The Walras core of an economy and its limit theorem

Journal of Mathematical Economics

Volumn 42, Issue 2, 2006, Pages 180-197

  Qin, Cheng Zhong ^a   Shapley, Lloyd S ^b   Shimomura, Ken Ichi ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c KOBE UNIVERSITY   (Japan)

Author keywords

Coalition; Competitive allocation; Edgeworth core; Walras core

Indexed keywords

EID: 33645547721     PISSN: 03044068     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmateco.2005.09.001     Document Type: Article

References (28)

1. K.J. Arrow G. Debreu Existence of an equilibrium for a competitive economy Econometrica 22 1954 265-290
2. R.J. Aumann Markets with a continuum of traders Econometrica 32 1964 39-50
3. R.J. Aumann On the rate of convergence of the core International Economic Review 20 1979 349-357
4. C. Berge Topological Spaces 1963 Macmillan New York
5. L.J. Billera On games without side payments arising from a general class of markets Journal of Mathematical Economics 1 1974 129-139
6. H.C. Cheng What is the normal rate of convergence of the core? Econometrica 49 1981 73-83
7. H.C. Cheng Generic examples on the rate of convergence of the core International Economic Review 23 1982 309-321
8. G. Debreu Theory of Value 1959 John Wiley & Sons, Inc
9. G. Debreu H. Scarf A limit theorem on the core of an economy International Economic Review 4 1963 235-246
10. G. Debreu The rate of convergence of the core of an economy Journal of Mathematical Economy 2 1975 1-8
11. F.Y. Edgeworth Mathematical Psychics: An Essay on the Application of Mathematics to the Moral Sciences 1881 C. Kegan Paul
12. M. Florenzano Edgeworth equilibria, fuzzy core, and equilibria of a production economy without ordered preferences Journal of Mathematical Analysis and Applications 153 1990 18-36
13. B. Grodal The rate of convergence on the core for a purely competitive sequence of economies Journal of Mathematical Economics 2 1975 171-186
14. W. Hildenbrand The core of an economy with a measure space of economic agents The Review of Economic Studies 35 1968 443-452
15. W. Hildenbrand Core and Equilibria of a Large Economy 1974 Princeton University Press Princeton
16. L. Hurwicz Optimality and informational efficiency in resource allocation processes K.J. Arrow S. Karlin P. Suppes Mathematical Methods in the Social Sciences 1960 Stanford University Press 27-46
17. L.W. McKenzie On the existence of general equilibrium for a competitive market Econometrica 27 1959 54-71
18. H. Nikaido Convex Structures and Economic Theory 1968 Academic Press
19. C.-Z. Qin A conjecture of Shapley and Shubik on competitive outcomes in the cores of NTU market games International Journal of Game Theory 22 1993 335-344
20. T. Rader Edgeworth exchange and general economic equilibrium Yale Economic Essays 4 1964 133-180
21. H. Scarf Some examples of global instability of the competitive equilibrium International Economic Review 1 1960 157-172
22. L.S. Shapley On balanced games without side payments T.C. Hu S.M. Robinson Mathematical Programming 1973 Academic Press 261-290
23. L.S. Shapley An example of a slow-converging core International Journal of Economic Review 16 1975 345-351
24. L.S. Shapley Noncooperative general exchange A.Y. Lin Theory and Measurement of Economic Externalities 1976 Academic Press 155-175
25. L.S. Shapley M. Shubik On market games Journal of Economic Theory 1 1969 9-25
26. L.S. Shapley M. Shubik Trading using one commodity as a means of payment Journal of Political Economy 85 1977 937-968
27. M. Shubik Edgeworth market games R.D. Luce A.W. Tucker Contributions to the Theory of Games, vol. IV 1959 Princeton University Press 267-278
28. K. Vind Edgeworth-allocations in an exchange economy with many traders International Economic Review 5 1964 165-177