This paper constructs a non-cooperative/cooperative stochasticdifferential game model to prove that the optimal strategies trajectory ofagents in a system with a topological configuration of a Multi-Local-Worldgraph w...This paper constructs a non-cooperative/cooperative stochasticdifferential game model to prove that the optimal strategies trajectory ofagents in a system with a topological configuration of a Multi-Local-Worldgraph would converge into a certain attractor if the system’s configuration isfixed. Due to the economics and management property, almost all systems aredivided into several independent Local-Worlds, and the interaction betweenagents in the system is more complex. The interaction between agents inthe same Local-World is defined as a stochastic differential cooperativegame;conversely, the interaction between agents in different Local-Worldsis defined as a stochastic differential non-cooperative game. We construct anon-cooperative/cooperative stochastic differential game model to describethe interaction between agents. The solutions of the cooperative and noncooperativegames are obtained by invoking corresponding theories, and thena nonlinear operator is constructed to couple these two solutions together.At last, the optimal strategies trajectory of agents in the system is proven toconverge into a certain attractor, which means that strategies trajectory arecertainty as time tends to infinity or a large positive integer. It is concluded thatthe optimal strategy trajectory with a nonlinear operator of cooperative/noncooperativestochastic differential game between agents can make agentsin a certain Local-World coordinate and make the Local-World paymentmaximize, and can make the all Local-Worlds equilibrated;furthermore, theoptimal strategy of the coupled game can converge into a particular attractorthat decides the optimal property.展开更多
Lately,in some regions and seasons in China,urban consumers have paid high in buying fresh agricultural products while farmers get unreasonable income from producing them.To seek the reason for the phenomenon and expl...Lately,in some regions and seasons in China,urban consumers have paid high in buying fresh agricultural products while farmers get unreasonable income from producing them.To seek the reason for the phenomenon and explore ways to simulate it,this study constructed and implemented a complex network model named the Bi-Level Multi-Local-World(BI-MLW model)with characteristics of an interdependent coupling relationship between its participants.To verify the validity of the model,this study implemented an experimental simulation under Small Decentralized Operation Mode(SDOM)and Large Centralized Operation Mode(LCOM)scenarios using Cucurbita pepo and Cucumber in the Tianjin area of China as sample empirical products.Results indicate that nodes do not increase edges rapidly which reflects that even large firms in agricultural business cannot occupy markets fleetly.Furthermore,under the SDOM scenario the BI-MLW model exposes scale-free features with a small average degree value and low average clustering coefficient,while under the LCOM scenario,the model displays a rising average clustering coefficient and a lowered average path length.Both of which are consistent with the common view in literature and features of reality.Thus,the BI-MLW model specially designed for fresh agricultural products supply chain can improve the descriptive ability than conventional Erdös-Rényi(ER),Barabási-Albert(BA),Bianconi-Barabási(BB)network models.展开更多
A multi-local-world model is introduced to describe the evolving networks that have a localization property such as the Internet. Based on this model, we show that the traffic load defined by 'betweenness centrali...A multi-local-world model is introduced to describe the evolving networks that have a localization property such as the Internet. Based on this model, we show that the traffic load defined by 'betweenness centrality' on the multi-local-world scale-free networks' model also follows a power law form. In this kind of network, a few vertices have heavier loads and so play more important roles than the others in the network.展开更多
基金supported by the National Natural Science Foundation of China, (Grant Nos.72174064,71671054,and 61976064)the Natural Science Foundation of Shandong Province,“Dynamic Coordination Mechanism of the Fresh Agricultural Produce Supply Chain Driven by Customer Behavior from the Perspective of Quality Loss” (ZR2020MG004)Industrial Internet Security Evaluation Service Project (TC210W09P).
文摘This paper constructs a non-cooperative/cooperative stochasticdifferential game model to prove that the optimal strategies trajectory ofagents in a system with a topological configuration of a Multi-Local-Worldgraph would converge into a certain attractor if the system’s configuration isfixed. Due to the economics and management property, almost all systems aredivided into several independent Local-Worlds, and the interaction betweenagents in the system is more complex. The interaction between agents inthe same Local-World is defined as a stochastic differential cooperativegame;conversely, the interaction between agents in different Local-Worldsis defined as a stochastic differential non-cooperative game. We construct anon-cooperative/cooperative stochastic differential game model to describethe interaction between agents. The solutions of the cooperative and noncooperativegames are obtained by invoking corresponding theories, and thena nonlinear operator is constructed to couple these two solutions together.At last, the optimal strategies trajectory of agents in the system is proven toconverge into a certain attractor, which means that strategies trajectory arecertainty as time tends to infinity or a large positive integer. It is concluded thatthe optimal strategy trajectory with a nonlinear operator of cooperative/noncooperativestochastic differential game between agents can make agentsin a certain Local-World coordinate and make the Local-World paymentmaximize, and can make the all Local-Worlds equilibrated;furthermore, theoptimal strategy of the coupled game can converge into a particular attractorthat decides the optimal property.
基金the support of Technology Innovation Project Fund of the Chinese Academy of Agricultural Sciences(CAAS-ASTIP-2020-AII-01)the Agricultural Monitoring and Early Warning Research Team of Agricultural Information Institute of Chinese Academy of Agricultural Sciences.
文摘Lately,in some regions and seasons in China,urban consumers have paid high in buying fresh agricultural products while farmers get unreasonable income from producing them.To seek the reason for the phenomenon and explore ways to simulate it,this study constructed and implemented a complex network model named the Bi-Level Multi-Local-World(BI-MLW model)with characteristics of an interdependent coupling relationship between its participants.To verify the validity of the model,this study implemented an experimental simulation under Small Decentralized Operation Mode(SDOM)and Large Centralized Operation Mode(LCOM)scenarios using Cucurbita pepo and Cucumber in the Tianjin area of China as sample empirical products.Results indicate that nodes do not increase edges rapidly which reflects that even large firms in agricultural business cannot occupy markets fleetly.Furthermore,under the SDOM scenario the BI-MLW model exposes scale-free features with a small average degree value and low average clustering coefficient,while under the LCOM scenario,the model displays a rising average clustering coefficient and a lowered average path length.Both of which are consistent with the common view in literature and features of reality.Thus,the BI-MLW model specially designed for fresh agricultural products supply chain can improve the descriptive ability than conventional Erdös-Rényi(ER),Barabási-Albert(BA),Bianconi-Barabási(BB)network models.
基金This work was supported by the Hong Kong Research Grants Council under the CERG Grants CityU 1031/01E and 1115/03E.
文摘A multi-local-world model is introduced to describe the evolving networks that have a localization property such as the Internet. Based on this model, we show that the traffic load defined by 'betweenness centrality' on the multi-local-world scale-free networks' model also follows a power law form. In this kind of network, a few vertices have heavier loads and so play more important roles than the others in the network.
