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A crash course in implementation theory

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  • Matthew O. Jackson

    ()
    (Humanities and Social Sciences 228-77, California Institute of Technology, Pasadena, CA 91125, USA)

Abstract

This paper is meant to familiarize the audience with some of the fundamental results in the theory of implementation and provide a quick progression to some open questions in the literature.

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Bibliographic Info

Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 18 (2001)
Issue (Month): 4 ()
Pages: 655-708

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Handle: RePEc:spr:sochwe:v:18:y:2001:i:4:p:655-708

Note: Received: 26 March 2001/Accepted: 21 May 2001
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References

References listed on IDEAS
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  1. Naoki Yoshihara, 2000. "A characterization of natural and double implementation in production economies," Social Choice and Welfare, Springer, vol. 17(4), pages 571-599.
  2. Sjostrom, T., 1997. "Undominated Nash Implementation with Collusion and Renegociation," ISER Discussion Paper 0448, Institute of Social and Economic Research, Osaka University.
  3. Arya, Anil & Glover, Jonathan & Rajan, Uday, 2000. "Implementation in Principal-Agent Models of Adverse Selection," Journal of Economic Theory, Elsevier, vol. 93(1), pages 87-109, July.
  4. Hurwicz, Leonid & Schmeidler, David, 1978. "Construction of Outcome Functions Guaranteeing Existence and Pareto Optimality of Nash Equilibria," Econometrica, Econometric Society, vol. 46(6), pages 1447-74, November.
  5. Saglam, Ismail, 1997. "A Note on Jackson's Theorems in Bayesian Implementation," MPRA Paper 2330, University Library of Munich, Germany.
  6. Baliga, S. & Corchon, L.C. & Sjostrom, T., 1995. "The Theory of Implemetation when the Planner is a PLayer," Cambridge Working Papers in Economics 9512, Faculty of Economics, University of Cambridge.
  7. Nir Dagan & Roberto Serrano & Oscar Volij, 1999. "Feasible Implementation of Taxation Methods," Economic theory and game theory 009, Nir Dagan.
  8. Eliaz, K., 1999. "Fault Tolerant Implementation," Papers 21-99, Tel Aviv.
  9. Lu Hong, 1996. "Bayesian implementation in exchange economies with state dependent feasible sets and private information," Social Choice and Welfare, Springer, vol. 13(4), pages 433-444.
  10. JoseHerrero, Maria & Srivastava, Sanjay, 1992. "Implementation via backward induction," Journal of Economic Theory, Elsevier, vol. 56(1), pages 70-88, February.
  11. Mookherjee, Dilip & Reichelstein, Stefan, 1992. "Dominant strategy implementation of Bayesian incentive compatible allocation rules," Journal of Economic Theory, Elsevier, vol. 56(2), pages 378-399, April.
  12. Suh, Sang-Chul, 2001. "An algorithm for verifying double implementability in Nash and strong Nash equilibria," Mathematical Social Sciences, Elsevier, vol. 41(1), pages 103-110, January.
  13. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
  14. Danilov, Vladimir, 1992. "Implementation via Nash Equilibria," Econometrica, Econometric Society, vol. 60(1), pages 43-56, January.
  15. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
  16. Vartiainen, Hannu, 2007. "Subgame perfect implementation: A full characterization," Journal of Economic Theory, Elsevier, vol. 133(1), pages 111-126, March.
  17. Shin, Sungwhee & Suh, Sang-Chul, 1997. "Double Implementation by a Simple Game Form in the Commons Problem," Journal of Economic Theory, Elsevier, vol. 77(1), pages 205-213, November.
  18. Sandeep Baliga & Tomas Sjostrom, 1998. "Decentralization and Collusion," Discussion Papers 1210, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  19. Antonio Cabrales, 1996. "Adaptive dynamics and the implementation problem with complete information," Economics Working Papers 179, Department of Economics and Business, Universitat Pompeu Fabra.
  20. Matthew 0. Jackson, 1989. "Implementation in Undominated Strategies - A Look at Bounded Mechanisms," Discussion Papers 833, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  21. Suh, Sang-Chul, 1996. "Implementation with coalition formation: A complete characterization," Journal of Mathematical Economics, Elsevier, vol. 26(4), pages 409-428.
  22. Hiroaki Osana, 1997. "Nash-implementation of the weak Pareto choice rule for indecomposable environments," Review of Economic Design, Springer, vol. 3(1), pages 57-74.
  23. Pablo AmorÕs & Bernardo Moreno, 2001. "original papers : Implementation of optimal contracts under adverse selection," Review of Economic Design, Springer, vol. 6(1), pages 41-61.
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  26. Matthew, Jackson O. & Palfrey, Thomas R. & Srivastava, Sanjay., 1990. "Undominated Nash Implementation in Bounded Mechanism," Working Papers 754, California Institute of Technology, Division of the Humanities and Social Sciences.
  27. Bezalel Peleg, 1996. "Double implementation of the Lindahl equilibrium by a continuous mechanism," Review of Economic Design, Springer, vol. 2(1), pages 311-324, December.
  28. Thomson, W., 1996. "Monotonic Extension on Economic Domains," RCER Working Papers 431, University of Rochester - Center for Economic Research (RCER).
  29. Sandeep Baliga & Tomas Sjostrom, 1996. "Interactive Implementation," Harvard Institute of Economic Research Working Papers 1751, Harvard - Institute of Economic Research.
  30. Giraud, Gael & Rochon, Celine, 2002. "Consistent collusion-proofness and correlation in exchange economies," Journal of Mathematical Economics, Elsevier, vol. 38(4), pages 441-463, December.
  31. Chakravorti, B. & Corchon, L.C., 1992. "Credible Implementation," Papers 76, Bell Communications - Economic Research Group.
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  33. Dutta, Bhaskar & Jackson, Matthew O & Le Breton, Michel, 2001. "Strategic Candidacy and Voting Procedures," Econometrica, Econometric Society, vol. 69(4), pages 1013-37, July.
  34. Palfrey, Thomas R & Srivastava, Sanjay, 1989. "Implementation with Incomplete Information in Exchange Economies," Econometrica, Econometric Society, vol. 57(1), pages 115-34, January.
  35. Roberto Serrano & Rajiv Vohra, 1997. "Non-cooperative implementation of the core," Social Choice and Welfare, Springer, vol. 14(4), pages 513-525.
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  39. Saijo, Tatsuyoshi & Tatamitani, Yoshikatsu & Yamato, Takehiko, 1996. "Toward Natural Implementation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 949-80, November.
  40. Serrano Roberto, 1995. "A Market to Implement the Core," Journal of Economic Theory, Elsevier, vol. 67(1), pages 285-294, October.
  41. Matsushima Hitoshi, 1993. "Bayesian Monotonicity with Side Payments," Journal of Economic Theory, Elsevier, vol. 59(1), pages 107-121, February.
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  46. Tian Guoqiang & Li Qi, 1995. "On Nash-Implementation in the Presence of Withholding," Games and Economic Behavior, Elsevier, vol. 9(2), pages 222-233, May.
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  49. repec:fth:louvco:01-18 is not listed on IDEAS
  50. Arya Anil & Glover Jonathan & Young Richard, 1995. "Virtual Implementation in Separable Bayesian Environments Using Simple Mechanisms," Games and Economic Behavior, Elsevier, vol. 9(2), pages 127-138, May.
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  53. Palfrey, Thomas R & Srivastava, Sanjay, 1991. "Nash Implementation Using Undominated Strategies," Econometrica, Econometric Society, vol. 59(2), pages 479-501, March.
  54. Arya Anil & Glover Jonathan, 1995. "A Simple Forecasting Mechanism for Moral Hazard Settings," Journal of Economic Theory, Elsevier, vol. 66(2), pages 507-521, August.
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  63. Ma, Ching-To, 1988. "Unique Implementation of Incentive Contracts with Many Agents," Review of Economic Studies, Wiley Blackwell, vol. 55(4), pages 555-72, October.
  64. Matthew O. Jackson & Sandro Brusco, 1997. "The Optimal Design of a Market," Discussion Papers 1186, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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  71. Serrano, Roberto & Vohra, Rajiv, 2001. "Some Limitations of Virtual Bayesian Implementation," Econometrica, Econometric Society, vol. 69(3), pages 785-92, May.
  72. Luis Corchón & Carmen Herrero, 2004. "A decent proposal," Spanish Economic Review, Springer, vol. 6(2), pages 107-125, 07.
  73. Tadenuma, Koichi & Toda, Manabu, 1998. "Implementable stable solutions to pure matching problems," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 121-132, March.
  74. Rodriguez-Alvarez, Carmelo, 2003. "Candidate Stability And Probabilistic Voting Procedures," The Warwick Economics Research Paper Series (TWERPS) 667, University of Warwick, Department of Economics.
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  77. Tian, Guoqiang, 1996. "Continuous and Feasible Implementation of Rational-Expectations Lindahl Allocations," Games and Economic Behavior, Elsevier, vol. 16(1), pages 135-151, September.
  78. Brusco, Sandro, 1998. "Unique Implementation of the Full Surplus Extraction Outcome in Auctions with Correlated Types," Journal of Economic Theory, Elsevier, vol. 80(2), pages 185-200, June.
  79. Hurwicz, L, 1979. "Outcome Functions Yielding Walrasian and Lindahl Allocations at Nash Equilibrium Points," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 217-25, April.
  80. Boylan, Richard T., 1998. "Coalition-Proof Implementation," Journal of Economic Theory, Elsevier, vol. 82(1), pages 132-143, September.
  81. Mookherjee, Dilip & Reichelstein, Stefan, 1990. "Implementation via Augmented Revelation Mechanisms," Review of Economic Studies, Wiley Blackwell, vol. 57(3), pages 453-75, July.
  82. Eraslan, H.Hulya & McLennan, Andrew, 2004. "Strategic candidacy for multivalued voting procedures," Journal of Economic Theory, Elsevier, vol. 117(1), pages 29-54, July.
  83. Lu Hong & Scott Page, 1994. "Reducing informational costs in endowment mechanisms," Review of Economic Design, Springer, vol. 1(1), pages 103-117, December.
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  89. Palfrey, Thomas R. & Srivastava, Sanjay, 1986. "Private information in large economies," Journal of Economic Theory, Elsevier, vol. 39(1), pages 34-58, June.
  90. Bagnoli, Mark & Lipman, Barton L, 1989. "Provision of Public Goods: Fully Implementing the Core through Private Contributions," Review of Economic Studies, Wiley Blackwell, vol. 56(4), pages 583-601, October.
  91. Yamato, Takehiko, 1992. "On nash implementation of social choice correspondences," Games and Economic Behavior, Elsevier, vol. 4(3), pages 484-492, July.
  92. Tian, Guoqiang, 1989. "Implementation of the Lindahl Correspondence by a Single-Valued, Feasible, and Continuous Mechanism," Review of Economic Studies, Wiley Blackwell, vol. 56(4), pages 613-21, October.
  93. Piketty Thomas, 1993. "Implementation of First-Best Allocations via Generalized Tax Schedules," Journal of Economic Theory, Elsevier, vol. 61(1), pages 23-41, October.
  94. Wettstein, David, 1992. "Continuous implementation in economics with incomplete information," Games and Economic Behavior, Elsevier, vol. 4(3), pages 463-483, July.
  95. Chattopadhyay, Subir & Luis C. Corchon & J�rg Naeve, 1998. "Contingent Commodities and Implementation," Discussion Paper Serie A 572, University of Bonn, Germany.
  96. Sonmez, Tayfun, 1996. "Implementation in generalized matching problems," Journal of Mathematical Economics, Elsevier, vol. 26(4), pages 429-439.
  97. Glazer, Jacob & Rosenthal, Robert W, 1992. "A Note on Abreu-Matsushima Mechanisms," Econometrica, Econometric Society, vol. 60(6), pages 1435-38, November.
  98. Moore, John & Repullo, Rafael, 1988. "Subgame Perfect Implementation," Econometrica, Econometric Society, vol. 56(5), pages 1191-1220, September.
  99. Blume, Lawrence & Easley, David, 1990. "Implementation of Walrasian expectations equilibria," Journal of Economic Theory, Elsevier, vol. 51(1), pages 207-227, June.
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  104. Abreu Dilip & Matsushima Hitoshi, 1994. "Exact Implementation," Journal of Economic Theory, Elsevier, vol. 64(1), pages 1-19, October.
  105. Shinsuke Nakamura, 1998. "Impossibility of Nash implementation in two-person economies," Review of Economic Design, Springer, vol. 3(2), pages 159-165.
  106. Palfrey, Thomas R & Srivastava, Sanjay, 1989. "Mechanism Design with Incomplete Information: A Solution to the Implementation Problem," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 668-91, June.
  107. Mas-Colell, Andreu & Vives, Xavier, 1993. "Implementation in Economies with a Continuum of Agents," Review of Economic Studies, Wiley Blackwell, vol. 60(3), pages 613-29, July.
  108. Shin, Sungwhee & Suh, Sang-Chul, 1996. "A mechanism implementing the stable rule in marriage problems," Economics Letters, Elsevier, vol. 51(2), pages 185-189, May.
  109. John Duggan, 1997. "Virtual Bayesian Implementation," Econometrica, Econometric Society, vol. 65(5), pages 1175-1200, September.
  110. Moulin, Herve, 1982. "Non-cooperative implementation: A survey of recent results," Mathematical Social Sciences, Elsevier, vol. 3(3), pages 243-257, October.
  111. Hong, Lu, 1998. "Feasible Bayesian Implementation with State Dependent Feasible Sets," Journal of Economic Theory, Elsevier, vol. 80(2), pages 201-221, June.
  112. Hong, Lu, 1995. "Nash Implementation in Production Economies," Economic Theory, Springer, vol. 5(3), pages 401-17, May.
  113. Demange, Gabrielle, 1984. "Implementing Efficient Egalitarian Equivalent Allocations," Econometrica, Econometric Society, vol. 52(5), pages 1167-77, September.
  114. Palfrey, Thomas R & Srivastava, Sanjay, 1987. "On Bayesian Implementable Allocations," Review of Economic Studies, Wiley Blackwell, vol. 54(2), pages 193-208, April.
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  116. Dasgupta, Partha S & Hammond, Peter J & Maskin, Eric S, 1979. "The Implementation of Social Choice Rules: Some General Results on Incentive Compatibility," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 185-216, April.
  117. Wettstein, David, 1990. "Continuous implementation of constrained rational expectations equilibria," Journal of Economic Theory, Elsevier, vol. 52(1), pages 208-222, October.
  118. Postlewaite, Andrew, 1979. "Manipulation via Endowments," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 255-62, April.
  119. Luis Corchon & Simon Wilkie, 1996. "Double implementation of the ratio correspondence by a market mechanism," Review of Economic Design, Springer, vol. 2(1), pages 325-337, December.
  120. Brusco, Sandro, 1995. "Perfect Bayesian Implementation," Economic Theory, Springer, vol. 5(3), pages 419-44, May.
  121. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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  123. Williams, Steven R, 1986. "Realization and Nash Implementation: Two Aspects of Mechanism Design," Econometrica, Econometric Society, vol. 54(1), pages 139-51, January.
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