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Multilaterally Strategy-Proof Mechanisms in Random Aumann--Hildenbrand Macroeconomies

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  • Peter J. Hammond

Abstract

May 1997 (Revised May 1998) By definition, multilaterally strategy-proof mechanisms are immune to manipulation not only by individuals misrepresenting their preferences, but also by finite coalitions exchanging tradeable goods on the side. Continuum economies are defined in which both agents' identifiers and their privately known characteristics are joint i.i.d. random variables. For such economies, conditions are given for multilateral strategy-proofness to imply decentralization by a budget constraint with linear prices for tradeable goods and lump-sum transfers independent of individual characteristics. Also, adapting Aumann's (Econometrica, 1964) key proof avoids using Lyapunov's theorem or its corollary, Richter's theorem on integrating a correspondence w.r.t. a non-atomic measure. Journal of Economic Literature classifications: D50, D82. Keywords: Continuum economies, strategy-proofness, core equivalence.

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Paper provided by Stanford University, Department of Economics in its series Working Papers with number 97022.

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Handle: RePEc:wop:stanec:97022

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Keywords: Continuum economies; strategy-proofness; core equivalence;

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  1. Peter J. Hammond, . "On f-Core Equivalence with General Widespread Externalities," Working Papers 95004, Stanford University, Department of Economics.
  2. Robert E Lucas, 1999. "Making a Miracle," Levine's Working Paper Archive 2101, David K. Levine.
  3. Hammond, Peter J & Rodriguez-Clare, Andres, 1993. " On Endogenizing Long-Run Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 95(4), pages 391-425, December.
  4. Blackorby, Charles & Donaldson, David, 1988. "Cash versus Kind, Self-selection, and Efficient Transfers," American Economic Review, American Economic Association, vol. 78(4), pages 691-700, September.
  5. Hammond, Peter J, 1987. "Markets as Constraints: Multilateral Incentive Compatibility in Continuum Economies," Review of Economic Studies, Wiley Blackwell, vol. 54(3), pages 399-412, July.
  6. Partha Dasgupta & Douglas Gale & Oliver Hart & Eric Maskin (ed.), 1992. "Economic Analysis of Markets and Games: Essays in Honor of Frank Hahn," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262541599, December.
  7. Joseph G. Haubrich & Robert G. King, 1984. "Banking and Insurance," NBER Working Papers 1312, National Bureau of Economic Research, Inc.
  8. Grodal, Birgit, 1972. "A Second Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 581-83, May.
  9. Elhanan Helpman, 1991. "Endogenous Macroeconomic Growth Theory," NBER Working Papers 3869, National Bureau of Economic Research, Inc.
  10. P.J. Hammond, 2007. "History: Sunk Cost, or Widespread Externality?," Rivista Internazionale di Scienze Sociali, Vita e Pensiero, Pubblicazioni dell'Universita' Cattolica del Sacro Cuore, vol. 115(2), pages 161-185.
  11. Stern, Nicholas, 1991. "The Determinants of Growth," Economic Journal, Royal Economic Society, vol. 101(404), pages 122-33, January.
  12. Hammond, Peter J, 1979. "Straightforward Individual Incentive Compatibility in Large Economies," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 263-82, April.
  13. Al-Najjar, Nabil Ibraheem, 1995. "Decomposition and Characterization of Risk with a Continuum of Random Variables," Econometrica, Econometric Society, vol. 63(5), pages 1195-1224, September.
  14. Mirrlees, James A, 1971. "An Exploration in the Theory of Optimum Income Taxation," Review of Economic Studies, Wiley Blackwell, vol. 38(114), pages 175-208, April.
  15. Joseph Haubrich, . "Optimal Financial Structure in Exchange Economies," Rodney L. White Center for Financial Research Working Papers 18-84, Wharton School Rodney L. White Center for Financial Research.
  16. Weiss, Ernst-August Jr., 1981. "Finitely additive exchange economies," Journal of Mathematical Economics, Elsevier, vol. 8(3), pages 221-240, October.
  17. Mas-Colell, Andreu, 1989. "An equivalence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 129-139, April.
  18. 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.
  19. Bhattacharya, Rabindra Nath & Majumdar, Mukul, 1973. "Random exchange economies," Journal of Economic Theory, Elsevier, vol. 6(1), pages 37-67, February.
  20. Donald J. Brown & Abraham Robinson, 1971. "Nonstandard Exchange Economies," Cowles Foundation Discussion Papers 308, Cowles Foundation for Research in Economics, Yale University.
  21. L. Wade, 1988. "Review," Public Choice, Springer, vol. 58(1), pages 99-100, July.
  22. Schmeidler, David, 1972. "A Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 579-80, May.
  23. Brown, Donald J. & Robinson, Abraham, 1974. "The cores of large standard exchange economies," Journal of Economic Theory, Elsevier, vol. 9(3), pages 245-254, November.
  24. Kaneko, Mamoru & Wooders, Myrna Holtz, 1986. "The core of a game with a continuum of players and finite coalitions: The model and some results," Mathematical Social Sciences, Elsevier, vol. 12(2), pages 105-137, October.
  25. Kaneko, Mamoru & Wooders, Myrna Holtz, 1989. "The core of a continuum economy with widespread externalities and finite coalitions: From finite to continuum economies," Journal of Economic Theory, Elsevier, vol. 49(1), pages 135-168, October.
  26. Hammond, Peter J. & Kaneko, Mamoru & Wooders, Myrna Holtz, 1989. "Continuum economies with finite coalitions: Core, equilibria, and widespread externalities," Journal of Economic Theory, Elsevier, vol. 49(1), pages 113-134, October.
  27. Vind, Karl, 1972. "A Third Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 585-86, May.
  28. Yamazaki, Akira, 1978. "An Equilibrium Existence Theorem without Convexity Assumptions," Econometrica, Econometric Society, vol. 46(3), pages 541-55, May.
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  30. Anderson, Robert M., 1991. "Non-standard analysis with applications to economics," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 39, pages 2145-2208 Elsevier.
  31. Gale, Douglas, 1980. "Money, information and equilibrium in large economies," Journal of Economic Theory, Elsevier, vol. 23(1), pages 28-65, August.
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