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基于双边匹配博弈模型的马拉松赛事报名主体间关系研究

Research on the Relationship Between the Subjects of Marathon Entry Based on the Bilateral Matching Game Model
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摘要 以学科跨界和学科交叉的方式,对马拉松赛事举办与参赛问题进行研究,为马拉松赛事举办方和参赛者的双边行为路径选择和制度设计提供科学依据。在马拉松赛事报名环节中,举办方和参赛者二者如何建立关系,直接影响着马拉松赛事市场收益的发展变化。借鉴并运用匹配博弈理论,结合马拉松赛事报名"一票难求"的现状,构建马拉松赛事举办与参赛主体间的双边匹配博弈模型,探析举办方与参赛者双方相互选择的内在关系,以及实证阐释双边匹配模型的求解过程。采用双边匹配模型构建和延迟接受算法求解两个步骤达成稳定匹配的、匹配博弈理论寻求最优结果的方法。进而得出研究结论:马拉松赛事举办与参赛的博弈模型中,所构成的均衡是唯一、稳定的。对于稳定均衡下的举办方与参赛者的选择都是满足各自偏好的,且是最优的。同时,在该模型中,所形成的匹配对数量等于马拉松赛事举办方设置的参赛容量。 In the way of cross-disciplinary and cross-disciplinary,this paper studies the organization and participation of marathon events,and provides a scientific basis for the bilateral behavior path selection and system design of the organizers and participants of marathon events. In the registration process of marathon events,how to establish the relationship between organizers and participants directly affects the development and change of Marathon market revenue. Based on the matching game theory and the present situation of " one ticket is difficult to obtain",this paper constructs a bilateral matching game model between the organizers and participants of marathon events,explores the internal relationship between the organizers and participants’ mutual selection,and illustrates the solving process of the bilateral matching model by empirical analysis. Two steps,bilateral matching model construction and delayed acceptance algorithm,are used to achieve stable matching,and matching game theory is used to seek the optimal results. Then it draws the conclusion that in the game model of holding and participating marathon,the equilibrium is unique and stable. The selection of organizers and contestants under stable equilibrium is both satisfying their preferences and optimal. At the same time,in this model,the number of matching pairs formed is equal to the capacity set by the organizers of marathon events.
作者 毕红星 BI Hong-xing(Center for Sports Economics Research,Dongbei University Finance & Economics,Dalian 116025,China)
出处 《吉林体育学院学报》 2019年第3期26-31,共6页 Journal of Jilin Sport University
基金 国家社科规划基金一般项目(16BTY050) 辽宁省社科规划基金一般项目(L17BTY009) 辽宁省教育厅人文社科青年项目(LN2017QN042)
关键词 双边匹配博弈模型 马拉松赛事 报名主体 bilateral matching game model marathon race the main body of entry
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