Topological Properties of the Catastrophe Map of a General Equilibrium Production Model with Uncertain States of Nature

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References

[1] Debreu, G. (1959) Theory of Value. Wiley, New York.

[2] Arrow, K. and Debreu, G. (1954) Existence of an Equilibrium for a Competitive Economy. Econometrics, 22, 265-290.

http://dx.doi.org/10.2307/1907353

[3] Balasko, Y. (1988) The Equilibrium Manifold: Postmodern Developments in the Theory of General Economic Equilibrium. The MIT Press, Cambridge, Massachusetts.

[4] Jouini, E. (1993) The Graph of the Walras Correspondence. The Production Economies Cas. Journal of Mathematical Economics, 22, 139-147.

http://dx.doi.org/10.1016/0304-4068(93)90043-K

[5] Fuchs, G. (1974) Private Ownership Economies with a Finite Number of Equilibria. Journal of Mathematical Economics, 1, 141-158.

http://dx.doi.org/10.1016/0304-4068(74)90005-6

[6] Stiefenhofer, P. (2011) Equilibrium Structure of Production Economies with Uncertainty: The Natural Projection Approach. Discussion Papers in Economics, University of York, York, 7.

[7] Stiefenhofer, P. (2013) The Catastrophe Map of a Two Period Production Model with Uncertainty. Applied Mathematics, 4, No. 8A.

[8] Debreu, G. (1972) Smooth Preferences. Econometrica, 40, 603-615.

http://dx.doi.org/10.2307/1912956

[9] Lee, J.M. (2004) Introduction to Topological Manifolds. Springer, New York.

[10] Hirsch, M. (1972) Differential Topology. Springer Verlag, New York.

[11] Lee, J.M. (2000) Introduction to Smooth Manifolds. Springer, New York.

[12] Guillemin, V. and Pollack, A. (1974) Differential Topology. Prentice Hall, Upper Saddle River.