符号网络中企业与企业之间的雪堆博弈

The Enterprise-to-Enterprise Snowdrift Game in Signed Networks

摘要: 研究探讨了电子商务中企业间合作的动态及其受到网络结构影响的复杂性。通过构建具有社团结构的符号网络模型，模拟了企业间的聚集效应和合作关系，并分析了这些合作行为如何随着网络参数的变化而演化。研究发现，网络的平均度(即与其他企业建立合作关系的数量)对合作密度有显著影响，更高的平均度往往导致合作密度的降低。此外，社团内部的负边密度增加可能会促进合作行为，因为企业在长期博弈中倾向于选择合作以实现更稳定的累积收益。然而，社团间的正边密度增加却可能导致合作密度的降低，因为正边博弈的收益矩阵为背叛者提供了更高的短期收益，从而增加了背叛策略的吸引力。研究进一步分析了企业在不同网络结构下的策略更新行为，指出企业会根据邻居的策略和收益来调整自己的行为。这种策略的动态调整过程增加了合作网络的复杂性，并可能影响合作的稳定性和持续性。研究结果为构建和优化多个企业合作的电子商务平台提供了理论依据，强调了理解和适应网络结构在促进企业间有效合作中的重要性。

Abstract: The study explores the dynamics of inter-enterprise cooperation in e-commerce and the complexity affected by network structure. By constructing a signed network model with community structure, the study simulates the clustering effect and cooperative relationships between enterprises, and analyzes how these cooperative behaviors evolve with changes in network parameters. The research finds that the average degree of the network (i.e., the number of cooperative relationships established with other enterprises) significantly affects the cooperation density, with a higher average degree often leading to a decrease in cooperation density. Moreover, an increase in the density of negative edges within communities may promote cooperative behavior, as enterprises tend to choose cooperation in the long-term game to achieve more stable cumulative benefits. However, an increase in the probability of positive edges between communities may lead to a reduction in cooperation density, as the payoff matrix of positive edge games provides higher short-term benefits for defectors, thereby increasing the attractiveness of the defection strategy. The study further analyzes the strategy update behavior of enterprises under different network structures, pointing out that enterprises will adjust their behavior according to the strategies and payoffs of their neighbors. This dynamic adjustment process of strategies adds to the complexity of the cooperative network and may affect the stability and sustainability of cooperation. The research results provide a theoretical basis for building and optimizing e-commerce platforms for cooperation among multiple enterprises, emphasizing the importance of understanding and adapting to network structures to promote effective cooperation between enterprises.