How does price insurance alleviate the fluctuation of agricultural product market? A dynamic analysis based on cobweb model

Abstract

Food security is of great importance to all countries. Correspondingly, agricultural price insurance is an im-portant tool to maintain food security. This study adopts the traditional spider web model to establish a mathematical framework for exploring the internal mechanism of agricultural price insurance, which can ease the volatility of the agricultural market. Then, the influence of agricultural price insurance on the supply of agricultural products is exam-ined. The findings show that the supply elasticity of most agricultural products is greater than the demand elasticity, with agricultural product markets presenting a natural divergence. Agricultural price insurance changes the supply curve of agricultural products by reducing their supply elasticity, subsequently positively affecting the reduction of price fluctuation and the stabilisation of outputs. Agricultural price insurance can even change agricultural product markets under certain conditions, allowing a shift from divergence to convergence. Moreover, by adjusting the insurance param-eters of agricultural prices, the equilibrium yield and price can be changed, and the planting area and income of farmers can be maximised. The mathematical basis for agricultural insurance derived in this study can support food security strategies at the national level and further provide a theoretical basis to formulate policies and departmental measures.