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- W2767289357 abstract "Recent work of Gardini et al. (2008), building on earlier work of Mitra (2001) and Mukherji (2005), considers the so-called M-map that generates a dynamical system underlying Matsuyama’s (1999) endogenous growth model. We offer proofs of the fact that there do not exist 3- or 5-period cycles in the M-map, and an example (a numerical proof) of the existence of a 7-period cycle. We use the latter, and a construction in Khan and Piazza (2011), to identify a range of parameter values of the M-map that guarantee the existence of cycles of all periods, except 3 and 5. Our argumentation relies on, and reports, the first four iterations of the M-map that may have independent interest." @default.
- W2767289357 created "2017-11-17" @default.
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- W2767289357 date "2018-01-01" @default.
- W2767289357 modified "2023-10-02" @default.
- W2767289357 title "On growing through cycles: Matsuyama’s M-map and Li–Yorke chaos" @default.
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- W2767289357 doi "https://doi.org/10.1016/j.jmateco.2017.10.007" @default.
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