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Mass-Economies with Vital Small Coalitions; the F-Core Approach

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Author Info
Peter J. Hammond (Stanford University)
P. Kane (University of Tsukuba)
Myrna Holtz Wooders (University of Toronto)

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Abstract

A mass-economy is one with many, many agents where each agent is negligible and each trading group is also negligible with respect to the mass-economy. Feasible allocations are those which are virtually attainable by trades only among members of coalitions contained in feasible ("measure-consistent") partitions of the agent set. A feasible allocation is in the core, called the f-core, if it cannot be improved upon by any finite coalition. We show that in a private goods economy with indivisibilities and without externalities, the f-core, the A-core (Aumann's core concept) and the Walrasian allocations coincide. In the presence of widespread externalities, the f-core and the Walrasian allocations coincide but the definition of the A-core is problematic. The conceptual significance of these results will be discussed.

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File URL: http://cowles.econ.yale.edu/P/cd/d07b/d0752.pdf
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Publisher Info
Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 752.

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Length: 32 pages
Date of creation: May 1985
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Handle: RePEc:cwl:cwldpp:752

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Related research
Keywords: Continuum economies; finite coalitions; core equivalence; equilibrium existence;

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This page was last updated on 2010-1-5.


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