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A Crash Course in Implementation Theory

  • Jackson, Matthew O.

These lectures are 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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File URL: http://www.hss.caltech.edu/SSPapers/sswp1076c.pdf
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Paper provided by California Institute of Technology, Division of the Humanities and Social Sciences in its series Working Papers with number 1076.

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Length: 61 pages
Date of creation: Jul 1999
Date of revision:
Publication status: Published: Published in Social Choice and Welfare, V. 18, #4, 2001, pp. 655-708.
Handle: RePEc:clt:sswopa:1076
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  1. Jackson, Matthew O. & Palfrey, Thomas R., 2001. "Voluntary Implementation," Journal of Economic Theory, Elsevier, vol. 98(1), pages 1-25, May.
  2. Abreu, Dilip & Matsushima, Hitoshi, 1992. "A Response [Virtual Implementation in Iteratively Undominated Strategies I: Complete Information]," Econometrica, Econometric Society, vol. 60(6), pages 1439-42, November.
  3. Kenneth Mount & Stanley Reiter, 1973. "The Informational Size of Message Spaces," Discussion Papers 3, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  4. Naoki Yoshihara, 2000. "A characterization of natural and double implementation in production economies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(4), pages 571-599.
  5. Sandeep Baliga & Tomas Sjostrom, 1998. "Decentralization and Collusion," Discussion Papers 1210, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  6. Sjostrom, T., 1997. "Undominated Nash Implementation with Collusion and Renegociation," ISER Discussion Paper 0448, Institute of Social and Economic Research, Osaka University.
  7. Palfrey, Thomas R. & Srivastava, Sanjay, 1986. "Private information in large economies," Journal of Economic Theory, Elsevier, vol. 39(1), pages 34-58, June.
  8. 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.
  9. Thomson, W., 1996. "Monotonic Extension on Economic Domains," RCER Working Papers 431, University of Rochester - Center for Economic Research (RCER).
  10. Matthew Jackson & Herve Moulin, 1990. "Implementing A Public Project and Distributing Its Costs," Discussion Papers 882, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  11. 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.
  12. Bernheim, B. Douglas & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria II. Applications," Journal of Economic Theory, Elsevier, vol. 42(1), pages 13-29, June.
  13. Serrano, Roberto, 1993. "Non-cooperative Implementation of the Nucleolus: The 3-Player Case," International Journal of Game Theory, Springer;Game Theory Society, vol. 22(4), pages 345-57.
  14. Matthew O. Jackson & Thomas R. Palfrey, 1998. "Efficiency and Voluntary Implementation in Markets with Repeated Pairwise Bargaining," Econometrica, Econometric Society, vol. 66(6), pages 1353-1388, November.
  15. Kara, Tarik & Sonmez, Tayfun, 1996. "Nash Implementation of Matching Rules," Journal of Economic Theory, Elsevier, vol. 68(2), pages 425-439, February.
  16. 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.
  17. Moulin, Herve, 1982. "Non-cooperative implementation: A survey of recent results," Mathematical Social Sciences, Elsevier, vol. 3(3), pages 243-257, October.
  18. Peleg, B., 1995. "Double Implementation of the Lindahl Equilibrium by a Continuous Mechanism," Papers 9524, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
  19. Trockel, Walter, 1996. "An Exact Implementation of the Nash Bargaining Solution in Dominant Strategies," Economics Series 25, Institute for Advanced Studies.
  20. Glazer, Jacob & Perry, Motty, 1996. "Virtual Implementation in Backwards Induction," Games and Economic Behavior, Elsevier, vol. 15(1), pages 27-32, July.
  21. Luis Corchón & Carmen Herrero Blanco, 1995. "A Decent Proposal," Working Papers. Serie AD 1995-25, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  22. Roberto Serrano, 1996. "A comment on the Nash program and the theory of implementation," Economics Working Papers 161, Department of Economics and Business, Universitat Pompeu Fabra.
  23. Arya, Anil & Glover, Jonathan & Hughes, John S., 1997. "Implementing Coordinated Team Play," Journal of Economic Theory, Elsevier, vol. 74(1), pages 218-232, May.
  24. Abreu Dilip & Matsushima Hitoshi, 1994. "Exact Implementation," Journal of Economic Theory, Elsevier, vol. 64(1), pages 1-19, October.
  25. 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.
  26. Bergin, James & Duggan, John, 1999. "An Implementation-Theoretic Approach to Non-cooperative Foundations," Journal of Economic Theory, Elsevier, vol. 86(1), pages 50-76, May.
  27. Kalai, Ehud & Ledyard, John O., 1998. "Repeated Implementation," Journal of Economic Theory, Elsevier, vol. 83(2), pages 308-317, December.
  28. Chakravorty, Bhaskar & Corchon, Luis C. & Wilkie, Simon, 2006. "Credible implementation," Games and Economic Behavior, Elsevier, vol. 57(1), pages 18-36, October.
  29. Sonmez, Tayfun, 1996. "Implementation in generalized matching problems," Journal of Mathematical Economics, Elsevier, vol. 26(4), pages 429-439.
  30. Hiroaki Osana, 1997. "Nash-implementation of the weak Pareto choice rule for indecomposable environments," Review of Economic Design, Springer;Society for Economic Design, vol. 3(1), pages 57-74.
  31. Ismail Saglam, 2008. "A Note on Jackson's Theorems in Bayesian Implementation," Economics Bulletin, AccessEcon, vol. 3(55), pages 1-8.
  32. Nir Dagan & Roberto Serrano & Oscar Volij, 1995. "Feasible Implementation of Taxation Methods," Working Papers 95-14, Brown University, Department of Economics.
  33. Ching-To Ma, 1988. "Unique Implementation of Incentive Contracts with Many Agents," Review of Economic Studies, Oxford University Press, vol. 55(4), pages 555-572.
  34. Sjostrom Tomas, 1994. "Implementation in Undominated Nash Equilibria without Integer Games," Games and Economic Behavior, Elsevier, vol. 6(3), pages 502-511, May.
  35. 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.
  36. 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.
  37. 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.
  38. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
  39. Baliga, Sandeep, 1999. "Implementation in Economic Environments with Incomplete Information: The Use of Multi-Stage Games," Games and Economic Behavior, Elsevier, vol. 27(2), pages 173-183, May.
  40. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
  41. Palfrey, Thomas R & Srivastava, Sanjay, 1989. "Implementation with Incomplete Information in Exchange Economies," Econometrica, Econometric Society, vol. 57(1), pages 115-34, January.
  42. Suh, Sang-Chul, 1996. "Implementation with coalition formation: A complete characterization," Journal of Mathematical Economics, Elsevier, vol. 26(4), pages 409-428.
  43. Luis Corchon & Ignacio Ortuño-Ortin, 1994. "Robust implementation under alternative information structures," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 159-171, December.
  44. Luis Corchón & Sandeep Baliga & Tomas Sjöström, 1995. "The Theory Of Implementation When The Planner Is A Player," Working Papers. Serie AD 1995-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  45. Vives, X. & Mas-Colell, A., 1989. "Implementation in economies with a Continuum of Agents," UFAE and IAE Working Papers 129.90, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  46. Antonio Cabrales, . "Adaptive Dynamics and the Implementation Problem with Complete Information," ELSE working papers 009, ESRC Centre on Economics Learning and Social Evolution.
  47. Nakamura, Shinsuke, 1990. "A feasible Nash implementation of Walrasian equilibria in the two-agent economy," Economics Letters, Elsevier, vol. 34(1), pages 5-9, September.
  48. Carmelo Rodríguez-Álvarez, 2006. "Candidate stability and probabilistic voting procedures," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(3), pages 657-677, 04.
  49. Chattopadhyay, Subir & Luis C. Corchon & Jörg Naeve, 1998. "Contingent Commodities and Implementation," Discussion Paper Serie A 572, University of Bonn, Germany.
  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.
  51. Brusco, Sandro, 1999. "Implementation with Extensive Form Games: One Round of Signaling Is Not Enough," Journal of Economic Theory, Elsevier, vol. 87(2), pages 356-378, August.
  52. John Duggan, 1998. "An extensive form solution to the adverse selection problem in principal/multi-agent environments," Review of Economic Design, Springer;Society for Economic Design, vol. 3(2), pages 167-191.
  53. 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.
  54. 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.
  55. Andrew Postlewaite, 1979. "Manipulation via Endowments," Review of Economic Studies, Oxford University Press, vol. 46(2), pages 255-262.
  56. Williams, Steven R, 1986. "Realization and Nash Implementation: Two Aspects of Mechanism Design," Econometrica, Econometric Society, vol. 54(1), pages 139-51, January.
  57. Yoshihara, N., 1998. "Natural and Double Implementation of Public Ownership Solutions in Differentiable Production Economies," ISER Discussion Paper 0404r, Institute of Social and Economic Research, Osaka University.
  58. Matsushima Hitoshi, 1993. "Bayesian Monotonicity with Side Payments," Journal of Economic Theory, Elsevier, vol. 59(1), pages 107-121, February.
  59. 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.
  60. Sertel, Murat R., 1994. "Manipulating Lindahl equilibrium via endowments," Economics Letters, Elsevier, vol. 46(2), pages 167-171, October.
  61. Wettstein, David, 1990. "Continuous implementation of constrained rational expectations equilibria," Journal of Economic Theory, Elsevier, vol. 52(1), pages 208-222, October.
  62. Li, Qi & Nakamura, Shinsuke & Tian, Guoqiang, 1995. "Nash-Implementation of the Lindahl Correspondence with Decreasing Returns to Scale Technologies," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(1), pages 37-52, February.
  63. Glazer, Jacob & Rosenthal, Robert W, 1992. "A Note on Abreu-Matsushima Mechanisms," Econometrica, Econometric Society, vol. 60(6), pages 1435-38, November.
  64. Stefan Reichelstein & Stanley Reiter, 1985. "Game Forms with Minimal Strategy Spaces," Discussion Papers 663, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  65. Mark Bagnoli & Barton L. Lipman, 1989. "Provision of Public Goods: Fully Implementing the Core through Private Contributions," Review of Economic Studies, Oxford University Press, vol. 56(4), pages 583-601.
  66. Shinsuke Nakamura, 1998. "Impossibility of Nash implementation in two-person economies," Review of Economic Design, Springer;Society for Economic Design, vol. 3(2), pages 159-165.
  67. Moulin, Herve, 1980. "Implementing efficient, anonymous and neutral social choice functions," Journal of Mathematical Economics, Elsevier, vol. 7(3), pages 249-269, December.
  68. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
  69. Hong, Lu, 1998. "Feasible Bayesian Implementation with State Dependent Feasible Sets," Journal of Economic Theory, Elsevier, vol. 80(2), pages 201-221, June.
  70. Saijo, Tatsuyoshi, 1988. "Strategy Space Reduction in Maskin's Theorem: Sufficient Conditions for Nash Implementation," Econometrica, Econometric Society, vol. 56(3), pages 693-700, May.
  71. Tian, Guoqiang, 1991. "Implementation of Lindahl allocations with nontotal--nontransitive preferences," Journal of Public Economics, Elsevier, vol. 46(2), pages 247-259, November.
  72. Muller, Eitan & Satterthwaite, Mark A., 1977. "The equivalence of strong positive association and strategy-proofness," Journal of Economic Theory, Elsevier, vol. 14(2), pages 412-418, April.
  73. Leonid Hurwicz, 1994. "Economic design, adjustment processes, mechanisms, and institutions," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 1-14, December.
  74. Roberto Serrano & Rajiv Vohra, 1997. "Non-cooperative implementation of the core," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(4), pages 513-525.
  75. Serrano, Roberto & Vohra, Rajiv, 2001. "Some Limitations of Virtual Bayesian Implementation," Econometrica, Econometric Society, vol. 69(3), pages 785-92, May.
  76. Eraslan, H.Hulya & McLennan, Andrew, 2004. "Strategic candidacy for multivalued voting procedures," Journal of Economic Theory, Elsevier, vol. 117(1), pages 29-54, July.
  77. Thomas R. Palfrey & Sanjay Srivastava, 1987. "On Bayesian Implementable Allocations," Review of Economic Studies, Oxford University Press, vol. 54(2), pages 193-208.
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  79. Blume, Lawrence & Easley, David, 1990. "Implementation of Walrasian expectations equilibria," Journal of Economic Theory, Elsevier, vol. 51(1), pages 207-227, June.
  80. Schmeidler, David, 1980. "Walrasian Analysis via Strategic Outcome Functions," Econometrica, Econometric Society, vol. 48(7), pages 1585-93, November.
  81. 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.
  82. Yamato, Takehiko, 1992. "On nash implementation of social choice correspondences," Games and Economic Behavior, Elsevier, vol. 4(3), pages 484-492, July.
  83. Lu Hong & Scott Page, 1994. "Reducing informational costs in endowment mechanisms," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 103-117, December.
  84. Partha Dasgupta & Peter Hammond & Eric Maskin, 1979. "The Implementation of Social Choice Rules: Some General Results on Incentive Compatibility," Review of Economic Studies, Oxford University Press, vol. 46(2), pages 185-216.
  85. Postlewaite, Andrew & Schmeidler, David, 1986. "Implementation in differential information economies," Journal of Economic Theory, Elsevier, vol. 39(1), pages 14-33, June.
  86. Luis Corchon & Simon Wilkie, 1996. "Double implementation of the ratio correspondence by a market mechanism," Review of Economic Design, Springer;Society for Economic Design, vol. 2(1), pages 325-337, December.
  87. Eliaz, K., 1999. "Fault Tolerant Implementation," Papers 21-99, Tel Aviv.
  88. Saijo, T. & Tatamitani, Y. & Yamato, T., 1994. "Toward Natural Implementation," ISER Discussion Paper 0340, Institute of Social and Economic Research, Osaka University.
    • 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.
  89. Tomas Sjöstrω, 1996. "Credibility And Renegotiation Of Outcome Functions In Implementation," The Japanese Economic Review, Japanese Economic Association, vol. 47(2), pages 157-169, 06.
  90. Sandeep Baliga & Tomas Sjostrom, 1996. "Interactive Implementation," Harvard Institute of Economic Research Working Papers 1751, Harvard - Institute of Economic Research.
  91. DUTTA, Bhaskar & JACKSON, Matthew O. & LE BRETON, Michel, 1999. "Strategic candidacy and voting procedures," CORE Discussion Papers 1999011, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  92. Moore, John & Repullo, Rafael, 1990. "Nash Implementation: A Full Characterization," Econometrica, Econometric Society, vol. 58(5), pages 1083-99, September.
  93. Tian, Guoqiang, 1993. "Implementing Lindahl allocations by a withholding mechanism," Journal of Mathematical Economics, Elsevier, vol. 22(2), pages 169-179.
  94. Tian, Guoqiang & Li, Qi, 1991. "Completely feasible and continuous implementation of the Lindahl correspondence with any number of goods," Mathematical Social Sciences, Elsevier, vol. 21(1), pages 67-79, February.
  95. Saijo, Tatsuyoshi, 1987. "On constant maskin monotonic social choice functions," Journal of Economic Theory, Elsevier, vol. 42(2), pages 382-386, August.
  96. Pablo AmorÕs & Bernardo Moreno, 2001. "original papers : Implementation of optimal contracts under adverse selection," Review of Economic Design, Springer;Society for Economic Design, vol. 6(1), pages 41-61.
  97. Guoqiang Tian, 1989. "Implementation of the Lindahl Correspondence by a Single-Valued, Feasible, and Continuous Mechanism," Review of Economic Studies, Oxford University Press, vol. 56(4), pages 613-621.
  98. Wettstein, David, 1992. "Continuous implementation in economics with incomplete information," Games and Economic Behavior, Elsevier, vol. 4(3), pages 463-483, July.
  99. Danilov, Vladimir, 1992. "Implementation via Nash Equilibria," Econometrica, Econometric Society, vol. 60(1), pages 43-56, January.
  100. Matsushima, Hitoshi, 1988. "A new approach to the implementation problem," Journal of Economic Theory, Elsevier, vol. 45(1), pages 128-144, June.
  101. Barbera, Salvador & Dutta, Bhaskar, 1982. "Implementability via protective equilibria," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 49-65, June.
  102. Hong, Lu, 1995. "Nash Implementation in Production Economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(3), pages 401-17, May.
  103. Brusco, Sandro, 1995. "Perfect Bayesian Implementation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(3), pages 419-44, May.
  104. Tian Guoqiang, 1994. "Implementation of Linear Cost Share Equilibrium Allocations," Journal of Economic Theory, Elsevier, vol. 64(2), pages 568-584, December.
  105. Jackson, Matthew O, 1991. "Bayesian Implementation," Econometrica, Econometric Society, vol. 59(2), pages 461-77, March.
  106. 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.
  107. Demski, Joel S. & Sappington, David, 1984. "Optimal incentive contracts with multiple agents," Journal of Economic Theory, Elsevier, vol. 33(1), pages 152-171, June.
  108. Piketty Thomas, 1993. "Implementation of First-Best Allocations via Generalized Tax Schedules," Journal of Economic Theory, Elsevier, vol. 61(1), pages 23-41, October.
  109. Moore, John & Repullo, Rafael, 1988. "Subgame Perfect Implementation," Econometrica, Econometric Society, vol. 56(5), pages 1191-1220, September.
  110. Moulin, Herve, 1981. "Implementing just and efficient decision-making," Journal of Public Economics, Elsevier, vol. 16(2), pages 193-213, October.
  111. Semih Koray, 2000. "Self-Selective Social Choice Functions Verify Arrow and Gibbarad- Satterthwaite Theorems," Econometrica, Econometric Society, vol. 68(4), pages 981-996, July.
  112. Vartiainen, Hannu, 2007. "Subgame perfect implementation: A full characterization," Journal of Economic Theory, Elsevier, vol. 133(1), pages 111-126, March.
  113. Yamato, Takehiko, 1999. "Nash implementation and double implementation: equivalence theorems1," Journal of Mathematical Economics, Elsevier, vol. 31(2), pages 215-238, March.
  114. Yamato Takehiko, 1993. "Double Implementation in Nash and Undominated Nash Equilibria," Journal of Economic Theory, Elsevier, vol. 59(2), pages 311-323, April.
  115. Palfrey, Thomas R & Srivastava, Sanjay, 1991. "Nash Implementation Using Undominated Strategies," Econometrica, Econometric Society, vol. 59(2), pages 479-501, March.
  116. Lu Hong, 1996. "Bayesian implementation in exchange economies with state dependent feasible sets and private information," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(4), pages 433-444.
  117. Tian, Guoqiang, 1990. "Completely feasible and continuous implementation of the Lindahl correspondence with a message space of minimal dimension," Journal of Economic Theory, Elsevier, vol. 51(2), pages 443-452, August.
  118. Hurwicz, Leonid, 1973. "The Design of Mechanisms for Resource Allocation," American Economic Review, American Economic Association, vol. 63(2), pages 1-30, May.
  119. Demange, Gabrielle, 1984. "Implementing Efficient Egalitarian Equivalent Allocations," Econometrica, Econometric Society, vol. 52(5), pages 1167-77, September.
  120. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 23-38.
  121. Dilip Mookherjee & Stefan Reichelstein, 1990. "Implementation via Augmented Revelation Mechanisms," Review of Economic Studies, Oxford University Press, vol. 57(3), pages 453-475.
  122. Tian, Guoqiang, 1996. "Continuous and Feasible Implementation of Rational-Expectations Lindahl Allocations," Games and Economic Behavior, Elsevier, vol. 16(1), pages 135-151, September.
  123. JoseHerrero, Maria & Srivastava, Sanjay, 1992. "Implementation via backward induction," Journal of Economic Theory, Elsevier, vol. 56(1), pages 70-88, February.
  124. Boylan, Richard T., 1998. "Coalition-Proof Implementation," Journal of Economic Theory, Elsevier, vol. 82(1), pages 132-143, September.
  125. Tayfun Sönmez & Tarik Kara, 1997. "Implementation of college admission rules (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(2), pages 197-218.
  126. John Duggan, 1997. "Virtual Bayesian Implementation," Econometrica, Econometric Society, vol. 65(5), pages 1175-1200, September.
  127. Serrano Roberto, 1995. "A Market to Implement the Core," Journal of Economic Theory, Elsevier, vol. 67(1), pages 285-294, October.
  128. Tadenuma, Koichi & Toda, Manabu, 1998. "Implementable stable solutions to pure matching problems," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 121-132, March.
  129. L. Hurwicz, 1979. "Outcome Functions Yielding Walrasian and Lindahl Allocations at Nash Equilibrium Points," Review of Economic Studies, Oxford University Press, vol. 46(2), pages 217-225.
  130. 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.
  131. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
  132. 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.
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