IDEAS home Printed from https://ideas.repec.org/p/bca/bocawp/17-15.html
   My bibliography  Save this paper

Constrained Efficiency with Adverse Selection and Directed Search

Author

Listed:
  • Mohammad Davoodalhosseini

Abstract

Constrained efficient allocation (CE) is characterized in a model of adverse selection and directed search (Guerrieri, Shimer, and Wright (2010)). CE is defined to be the allocation that maximizes welfare, the ex-ante utility of all agents, subject to the frictions of the environment. When equilibrium does not achieve the first best (the allocation that maximizes welfare under complete information), then welfare in the CE is strictly higher than welfare in the equilibrium allocation. That is, equilibrium is not constrained efficient. Under some conditions, welfare in the CE even attains welfare in the first best. Finally, sufficient conditions are provided under which equilibrium is not constrained Pareto efficient, either. Cross-subsidization is the key to all these results. In an asset market application, the first best is shown to be implementable through tax schedules that are monotone in the asset prices.

Suggested Citation

  • Mohammad Davoodalhosseini, 2017. "Constrained Efficiency with Adverse Selection and Directed Search," Staff Working Papers 17-15, Bank of Canada.
  • Handle: RePEc:bca:bocawp:17-15
    as

    Download full text from publisher

    File URL: https://www.bankofcanada.ca/wp-content/uploads/2017/04/swp2017-15.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Myerson, Roger B, 1983. "Mechanism Design by an Informed Principal," Econometrica, Econometric Society, vol. 51(6), pages 1767-1797, November.
    2. Daron Acemoglu & Robert Shimer, 1999. "Efficient Unemployment Insurance," Journal of Political Economy, University of Chicago Press, vol. 107(5), pages 893-928, October.
    3. Cai, Xiaoming & Gautier, Pieter A. & Wolthoff, Ronald P., 2017. "Search frictions, competing mechanisms and optimal market segmentation," Journal of Economic Theory, Elsevier, vol. 169(C), pages 453-473.
    4. Galenianos, Manolis & Kircher, Philipp, 2009. "Directed search with multiple job applications," Journal of Economic Theory, Elsevier, vol. 144(2), pages 445-471, March.
    5. Engers, Maxim, 1987. "Signalling with Many Signals," Econometrica, Econometric Society, vol. 55(3), pages 663-674, May.
    6. Veronica Guerrieri & Robert Shimer & Randall Wright, 2010. "Adverse Selection in Competitive Search Equilibrium," Econometrica, Econometric Society, vol. 78(6), pages 1823-1862, November.
    7. Fuchs, William & Skrzypacz, Andrzej, 2015. "Government interventions in a dynamic market with adverse selection," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 371-406.
    8. Dale T. Mortensen & Randall Wright, 2002. "Competitive Pricing and Efficiency in Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(1), pages 1-20, February.
    9. Veronica Guerrieri & Robert Shimer, 2014. "Dynamic Adverse Selection: A Theory of Illiquidity, Fire Sales, and Flight to Quality," American Economic Review, American Economic Association, vol. 104(7), pages 1875-1908, July.
    10. Douglas Gale, 1996. "Equilibria and Pareto optima of markets with adverse selection (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 207-235.
    11. Jonathan Chiu & Thorsten V. Koeppl, 2016. "Trading Dynamics with Adverse Selection and Search: Market Freeze, Intervention and Recovery," Review of Economic Studies, Oxford University Press, vol. 83(3), pages 969-1000.
    12. Benjamin Lester & Ali Shourideh & Venky Venkateswaran & Ariel Zetlin-Jones, 2019. "Screening and Adverse Selection in Frictional Markets," Journal of Political Economy, University of Chicago Press, vol. 127(1), pages 338-377.
    13. Menzio, Guido & Shi, Shouyong & Sun, Hongfei, 2013. "A monetary theory with non-degenerate distributions," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2266-2312.
    14. Randall Wright & Philipp Kircher & Benoit Julîen & Veronica Guerrieri, 2017. "Directed Search: A Guided Tour," NBER Working Papers 23884, National Bureau of Economic Research, Inc.
    15. Hajime Miyazaki, 1977. "The Rat Race and Internal Labor Markets," Bell Journal of Economics, The RAND Corporation, vol. 8(2), pages 394-418, Autumn.
    16. Camargo, Braz & Lester, Benjamin, 2014. "Trading dynamics in decentralized markets with adverse selection," Journal of Economic Theory, Elsevier, vol. 153(C), pages 534-568.
    17. Moreno, Diego & Wooders, John, 2016. "Dynamic markets for lemons: performance, liquidity, and policy intervention," Theoretical Economics, Econometric Society, vol. 11(2), May.
    18. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
    19. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-1819, November.
    20. In-Koo Cho & David M. Kreps, 1987. "Signaling Games and Stable Equilibria," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(2), pages 179-221.
    21. Pradeep Dubey & John Geanakoplos, 2002. "Competitive Pooling: Rothschild-Stiglitz Reconsidered," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(4), pages 1529-1570.
    22. Shouyong Shi, 2009. "Directed Search for Equilibrium Wage-Tenure Contracts," Econometrica, Econometric Society, vol. 77(2), pages 561-584, March.
    23. Jullien, Bruno, 2000. "Participation Constraints in Adverse Selection Models," Journal of Economic Theory, Elsevier, vol. 93(1), pages 1-47, July.
    24. Espen R. Moen & Åsa Rosén, 2011. "Incentives in Competitive Search Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(2), pages 733-761.
    25. Guido Menzio & Shouyong Shi, 2011. "Efficient Search on the Job and the Business Cycle," Journal of Political Economy, University of Chicago Press, vol. 119(3), pages 468-510.
    26. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    27. Jan Eeckhout & Philipp Kircher, 2010. "Sorting and Decentralized Price Competition," Econometrica, Econometric Society, vol. 78(2), pages 539-574, March.
    28. Thomas Philippon & Vasiliki Skreta, 2012. "Optimal Interventions in Markets with Adverse Selection," American Economic Review, American Economic Association, vol. 102(1), pages 1-28, February.
    29. Jonathan Chiu & Thorsten V. Koeppl, 2016. "Trading Dynamics with Adverse Selection and Search: Market Freeze, Intervention and Recovery," Review of Economic Studies, Oxford University Press, vol. 83(3), pages 969-1000.
    30. Lester, Benjamin & Visschers, Ludo & Wolthoff, Ronald, 2015. "Meeting technologies and optimal trading mechanisms in competitive search markets," Journal of Economic Theory, Elsevier, vol. 155(C), pages 1-15.
    31. Inderst, Roman & Wambach, Achim, 2001. "Competitive insurance markets under adverse selection and capacity constraints," European Economic Review, Elsevier, vol. 45(10), pages 1981-1992, December.
    32. Christopher A. Pissarides, 2000. "Equilibrium Unemployment Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161877, December.
    33. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    34. Peters, Michael & Severinov, Sergei, 1997. "Competition among Sellers Who Offer Auctions Instead of Prices," Journal of Economic Theory, Elsevier, vol. 75(1), pages 141-179, July.
    35. Nick Netzer & Florian Scheuer, 2014. "A Game Theoretic Foundation Of Competitive Equilibria With Adverse Selection," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 399-422, May.
    36. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
    37. Seyed Mohammadreza Davoodalhosseini, 2020. "Adverse Selection With Heterogeneously Informed Agents," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(3), pages 1307-1358, August.
    38. Riley, John G, 1979. "Informational Equilibrium," Econometrica, Econometric Society, vol. 47(2), pages 331-359, March.
    39. Severinov, Sergei, 2008. "An efficient solution to the informed principal problem," Journal of Economic Theory, Elsevier, vol. 141(1), pages 114-133, July.
    40. Yu (Sonja) Chen & Matthew Doyle & Francisco M. Gonzalez, "undated". "Mismatch as choice," Working Papers 2017-04, Department of Economics, University of Calgary, revised 15 May 2017.
      • Francisco M. Gonzalez & Yu Chen & Matthew Doyle, 2017. "Mismatch As Choice," Working Papers 1702, University of Waterloo, Department of Economics, revised May 2017.
    41. James Albrecht & Pieter A. Gautier & Susan Vroman, 2014. "Efficient Entry in Competing Auctions," American Economic Review, American Economic Association, vol. 104(10), pages 3288-3296, October.
    42. Davoodalhosseini, Seyed Mohammadreza, 2019. "Constrained efficiency with adverse selection and directed search," Journal of Economic Theory, Elsevier, vol. 183(C), pages 568-593.
    43. Spence, Michael, 1978. "Product differentiation and performance in insurance markets," Journal of Public Economics, Elsevier, vol. 10(3), pages 427-447, December.
    44. Mikhail Golosov & Pricila Maziero & Guido Menzio, 2013. "Taxation and Redistribution of Residual Income Inequality," Journal of Political Economy, University of Chicago Press, vol. 121(6), pages 1160-1204.
    45. Shi, Shouyong, 2001. "Frictional Assignment. I. Efficiency," Journal of Economic Theory, Elsevier, vol. 98(2), pages 232-260, June.
    46. Bruce C. Greenwald & Joseph E. Stiglitz, 1986. "Externalities in Economies with Imperfect Information and Incomplete Markets," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(2), pages 229-264.
    47. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    48. George Akerlof, 1976. "The Economics of Caste and of the Rat Race and Other Woeful Tales," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(4), pages 599-617.
    49. Robert Shimer, 2005. "The Assignment of Workers to Jobs in an Economy with Coordination Frictions," Journal of Political Economy, University of Chicago Press, vol. 113(5), pages 996-1025, October.
    50. Delacroix, Alain & Shi, Shouyong, 2013. "Pricing and signaling with frictions," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1301-1332.
    51. George A. Akerlof, 1970. "The Market for "Lemons": Quality Uncertainty and the Market Mechanism," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 84(3), pages 488-500.
    52. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
    53. Pradeep Dubey & John Geanakoplos & Martin Shubik, 2005. "Default and Punishment in General Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 1-37, January.
    54. Veronica Guerrieri, 2008. "Inefficient Unemployment Dynamics under Asymmetric Information," Journal of Political Economy, University of Chicago Press, vol. 116(4), pages 667-708, August.
    55. Briana Chang, 2018. "Adverse Selection and Liquidity Distortion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(1), pages 275-306.
    56. Maskin, Eric & Tirole, Jean, 1992. "The Principal-Agent Relationship with an Informed Principal, II: Common Values," Econometrica, Econometric Society, vol. 60(1), pages 1-42, January.
    57. Jean Tirole, 2012. "Overcoming Adverse Selection: How Public Intervention Can Restore Market Functioning," American Economic Review, American Economic Association, vol. 102(1), pages 29-59, February.
    58. Shouyong Shi, 2002. "A Directed Search Model of Inequality with Heterogeneous Skills and Skill-Biased Technology," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(2), pages 467-491.
    59. Acemoglu, Daron & Shimer, Robert, 1999. "Holdups and Efficiency with Search Frictions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 827-849, November.
    60. Douglas Gale, 1992. "A Walrasian Theory of Markets with Adverse Selection," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(2), pages 229-255.
    61. Balkenborg, Dieter & Makris, Miltiadis, 2015. "An undominated mechanism for a class of informed principal problems with common values," Journal of Economic Theory, Elsevier, vol. 157(C), pages 918-958.
    62. Mailath George J. & Okuno-Fujiwara Masahiro & Postlewaite Andrew, 1993. "Belief-Based Refinements in Signalling Games," Journal of Economic Theory, Elsevier, vol. 60(2), pages 241-276, August.
    63. Michael Rothschild & Joseph Stiglitz, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(4), pages 629-649.
    64. Peters, Michael, 1991. "Ex Ante Price Offers in Matching Games Non-steady States," Econometrica, Econometric Society, vol. 59(5), pages 1425-1454, September.
    65. Wilson, Charles, 1977. "A model of insurance markets with incomplete information," Journal of Economic Theory, Elsevier, vol. 16(2), pages 167-207, December.
    66. Cella, Michela, 2008. "Informed principal with correlation," Games and Economic Behavior, Elsevier, vol. 64(2), pages 433-456, November.
    67. Faig, Miquel & Jerez, Belen, 2005. "A theory of commerce," Journal of Economic Theory, Elsevier, vol. 122(1), pages 60-99, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ehrenfried, Felix & Holzner, Christian, 2019. "Dynamics and endogeneity of firms’ recruitment behaviour," Labour Economics, Elsevier, vol. 57(C), pages 63-84.
    2. Naoki Aizawa & Soojin Kim & Serena Rhee, 2020. "Labor Market Screening and the Design of Social Insurance: An Equilibrium Analysis of the Labor Market for the Disabled," NBER Working Papers 27478, National Bureau of Economic Research, Inc.
    3. Randall Wright & Philipp Kircher & Benoit Julîen & Veronica Guerrieri, 2017. "Directed Search: A Guided Tour," NBER Working Papers 23884, National Bureau of Economic Research, Inc.
    4. Auster, Sarah & Gottardi, Piero, 2019. "Competing mechanisms in markets for lemons," Theoretical Economics, Econometric Society, vol. 14(3), July.
    5. Davoodalhosseini, Seyed Mohammadreza, 2022. "Optimal taxation in asset markets with adverse selection," European Economic Review, Elsevier, vol. 147(C).
    6. Seyed Mohammadreza Davoodalhosseini, 2020. "Adverse Selection With Heterogeneously Informed Agents," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(3), pages 1307-1358, August.
    7. Davoodalhosseini, Seyed Mohammadreza, 2019. "Constrained efficiency with adverse selection and directed search," Journal of Economic Theory, Elsevier, vol. 183(C), pages 568-593.
    8. Fernández-Blanco, Javier, 2022. "Unemployment risks and intra-household insurance," Journal of Economic Theory, Elsevier, vol. 203(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Davoodalhosseini, Seyed Mohammadreza, 2022. "Optimal taxation in asset markets with adverse selection," European Economic Review, Elsevier, vol. 147(C).
    2. Auster, Sarah & Gottardi, Piero, 2019. "Competing mechanisms in markets for lemons," Theoretical Economics, Econometric Society, vol. 14(3), July.
    3. Mangin, Sephorah, 2017. "A theory of production, matching, and distribution," Journal of Economic Theory, Elsevier, vol. 172(C), pages 376-409.
    4. Seyed Mohammadreza Davoodalhosseini, 2020. "Adverse Selection With Heterogeneously Informed Agents," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(3), pages 1307-1358, August.
    5. Kircher, Philipp & Wright, Randall & Julien, Benoit & Guerrieri, Veronica, 2017. "Directed Search: A Guided Tour," CEPR Discussion Papers 12315, C.E.P.R. Discussion Papers.
    6. Diasakos, Theodoros M. & Koufopoulos, Kostas, 2018. "(Neutrally) Optimal Mechanism under Adverse Selection: The canonical insurance problem," Games and Economic Behavior, Elsevier, vol. 111(C), pages 159-186.
    7. Cai, Xiaoming & Gautier, Pieter A. & Wolthoff, Ronald P., 2017. "Search frictions, competing mechanisms and optimal market segmentation," Journal of Economic Theory, Elsevier, vol. 169(C), pages 453-473.
    8. Dosis, Anastasios, 2018. "On signalling and screening in markets with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 140-149.
    9. Jerez, Belén, 2017. "Competitive search equilibrium with multidimensional heterogeneity and two-sided ex-ante investments," Journal of Economic Theory, Elsevier, vol. 172(C), pages 202-219.
    10. Yu Chen & Matthew Doyle & Francisco Gonzalez, 2019. "Bad Jobs," Working Papers 1902, University of Waterloo, Department of Economics, revised Jan 2019.
    11. Mangin, Sephorah & Julien, Benoît, 2021. "Efficiency in search and matching models: A generalized Hosios condition," Journal of Economic Theory, Elsevier, vol. 193(C).
    12. Leo Kaas & Philipp Kircher, 2015. "Efficient Firm Dynamics in a Frictional Labor Market," American Economic Review, American Economic Association, vol. 105(10), pages 3030-3060, October.
    13. Yu (Sonja) Chen & Matthew Doyle & Francisco M. Gonzalez, "undated". "Mismatch as choice," Working Papers 2017-04, Department of Economics, University of Calgary, revised 15 May 2017.
      • Francisco M. Gonzalez & Yu Chen & Matthew Doyle, 2017. "Mismatch As Choice," Working Papers 1702, University of Waterloo, Department of Economics, revised May 2017.
    14. Jerez, Belén, 2014. "Competitive equilibrium with search frictions: A general equilibrium approach," Journal of Economic Theory, Elsevier, vol. 153(C), pages 252-286.
    15. Barsanetti, Bruno & Camargo, Braz, 2022. "Signaling in dynamic markets with adverse selection," Journal of Economic Theory, Elsevier, vol. 206(C).
    16. Madison, Florian, 2019. "Frictional asset reallocation under adverse selection," Journal of Economic Dynamics and Control, Elsevier, vol. 100(C), pages 115-130.
    17. Shi, Shouyong, 2016. "Customer relationship and sales," Journal of Economic Theory, Elsevier, vol. 166(C), pages 483-516.
    18. Chen, Yu & Doyle, Matthew & Gonzalez, Francisco M., 2024. "Wages as signals of worker mobility," Theoretical Economics, Econometric Society, vol. 19(1), January.
    19. Briana Chang, 2012. "Adverse Selection and Liquidity Distortion in Decentralized Markets," 2012 Meeting Papers 403, Society for Economic Dynamics.
    20. S. Mohammad R. Davoodalhosseini, 2014. "Constrained Efficiency with Search and Information Frictions," 2014 Papers pda658, Job Market Papers.

    More about this item

    Keywords

    Economic models; Financial markets; Financial system regulation and policies; Market structure and pricing;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • G1 - Financial Economics - - General Financial Markets
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials
    • J64 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Unemployment: Models, Duration, Incidence, and Job Search

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bca:bocawp:17-15. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/bocgvca.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.