Equilibrium Resolution Mechanism For Multidimensional Conflicts In Farmland Expropriation Based On A Multistage Van Damme'S Model

MATHEMATICS(2021)

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Abstract
Multidimensional conflicts in farmland expropriation originate from the game of multidimensional interests between the local government and farmers. The strategy choices and equilibrium results of the two sides have evolved with changes to the situation and policy adjustments. Focusing on different types of farmland expropriation conflicts, this paper constructs a multistage Van Damme's model of multidimensional conflicts in farmland expropriation, analyzes the stable equilibrium point of the behavior evolution of the local government and farmers under litigation settlement and nonlitigation settlement, and conducts simulation analysis on the behavior evolution and conflict resolution of both sides at different stages through MATLAB numerical simulation. The results show that (1) the interests' game between the local government and farmers has changed periodically due to the evolution of the farmland expropriation system; (2) under litigation settlement, there is only the "government rent-seeking" conflict: in order to resolve the conflict, the cost of litigation for farmers can be reduced, while other policy interventions, such as controlling the rent-seeking ceiling of the local government and increasing the rent-seeking costs of the local government, can be implemented; (3) under nonlitigation settlement, there are three types of conflicts: to resolve the "government rent-seeking" conflict, we should control the rent-seeking ceiling of the local government and increase the rent-seeking costs of the local government or its positive social externality benefits under reasonable expropriation; to resolve the "nail household dilemma" conflict, we should increase the rent-seeking costs of farmers or their positive social externality benefits under reasonable compensation; to resolve the "extreme controversy" conflict, on the one hand, we should control the rent-seeking ceiling of farmers, and on the other hand, while controlling the rent-seeking ceiling of the local government, we should increase the farmers' positive social externality benefits under reasonable compensation or negative social externality losses of both sides under rent seeking.
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Key words
farmland expropriation, multidimensional conflicts, evolutionary game, multistage van Damme's model, MATLAB numerical simulation
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