|Author Name||YANO Makoto (Chief Research Officer, RIETI) / FURUKAWA Yuichi (Faculty Fellow, RIETI)|
|Creation Date/NO.||February 2019 19-E-008|
|Research Project||Evidence-based Policy Study on the Law and Economics of Market Quality|
|Download / Links|
Many issues in cycles and fluctuations cannot be explained without multiple state variables. Time needed for innovation is one such issue. This study uncovers, and provides a new characterization for, ergodic chaos with two state variables and builds a model of innovation highlighting time in innovation and intellectual property protection. We demonstrate that the explosive industrial takeoffs and Kondratieff's long waves over the past two centuries and a half may be explained as a single equilibrium phenomenon. Time in innovation tends to stabilize chaotic innovation dynamics. Intellectual property protection is a necessary condition for chaotic takeoffs from the no-innovation phase.
Published: Yano, Makoto, and Yuichi Furukawa, 2023. "Two-dimensional constrained chaos and industrial revolution cycles," Proceedings of the National Academy of Sciences of the United States of America, Volume 120, No.5 (2023), e2117497120.