Cycles and sunspots: The Poincaré-Hopf approach

Journal of Mathematical Economics

Volumn 26, Issue 3, 1996, Pages 269-284

  Chiappori, P A ^a   Davila J ^b  

^a DELTA   (France)

^b UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

Author keywords

Cycles; Index theorem; Sunspot equilibrium

Indexed keywords

EID: 0030527169     PISSN: 03044068     EISSN: None     Source Type: Journal    
DOI: 10.1016/0304-4068(95)00751-2     Document Type: Article

References (18)

1. Azariadis, C. and R. Guesnerie, 1986, Sunspots and cycles, Review of Economic Studies 53, 725-736.
2. Cass, D. and K. Shell, 1983, Do sunspots matter?, Journal of Political Economy 91, 193-227.
3. Chiappori, P.-A. and R. Geusnerie, 1989, On stationary sunspot equilibria of order k, in: W. Barnett, S. Geweke and K. Shell, eds., Economic complexity, chaos, sunspots, bubbles and nonlinearity (Cambridge University Press, Cambridge).
4. Chiappori, P.-A. and R. Guesnerie, 1991, Sunspot equilibria in sequential markets models, in: W. Hildebrand and H. Sonnenschein, eds., Handbook of mathematical economics, vol. IV (Elsevier Science Publishers, Amsterdam).
5. Chiappori, P.-A., P.-Y. Geoffard and R. Guesnerie, 1992, Sunspot fluctuations around a steady state: The case of multidimensional one-step forward looking models, Econometrica 60, no. 5, 1097-1126.
6. Dávila, J., 1994, Indétermination de l'équilibre à anticipations rationnelles, équilibres à "taches solaires" et systémes dynamiques. Ph.D. dissertation, Ecole des Hautes Etudes en Sciences Sociales, Paris.
7. Farmer, R.A. and M. Woodford, 1984, Self-fulfilling prophecies and the business cycle, CARESS WP 84-12, University of Pennsylvania. Published in Spanish in Cuadernos Económicos (1989).
8. Feigenbaum, M., 1978, Quantitative universality for a class of non-linear transformations, Journal of Statistical Physics 19, 25-52; 21, 669-706.
9. Feigenbaum, M., 1978, Quantitative universality for a class of non-linear transformations, Journal of Statistical Physics 19, 25-52; 21, 669-706.
10. Grandmont, J.-M., 1985, On endogenous competitive business cycles, Econometrica 53, 995-1045.
11. Grandmont, J.-M., 1986, Stabilizing competitive business cycles, Journal of Economic Theory 40, 57-76.
12. Grandmont, J.-M., 1989, Local bifurcations and stationary sunspots, in: W. Barnett, S. Geweke and K. Shell, eds., Economic Complexity, chaos, sunspots, bubbles and nonlinearity (Cambridge University Press, Cambridge).
13. Guckenheimer, J. and P. Holmes, 1983, Nonlinear oscillations, dynamical systems and bifurcations of vector fields (Springer-Verlag, New York-Berlin-Heidelberg).
14. Guesnerie, R., 1986, Stationary sunspot equilibria in an n-commodity world, Journal of Economic Theory 40, 103-128.
15. Peck, J., 1988, On the existence of sunspot equilibria in an overlapping generations model, Journal of Economic Theory 44, 19-42.
16. Spear, S. 1984, Sufficient conditions for the existence of sunspot equilibria, Journal of Economic Theory 34, 360-370.
17. Woodford, M., 1986, Stationary sunspot equilibria: The case of small fluctuations around a deterministic steady state, mimeo, University of Chicago.
18. Woodford, M., 1991, Learning to believe in sunspots. Econometrica