Endogenous business cycles caused by nonconvex costs and interactions

Yoshiyuki Arata ()
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Yoshiyuki Arata: Research Institute of Economy, Trade and Industry

Journal of Economic Interaction and Coordination, 2017, vol. 12, issue 2, No 8, 367-391

Abstract: Abstract This paper shows that endogenous business cycles (inventory cycles) arise from a combination of nonconvex costs and economic interactions among firms. At the micro level, firm behavior is characterized by lumpiness, and the standard production-smoothing theory is empirically rejected. To account for this, a nonconvex cost function is assumed in our model. It might be expected that even if the microeconomic behavior is lumpy, the effect disappears at the aggregate level because of the law of large numbers. However, we show that if there exist interactions among firms, a regular endogenous cycle emerges at the aggregate level given that the degree of the interaction effect exceeds a critical point. That is, the randomly behaving microeconomic agents generate deterministic collective behavior via interactions. This offers an explanation for the Kitchin cycle.

Keywords: Kitchin cycle; Nonconvex cost function; Propagation of chaos; Bifurcation (search for similar items in EconPapers)
JEL-codes: D21 E23 E32 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s11403-015-0169-1

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