| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
Spatial economics is an interdisciplinary area between economics and geography. Its purpose is to study the allocation of resources over space and the location of economic activity. Among many important nonlinear models in the NEG, one of the most fundamental models is the Krugman's Core-Periphery model. Each equilibrium of the continuous model is defined as a solution to the wage equation, which is a singular nonlinear integral equation. The wage equation is quite a new kind of integral equation that has not been fully studied mathematically. We must note that the wage equation has a singular double nonlinear structure in the sense that the equation contains a nonlinear integral operator whose integral kernel itself is expressed by another nonlinear integral operator with a singularity. It is difficult to prove the existence of solutions to the wage equation. In this study we prove the existence of solutions to the wage equation under the most general assumption.
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