cannot be reduced to some finite-dimensional parameter. In this case, incentive-compatibility conditions can be conveniently expressed using some abstract convexity notions arising for instance in Mass Transfer Theory. After this characterization is provided, an existence result of optimal incentive-compatible contracts is proved. Finally, several economic examples are considered including applications to regulation and labor contracting.

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References

  1. E.J. Balder, On the existence of optimal contract mechanisms for incomplete information principalagent models, Journal of Economic Theory (1996).

  2. D. Baron and R. Myerson, Regulating a monopolist with unknown costs, Econometrica 50 (1982).

  3. Y. Brenier, Polar factorization and monotone rearrangements of vector valued functions, Communications in Pure and Applied Mathematics 44 (1991).

  4. R.J.McCann andW. Gangbo, The geometry of optimal transportation, Acta Mathematica 177 (1996).

  5. G. Carlier, A general existence result for the principal-agent problem with adverse selection, Journal of Mathematical Economics 35 (2001) 129-150.

    Google Scholar 

  6. P. Choné, Étude de quelques problèmes variationnels intervenant en géométrie riemannienne et en économie mathématique, Ph.D. thesis, University Toulouse I (1999).

  7. I. Ekeland and R. Temam, Convex Analysis and Variational Problems (North-Holland, 1972).

  8. J.J. Laffont and J. Tirole, Using cost observation to regulate firms, Journal of Political Economy 94 (1986).

  9. V. Levin, Abstract cyclical monotonicity and Monge solutions for the general Monge-Kantorovich problem, Set-Valued Analysis 7 (1999).

  10. V. Levin, Reduced cost functions and their applications, Journal of Mathematical Economics 28 (1997).

  11. T.R. Lewis and E.M. Sappington, Regulating a monopolist with unknown demand and cost functions, RAND Journal of Economics 19 (1988).

  12. M. Mussa and S. Rosen, Monopoly and product quality, Journal of Economic Theory 18 (1978).

  13. F.H. Page, Optimal contract mechanisms for principal-agent problems with moral hazard and adverse selection, Economic Theory (1991).

  14. J.-C. Rochet, Monopoly regulation with two-dimensional uncertainty, Discussion paper, CEREMADE (1984).

  15. J.-C. Rochet, A necessary and sufficient condition for rationalizability in a quasi-linear context, Journal of Mathematical Economics 16 (1987).

  16. J.-C. Rochet and P. Choné, Ironing, sweeping and multidimensional screening, Econometrica (1998).

  17. R.T. Rockafellar, Convex Analysis (Princeton University Press, 1970).

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Carlier, G. Nonparametric Adverse Selection Problems. Annals of Operations Research 114, 71–82 (2002). https://doi.org/10.1023/A:1021001917492

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  • DOI: https://doi.org/10.1023/A:1021001917492

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