A characterization of erratic dynamics in, the overlapping generations model

Journal of Economic Dynamics and Control - Tập 4 - Trang 37-55 - 1982
Jess Benhabib1,2, Richard H. Day1,2
1New York University, New York, NY 10012, USA
2The University of Southern California, Los Angeles, CA 90007, USA

Tài liệu tham khảo

Balasko, 1980, The overlapping-generations model, I: The case of pure exchange without money, Journal of Economic Theory, 23, 281, 10.1016/0022-0531(80)90013-7 Birkhoff, 1936, Proof of the ergodic theorem, 17, 656 Brock, 1980, The optimum mean and variance of the monetary growth rate in an overlapping generations model, 211 Butler, 1978, Periodic points and chaotic functions in the unit interval, Bulletin of the Australian Mathematical Society, 18, 255, 10.1017/S0004972700008066 Cass, 1980, In defense of a basic approach, 251 Cass, 1966, A re-examination of the pure consumption loans model, Journal of Political Economy, 74, 353, 10.1086/259178 Cass, 1967, Individual savings, aggregate capital accumulation, and efficient growth, 233 Cass, 1979, The role of money in supporting the Pareto optimality of competitive equilibrium in consumption-loan models, Journal of Economic Theory, 20, 41, 10.1016/0022-0531(79)90062-0 Day, 1969, Flexible utility and myopic expectations in economic growth, Oxford Economic Papers, 21, 299, 10.1093/oxfordjournals.oep.a041130 Day, 1976, Myopic optimizing, economic growth and the Golden Rule, Hong Kong Economic Papers, 10, 12 Diamond, 1965, National debt in a neoclassical growth model, American Economic Review, 55, 1126 Diamond, 1976, Chaotic behavior of systems of difference equations, International Journal of Systems Science, 7, 953, 10.1080/00207727608941979 Gale, 1973, Pure exchange equilibrium of dynamic economic model, Journal of Economic Theory, 6, 12, 10.1016/0022-0531(73)90041-0 Guckenheimer, 1977, Dynamics of density dependent population models, Journal of Mathematical Biology, 6, 101, 10.1007/BF00275980 Hassel, 1976, Patterns of dynamical behavior in single-species populations, Journal of Animal Ecology, 45, 471, 10.2307/3886 Halmos, 1956 Hoppensteadt, 1977, Periodic solutions of a logistic difference equation, SIAM Journal of Applied Mathematics, 32, 73, 10.1137/0132005 Kloeden, 1976, Chaotic difference equations are dense, Bulletin of the Australian Mathematical Society, 15, 371, 10.1017/S0004972700022802 Lasota, 1977, On the existence of invariant measure of transformations with strictly turbulent trajectories, Bulletin de Academie Polonaise des Sciences Serie des Sciences Mathematiques Astronomiques et Physique, 25, 233 Leontief, 1958, Theoretical note on time-preference, productivity of capital, stagnation and economic growth, American Economic Review, 48, 105 Li, 1975, Period three implies chaos, American Mathematical Monthly, 82, 985, 10.2307/2318254 Lorentz, 1963, Deterministic nonperiodic flow, Journal of Atmospheric Science, 20, 130, 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2 Marotto, 1978, Snapback repellers imply chaos in Rn, Journal of Mathematical Analysis and Applications, 63, 199, 10.1016/0022-247X(78)90115-4 May, 1976, Simple mathematical models with very complicated dynamics, Nature, 261, 459, 10.1038/261459a0 May, 1976, Bifurcations and dynamic complexity in simple ecological models, The American Naturalist, 110, 573, 10.1086/283092 Meckling, 1960, An exact consumption-loan model of interest: A comment, Journal of Political Economy, 68, 72, 10.1086/258266 Okuno, 1980, On the efficiency of a competitive equilibrium in infinite horizon monetary models, Review of Economic Studies, 47, 797, 10.2307/2296945 Pianigiani, 1979, On the existence of invariant measures, 299 Pianigiani, 1979, Absolutely invariant measures for the process xn+1+ = Axn(1−xn), Bolletino Unione della Matematica Italiana, 16-A, 374 Ruelle, 1977, Applications conservant une mesure absolument continue par rapport a dx sur [0,1], Communications and Mathematical Physics, 55, 47, 10.1007/BF01613148 Ruelle, 1971, On the nature of turbulence, Communications and Mathematical Physics, 167, 10.1007/BF01646553 Samuelson, 1958, An exact consumption-loan model of interest with or without the social contrivance of money, Journal of Political Economy, 66, 467, 10.1086/258100 Shell, 1971, Notes on the economics of infinity, Journal of Political Economy, 79, 1002, 10.1086/259811 Smale, 1976, The qualitative analysis of a difference equation of growth, Journal of Mathematical Biology, 3, 1, 10.1007/BF00307853 Starret, 1972, On golden rules, the ‘biological theory of interest’ and competitive inefficiency, Journal of Political Economy, 80, 276, 10.1086/259882 Stein, 1974, Nonlinear transformations on the electronic computers, 401 Thompson, 1967, Debt instruments in macroeconomic and capital theory, American Economic Review, 57, 1196