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Verifiability and Group Formation in Markets

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  • Suzanne Scotchmer
  • Chris Shannon

Abstract

We consider group formation in markets with asymmetric information. Our model nests standard matching problems, including one-to-one, many-to-one, and many-to-many matching, as well as matching with salaries or contracts and matching with incomplete information. Prices for group positions and private goods as well as the groups that form are determined endogenously in equilibrium, as a result of demand and supply forces. The setup includes problems as diverse as moral hazard in teams, screening on ability, and mechanism design. Our analysis, including the definition of equilibrium and existence, revolves around the randomness in matching. Our main results characterize the limits on efficiency in such a general equilibrium, and show that a sufficiently rich set of group types can ensure the existence of an efficient equilibrium.
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  • Suzanne Scotchmer & Chris Shannon, 2010. "Verifiability and Group Formation in Markets," Levine's Working Paper Archive 661465000000000289, David K. Levine.
    • Handle: RePEc:cla:levarc:661465000000000289
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    1. Cole, Harold L. & Mailath, George J. & Postlewaite, Andrew, 2001. "Efficient Non-Contractible Investments in Large Economies," Journal of Economic Theory, Elsevier, vol. 101(2), pages 333-373, December.
    2. Alberto Bisin & Danilo Guaitoli, 2004. "Moral Hazard and Nonexclusive Contracts," RAND Journal of Economics, The RAND Corporation, vol. 35(2), pages 306-328, Summer.
    3. Judd, Kenneth L., 1985. "The law of large numbers with a continuum of IID random variables," Journal of Economic Theory, Elsevier, vol. 35(1), pages 19-25, February.
    4. Sun, Yeneng, 1998. "A theory of hyperfinite processes: the complete removal of individual uncertainty via exact LLN1," Journal of Mathematical Economics, Elsevier, vol. 29(4), pages 419-503, May.
    5. Patrick Legros & Andrew F. Newman, 2007. "Beauty Is a Beast, Frog Is a Prince: Assortative Matching with Nontransferabilities," Econometrica, Econometric Society, vol. 75(4), pages 1073-1102, July.
    6. William R. Zame, 2007. "Incentives, Contracts, and Markets: A General Equilibrium Theory of Firms," Econometrica, Econometric Society, vol. 75(5), pages 1453-1500, September.
    7. Ellickson, Bryan & Grodal, Birgit & Scotchmer, Suzanne & Zame, William R., 2001. "Clubs and the Market: Large Finite Economies," Journal of Economic Theory, Elsevier, vol. 101(1), pages 40-77, November.
    8. Patrick Legros & Andrew Newman, 2007. "Beauty is a beast, frog is a prince :assortative matching in a nontransferable world," ULB Institutional Repository 2013/7022, ULB -- Universite Libre de Bruxelles.
    9. Alberto Bisin & Piero Gottardi, 2006. "Efficient Competitive Equilibria with Adverse Selection," Journal of Political Economy, University of Chicago Press, vol. 114(3), pages 485-516, June.
    10. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 23-38.
    11. Michael Peters, 2001. "Surplus Extraction and Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(3), pages 613-631.
    12. Ausubel Lawrence M & Milgrom Paul R, 2002. "Ascending Auctions with Package Bidding," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 1(1), pages 1-44, August.
    13. Patrick Legros & Andrew F. Newman, 2008. "Competing for Ownership," Journal of the European Economic Association, MIT Press, vol. 6(6), pages 1279-1308, December.
    14. Michael Peters, 1997. "A Competitive Distribution of Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(1), pages 97-123.
    15. Cass, David & Chichilnisky, Graciela & Wu, Ho-Mou, 1996. "Individual Risk and Mutual Insurance," Econometrica, Econometric Society, vol. 64(2), pages 333-341, March.
    16. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
    17. 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.
    18. Prescott, Edward C & Townsend, Robert M, 1984. "Pareto Optima and Competitive Equilibria with Adverse Selection and Moral Hazard," Econometrica, Econometric Society, vol. 52(1), pages 21-45, January.
    19. Alvin E. Roth, 1985. "Conflict and Coincidence of Interest in Job Matching: Some New Results and Open Questions," Mathematics of Operations Research, INFORMS, vol. 10(3), pages 379-389, August.
    20. Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William R. Zame, 1999. "Clubs and the Market," Econometrica, Econometric Society, vol. 67(5), pages 1185-1218, September.
    21. Fuhito Kojima & Parag A. Pathak, 2009. "Incentives and Stability in Large Two-Sided Matching Markets," American Economic Review, American Economic Association, vol. 99(3), pages 608-627, June.
    22. Daron Acemoglu & Alp Simsek, 2010. "Moral Hazard and Efficiency in General Equilibrium with Anonymous Trading," Levine's Working Paper Archive 661465000000000232, David K. Levine.
    23. Jeremy Bulow & Jonathan Levin, 2006. "Matching and Price Competition," American Economic Review, American Economic Association, vol. 96(3), pages 652-668, June.
    24. Sun, Yeneng, 2006. "The exact law of large numbers via Fubini extension and characterization of insurable risks," Journal of Economic Theory, Elsevier, vol. 126(1), pages 31-69, January.
    25. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    26. Patrick Legros & Andrew F. Newman, 2013. "A Price Theory of Vertical and Lateral Integration," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 128(2), pages 725-770.
    27. Harold L. Cole & George J. Mailath & Andrew Postlewaite, "undated". "Efficient Non-Contractible Investments," Penn CARESS Working Papers 08d6793d32cab8f6e1f46dac0, Penn Economics Department.
    28. Magill, Michael & Quinzii, Martine, 2008. "Normative properties of stock market equilibrium with moral hazard," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 785-806, July.
    29. Cole, Harold L. & Prescott, Edward C., 1997. "Valuation Equilibrium with Clubs," Journal of Economic Theory, Elsevier, vol. 74(1), pages 19-39, May.
    30. Jerez, Belen, 2003. "A dual characterization of incentive efficiency," Journal of Economic Theory, Elsevier, vol. 112(1), pages 1-34, September.
    31. Roth, Alvin E, 1984. "Stability and Polarization of Interests in Job Matching," Econometrica, Econometric Society, vol. 52(1), pages 47-57, January.
    32. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    33. Bisin, Alberto & Gottardi, Piero, 1999. "Competitive Equilibria with Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 87(1), pages 1-48, July.
    34. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
    35. Legros, Patrick & Newman, Andrew F., 1996. "Wealth Effects, Distribution, and the Theory of Organization," Journal of Economic Theory, Elsevier, vol. 70(2), pages 312-341, August.
    36. Bisin, A. & Geanakoplos, J.D. & Gottardi, P. & Minelli, E. & Polemarchakis, H., 2011. "Markets and contracts," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 279-288.
    37. Belen Jerez, 2005. "Incentive Compatibility and Pricing under Moral Hazard," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(1), pages 28-47, January.
    38. Alessandro Citanna & Antonio Villanacci, 2002. "Competitive equilibrium with moral hazard in economies with multiple commodities," Post-Print hal-00463221, HAL.
    39. Pradeep Dubey & John Geanakoplos & Martin Shubik, 2005. "Default and Punishment in General Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 1-37, January.
    40. Edward Simpson Prescott & Robert M. Townsend, 2006. "Firms as Clubs in Walrasian Markets with Private Information," Journal of Political Economy, University of Chicago Press, vol. 114(4), pages 644-671, August.
    41. Citanna, Alessandro & Villanacci, Antonio, 2002. "Competitive equilibrium with moral hazard in economies with multiple commodities," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 117-147, September.
    42. Edward J. Green & Ruilin Zhou, 2002. "Dynamic Monetary Equilibrium in a Random Matching Economy," Econometrica, Econometric Society, vol. 70(3), pages 929-969, May.
    43. 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.
    44. Malinvaud, E, 1973. "Markets for an Exchange Economy with Individual Risks," Econometrica, Econometric Society, vol. 41(3), pages 383-410, May.
    45. repec:oup:restud:v:84:y::i:1:p:444-463. is not listed on IDEAS
    46. Qingmin Liu & George J. Mailath & Andrew Postlewaite & Larry Samuelson, 2014. "Stable Matching With Incomplete Information," Econometrica, Econometric Society, vol. 82(2), pages 541-587, March.
    47. Paolo Siconolfi & Aldo Rustichini, 2012. "Economies with Observable Types," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(1), pages 57-71, January.
    48. Elliott Peranson & Alvin E. Roth, 1999. "The Redesign of the Matching Market for American Physicians: Some Engineering Aspects of Economic Design," American Economic Review, American Economic Association, vol. 89(4), pages 748-780, September.
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    More about this item

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D2 - Microeconomics - - Production and Organizations
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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