Optimal chaos,nonlinearity and feasibility conditions |
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Authors: | Kazuo Nishimura Makoto Yano |
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Affiliation: | (1) Institute of Economic Research, Kyoto University, Yoshida-Honmachi, Sakyo-ku, 606 Kyoto, Japan;(2) Yokohama National University, 156 Tokiwadai, Hodogaya-Ku, 240 Yokohama, Japan |
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Abstract: | ![]() Summary This study constructs a class of dynamic models in which optimal paths are generated by nonlinear transition functions similar to a tent map. We provide a sufficient condition under which such a transition function is a chaotic map. This characterization provides a way to construct complex nonlinear dynamics in a broad range of dynamic economic models.We would like to thank Michele Boldrin, William Brock, Richard Day, Mukul Majumdar, Lionel McKenzie, Tapan Mitra, Luigi Montrucchio, Jose Scheinkman, Rangarajan Sundaram and the referees for comments and discussions. |
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