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Perfect Competition

Author

Listed:
  • M. Ali Khan

    (The Johns Hopkins University, Baltimore, USA)

Abstract
In his 1987 entry on ‘Perfect Competition’ in The New Palgrave, the author reviewed the question of the perfectness of perfect competition, and gave four alternative formalisations rooted in the so-called Arrow-Debreu-Mckenzie model. That entry is now updated for the second edition to include work done on the subject during the last twenty years. A fresh assessment of this literature is offered, one that emphasises the independence assumption whereby individual agents are not related except through the price system. And it highlights a ‘linguistic turn’ whereby Hayek’s two fundamental papers on ‘division of knowledge’ are seen to have devastating consequences for this research programme

Suggested Citation

  • M. Ali Khan, 2007. "Perfect Competition," PIDE-Working Papers 2007:15, Pakistan Institute of Development Economics.
    • Handle: RePEc:pid:wpaper:2007:15
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    References listed on IDEAS

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    1. Armstrong, Thomas E. & Richter, Marcel K., 1986. "Existence of nonatomic core-walras allocations," Journal of Economic Theory, Elsevier, vol. 38(1), pages 137-159, February.
    2. Chris Shannon., 1994. "Increasing Returns in Infinite Horizon Economies," Economics Working Papers 94-232, University of California at Berkeley.
    3. Cornet, B., 1984. "Existence of equilibria in economies with increasing returns," LIDAM Discussion Papers CORE 1984007, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Avallone, Anna & Basile, Achille, 1998. "Liapunov-Richter theorem in B-convex spaces," Journal of Mathematical Economics, Elsevier, vol. 30(1), pages 109-118, August.
    5. R.J. Aumann & S. Hart (ed.), 2002. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 3, number 3.
    6. Bonnisseau, J.-M. & Cornet, B., 2008. "Existence of equilibria with a tight marginal pricing rule," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 613-624, July.
    7. Forges, Francoise & Minelli, Enrico & Vohra, Rajiv, 2002. "Incentives and the core of an exchange economy: a survey," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 1-41, September.
    8. Roberto Serrano & Rajiv Vohra & Oscar Volij, 2001. "On the Failure of Core Convergence in Economies with Asymmetric Information," Econometrica, Econometric Society, vol. 69(6), pages 1685-1696, November.
    9. Brown, Donald J & Robinson, Abraham, 1975. "Nonstandard Exchange Economies," Econometrica, Econometric Society, vol. 43(1), pages 41-56, January.
    10. Aloisio Araujo & V. Martins-da-Rocha & Paulo Monteiro, 2004. "Equilibria in reflexive Banach lattices with a continuum of agents," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(3), pages 469-492, October.
    11. M. Ali Khan, 1999. "The Mordukhovich Normal Cone and the Foundations of Welfare Economics," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(3), pages 309-338, July.
    12. Roy Radner, 1991. "Intertemporal General Equilibrium," International Economic Association Series, in: Lionel W. McKenzie & Stefano Zamagni (ed.), Value and Capital: Fifty Years Later, chapter 15, pages 423-460, Palgrave Macmillan.
    13. Jackson, Matthew O. & Manelli, Alejandro M., 1997. "Approximately Competitive Equilibria in Large Finite Economies," Journal of Economic Theory, Elsevier, vol. 77(2), pages 354-376, December.
    14. Otani, Yoshihiko & Sicilian, Joseph, 1977. "Externalities and problems of nonconvexity and overhead costs in welfare economics," Journal of Economic Theory, Elsevier, vol. 14(2), pages 239-251, April.
    15. Shapley, L S, 1975. "An Example of a Slow-Converging Core," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(2), pages 345-351, June.
    16. Françoise Forges & Aviad Heifetz & Enrico Minelli, 2005. "Incentive compatible core and competitive equilibria in differential information economies," Studies in Economic Theory, in: Dionysius Glycopantis & Nicholas C. Yannelis (ed.), Differential Information Economies, pages 185-201, Springer.
    17. Khan, M. Ali & Vohra, Rajiv, 1984. "Equilibrium in abstract economies without ordered preferences and with a measure space of agents," Journal of Mathematical Economics, Elsevier, vol. 13(2), pages 133-142, October.
    18. Foley, Duncan K, 1970. "Lindahl's Solution and the Core of an Economy with Public Goods," Econometrica, Econometric Society, vol. 38(1), pages 66-72, January.
    19. Peter Hammond, 1995. "Four Characterizations Of Constrained Pareto Efficiency In Continuum Economies With Widespread Externalities," The Japanese Economic Review, Japanese Economic Association, vol. 46(2), pages 103-124, June.
    20. M. Khan & Kali Rath & Yeneng Sun, 2006. "The Dvoretzky-Wald-Wolfowitz theorem and purification in atomless finite-action games," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(1), pages 91-104, April.
    21. Khan, M. Ali & Sun, Yeneng, 2002. "Non-cooperative games with many players," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 46, pages 1761-1808, Elsevier.
    22. Gerard Debreu, 1963. "On a Theorem of Scarf," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(3), pages 177-180.
    23. Ali Khan, M. & Rashid, Salim, 1982. "Approximate equilibria in markets with indivisible commodities," Journal of Economic Theory, Elsevier, vol. 28(1), pages 82-101, October.
    24. Starr, Ross M, 1969. "Quasi-Equilibria in Markets with Non-Convex Preferences," Econometrica, Econometric Society, vol. 37(1), pages 25-38, January.
    25. Vohra, Rajiv, 1992. "Marginal Cost Pricing under Bounded Marginal Returns," Econometrica, Econometric Society, vol. 60(4), pages 859-876, July.
    26. Jean-Marc Bonnisseau & Bernard Cornet, 2006. "Existence of equilibria with a tight marginal," Cahiers de la Maison des Sciences Economiques b06022, Université Panthéon-Sorbonne (Paris 1).
    27. Robert M. Anderson & M. Ali Khan & Salim Rashid, 1982. "Approximate Equilibria with Bounds Independent of Preferences," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(3), pages 473-475.
    28. Bernard Cornet & Mihaela Topuzu, 2006. "Existence of equilibria for economies with externalities and a measure space of consumers," Studies in Economic Theory, in: Charalambos D. Aliprantis & Rosa L. Matzkin & Daniel L. McFadden & James C. Moore & Nicholas C. Yann (ed.), Rationality and Equilibrium, pages 169-193, Springer.
    29. Khan, M. Ali & Sun, Yeneng, 1999. "Non-cooperative games on hyperfinite Loeb spaces1," Journal of Mathematical Economics, Elsevier, vol. 31(4), pages 455-492, May.
    30. Yeneng Sun, 1999. "The complete removal of individual uncertainty: multiple optimal choices and random exchange economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(3), pages 507-544.
    31. M. J. Farrell, 1959. "The Convexity Assumption in the Theory of Competitive Markets," Journal of Political Economy, University of Chicago Press, vol. 67(4), pages 377-377.
    32. Khan, M. Ali, 1988. "Ioffe's normal cone and the foundations of welfare economics: An example," Economics Letters, Elsevier, vol. 28(1), pages 15-19.
    33. Anderson, Robert M., 1992. "The core in perfectly competitive economies," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 14, pages 413-457, Elsevier.
    34. Starrett, David A., 1972. "Fundamental nonconvexities in the theory of externalities," Journal of Economic Theory, Elsevier, vol. 4(2), pages 180-199, April.
    35. KHAN , M. Ali & SUN, Yeneng, 1997. "On Loeb measures spaces and their significance for non-cooperative game theory," LIDAM Discussion Papers CORE 1997012, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    36. Balder, Erik J., 2000. "Incompatibility of Usual Conditions for Equilibrium Existence in Continuum Economies without Ordered Preferences," Journal of Economic Theory, Elsevier, vol. 93(1), pages 110-117, July.
    37. Gabszewicz, Jean J. & Shitovitz, Benyamin, 1992. "The core in imperfectly competitive economies," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 15, pages 459-483, Elsevier.
    38. Mas-Colell, Andreu, 1986. "The Price Equilibrium Existence Problem in Topological Vector Lattice s," Econometrica, Econometric Society, vol. 54(5), pages 1039-1053, September.
    39. Khan, M. Ali & Rashid, Salim, 1978. "A limit theorem for an approximate core of a large but finite economy," Economics Letters, Elsevier, vol. 1(4), pages 297-302.
    40. 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.
    41. Filipe Martins-da-Rocha, V., 2003. "Equilibria in large economies with a separable Banach commodity space and non-ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 39(8), pages 863-889, November.
    42. Brown, Donald J, 1976. "Existence of a Competitive Equilibrium in a Nonstandard Exchange Economy," Econometrica, Econometric Society, vol. 44(3), pages 537-546, May.
    43. Konrad Podczeck, 2003. "On Core-Walras Equivalence in Banach Spaces when Feasibility is defined by the Pettis Integral," Vienna Economics Papers 0403, University of Vienna, Department of Economics.
    44. Aliprantis, Charalambos D. & Florenzano, Monique & Tourky, Rabee, 2006. "Production equilibria," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 406-421, August.
    45. Bernard Cornet & Mihaela Topuzu, 2005. "Existence of equilibria for economies with externalities and a measure space of consumers," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(2), pages 397-421, August.
    46. Hart, Sergiu, 2002. "Values of perfectly competitive economies," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 57, pages 2169-2184, Elsevier.
    47. Khan, M. Ali & Vohra, Rajiv, 1985. "On the existence of lindahl equilibria in economies with a measure space of non-transitive consumers," Journal of Economic Theory, Elsevier, vol. 36(2), pages 319-332, August.
    48. 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.
    49. Noguchi, Mitsunori, 2005. "Interdependent preferences with a continuum of agents," Journal of Mathematical Economics, Elsevier, vol. 41(6), pages 665-686, September.
    50. William Geller, 1986. "An Improved Bound for Approximate Equilibria," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(2), pages 307-308.
    51. Sun, Yeneng & Yannelis, Nicholas C., 2007. "Perfect competition in asymmetric information economies: compatibility of efficiency and incentives," Journal of Economic Theory, Elsevier, vol. 134(1), pages 175-194, May.
    52. Volij, Oscar & Serano, Roberto & Vohra, Rajiv, 2001. "On the Failure of Core Convergence," Staff General Research Papers Archive 5098, Iowa State University, Department of Economics.
    53. Serrano, Roberto & Volij, Oscar, 2000. "Walrasian Allocations without Price-Taking Behavior," Journal of Economic Theory, Elsevier, vol. 95(1), pages 79-106, November.
    54. V. Martins-da-Rocha, 2004. "Equilibria in large economies with differentiated commodities and non-ordered preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(3), pages 529-552, March.
    55. Becker, Robert & Boldrin, Michele & Jones, Ronald (ed.), 1993. "General Equilibrium, Growth, and Trade II," Elsevier Monographs, Elsevier, edition 1, number 9780120846559.
    56. , & , R., 2006. "Competitive markets with externalities," Theoretical Economics, Econometric Society, vol. 1(2), pages 143-166, June.
    57. Tourky, Rabee & Yannelis, Nicholas C., 2001. "Markets with Many More Agents than Commodities: Aumann's "Hidden" Assumption," Journal of Economic Theory, Elsevier, vol. 101(1), pages 189-221, November.
    58. repec:bla:jpbect:v:1:y:1999:i:3:p:309-38 is not listed on IDEAS
    59. Anderson, Robert M, 1978. "An Elementary Core Equivalence Theorem," Econometrica, Econometric Society, vol. 46(6), pages 1483-1487, November.
    60. Ali Khan, M. & Peck, N. T., 1989. "On the interiors of production sets in infinite dimensional spaces," Journal of Mathematical Economics, Elsevier, vol. 18(1), pages 29-39, February.
    61. Joseph M. Ostroy & Louis Makowski, 2001. "Perfect Competition and the Creativity of the Market," Journal of Economic Literature, American Economic Association, vol. 39(2), pages 479-535, June.
    62. Donald J. Brown & M. Ali Khan, 1977. "An Extension of the Brown-Robinson Equivalence Theorem," Cowles Foundation Discussion Papers 444, Cowles Foundation for Research in Economics, Yale University.
    63. Jean-Marc Bonnisseau, 2000. "The Marginal Pricing Rule in Economies with Infinitely Many Commodities," Econometric Society World Congress 2000 Contributed Papers 0262, Econometric Society.
    64. Lionel W. McKenzie, 2005. "Classical General Equilibrium Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262633302, April.
    65. Tjalling C. Koopmans, 1961. "Convexity Assumptions, Allocative Efficiency, and Competitive Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 69(5), pages 478-478.
    66. W. Hildenbrand & H. Sonnenschein (ed.), 1991. "Handbook of Mathematical Economics," Handbook of Mathematical Economics, Elsevier, edition 1, volume 4, number 4.
    67. Koopmans, Tjalling C, 1974. "Is the Theory of Competitive Equilibrium With It?," American Economic Review, American Economic Association, vol. 64(2), pages 325-329, May.
    68. M Ali Khan & Yeneng Sun, 1996. "Non-Atomic Games on Loeb Spaces," Economics Working Paper Archive 374, The Johns Hopkins University,Department of Economics, revised Aug 1996.
    69. Mas-Colell, Andreu & Zame, William R., 1991. "Equilibrium theory in infinite dimensional spaces," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 34, pages 1835-1898, Elsevier.
    70. Sun, Yeneng & Yannelis, Nicholas C., 2007. "Core, equilibria and incentives in large asymmetric information economies," Games and Economic Behavior, Elsevier, vol. 61(1), pages 131-155, October.
    71. Herves-Beloso, Carlos & Moreno-Garcia, Emma & Yannelis, Nicholas C., 2005. "An equivalence theorem for a differential information economy," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 844-856, November.
    72. repec:dau:papers:123456789/5451 is not listed on IDEAS
    73. repec:dau:papers:123456789/6273 is not listed on IDEAS
    74. Khan, M Ali, 1974. "Some Remarks on the Core of a "Large" Economy," Econometrica, Econometric Society, vol. 42(4), pages 633-642, July.
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    More about this item

    Keywords

    Allocation of Resources; Perfect Competition; Exchange Economy;
    All these keywords.

    JEL classification:

    • D00 - Microeconomics - - General - - - General

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