Abstract
The core of an economy is the set of all economic outcomes that cannot be ‘blocked’ by any group of individuals; it is an institution-free concept. A Walrasian equilibrium is an economic outcome based on the institution of market-clearing via prices: each individual consumes his or her demand, taking prices as given, and the demand for each good equals the supply of that good. Core convergence asserts that, for sufficiently large economies, every core allocation approximately satisfies the definition of Walrasian equilibrium; it is an important test of the price-taking assumption inherent in the definition of Walrasian equilibrium.
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Bibliography
Anderson, R.M. 1978. An elementary core equivalence theorem. Econometrica 46: 1483–1487.
Anderson, R.M. 1981. Core theory with strongly convex preferences. Econometrica 49: 1457–1468.
Anderson, R.M. 1985. Strong core theorems with nonconvex preferences. Econometrica 53: 1283–1294.
Anderson, R.M. 1986. Core allocations and small income transfers. Working Paper No. 8621, Department of Economics, University of California at Berkeley.
Anderson, R.M. 1987. Gap-minimizing prices and quadratic core convergence. Journal of Mathematical Economics 16: 1–15. Correction, Journal of Mathematical Economics 20(1991): 599–601.
Anderson, R.M. 1992. The core in perfectly competitive economies. In Handbook of game theory with economic applications, vol. I, ed. R.J. Aumann and S. Hart. Amsterdam: North-Holland.
Aumann, R.J. 1964. Markets with a continuum of traders. Econometrica 32: 39–50.
Bewley, T.F. 1973. Edgeworth’s conjecture. Econometrica 41: 425–454.
Brown, D.J., and A. Robinson. 1974. The cores of large standard exchange economies. Journal of Economic Theory 9: 245–254.
Brown, D.J., and A. Robinson. 1975. Nonstandard exchange economies. Econometrica 43: 41–55.
Debreu, G. 1975. The rate of convergence of the core of an economy. Journal of Mathematical Economics 2: 1–7.
Debreu, G., and H. Scarf. 1963. A limit theorem on the core of an economy. International Economic Review 4: 236–246.
Dierker, E. 1975. Gains and losses at core allocations. Journal of Mathematical Economics 2: 119–128.
Edgeworth, F.Y. 1881. Mathematical psychics. London: Kegan Paul.
Grodal, B. 1975. The rate of convergence of the core for a purely competitive sequence of economies. Journal of Mathematical Economics 2: 171–186.
Grodal, B. and W. Hildenbrand. 1974. Limit theorems for approximate cores. Working Paper IP-208, Center for Research in Management, University of California, Berkeley.
Hildenbrand, W. 1974. Core and Equilibria of a large economy. Princeton: Princeton University Press.
Kannai, Y. 1970. Continuity properties of the core of a market. Econometrica 38: 791–815.
Khan, M.A. 1974. Some equivalence theorems. Review of Economic Studies 41: 549–565.
Vind, K. 1964. Edgeworth allocations in an exchange economy with many traders. International Economic Review 5: 165–177.
Vind, K. 1965. A theorem on the core of an economy. Review of Economic Studies 32: 47–48.
Walras, L. 1874. Eléments d’économie politique pure. Lausanne: L. Corbaz.
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Anderson, R.M. (2018). Core Convergence. In: The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1057/978-1-349-95189-5_2706
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DOI: https://doi.org/10.1057/978-1-349-95189-5_2706
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