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This book focuses on the Frobenius theorem regarding a nonlinear simultaneous system. The Frobenius theorem is well known as a condition for a linear simultaneous system’s having a nonnegative solution. Generally, however, the condition of a simultaneous system, including a non-linear system’s having a nonnegative solution, is hardly discussed at all. This book, therefore, extends the conventional Frobenius theorem for nonlinear simultaneous systems for economic analysis.

 Almost all static optimization problems in economics involve nonlinear programing. Theoretical...

This book is a work that focuses on the forest environmental tax. Forest resources have played a major role in preventing global warming by absorbing carbon dioxide and supplying oxygen. However, global economic growth has adversely affected the global environment and has exacerbated global warming due to excessive consumption of forest resources. The functions or “services” of forests are diverse, but the interest of the citizenry in forest cultivation is scarce since forests are public goods. Concurrently, Japanese forestry, which has played an important role in forest conservation, is...

This monograph presents potential remedies for some of the current environmental issues in developed countries in a theoretical or empirical manner with the interdisciplinary approaches of economics, statistics, and engineering.