On f-Core Equivalence with General Widespread Externalities
Second version: November, 1995. This paper partially extends the f-core equivalence theorem of Hammond, Kaneko and Wooders  for continuum economies with widespread externalities --- i.e., those over which each individual has negligible control. Externalities need not result directly from trading activities. Neither free disposal of divisible goods nor monotone preferences are assumed. Instead, a slightly strengthened form of local non-satiation suffices. However, in general it is proved only that any f-core allocation is a weak Nash--Walrasian equilibrium. Finally, the proof uses an elementary argument which does not rely on Lyapunov's theorem or convexity of the integral of a correspondence w.r.t. a non-atomic measure.
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- P.J. Hammond, 2007.
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- Hammond, Peter J., 2007. "History : Sunk Cost, or Widespread Externality?," The Warwick Economics Research Paper Series (TWERPS) 808, University of Warwick, Department of Economics.
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- 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.
- M Ali Khan & Kali P Rath & Yeneng Sun, 1994.
"On the Existence of Pure Strategy Equilibria in Games with a Continuum of Players,"
Economics Working Paper Archive
381, The Johns Hopkins University,Department of Economics, revised Feb 1997.
- Khan, M. Ali & Rath, Kali P. & Sun, Yeneng, 1997. "On the Existence of Pure Strategy Equilibria in Games with a Continuum of Players," Journal of Economic Theory, Elsevier, vol. 76(1), pages 13-46, September.
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