{"title":"欧洲足球比赛中的竞争平衡测度与结果假设的不确定性","authors":"V Manasis;I Ntzoufras;J J Reade","doi":"10.1093/imaman/dpab027","DOIUrl":null,"url":null,"abstract":"Competitive balance is an important issue in professional sport in general and European football in particular. However, competitive balance is difficult to quantify because competitiveness is multi-dimensional and particular sports are distinctive. We aim to identify the most appropriate index for a holistic view of competitive balance in European football. We use data from eight domestic European football leagues over a time span of 60 years. The indices we consider are specifically designed to capture competitiveness at different levels of performance and in this way reflect the peculiarities of European football leagues. Our findings support the longstanding uncertainty of outcome hypothesis. A bivariate index that captures competitiveness in the top K places is shown to have the highest association with attendance. A seasonal index of champions’ domination is also found to have a large association with attendance. Finally, ranking mobility is found to have a slightly higher association with attendance than seasonal performance. These results imply that sports policy makers should use these indices to assess strategic decisions that may influence competitive balance.","PeriodicalId":56296,"journal":{"name":"IMA Journal of Management Mathematics","volume":"33 1","pages":"19-52"},"PeriodicalIF":1.9000,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Competitive balance measures and the uncertainty of outcome hypothesis in European football\",\"authors\":\"V Manasis;I Ntzoufras;J J Reade\",\"doi\":\"10.1093/imaman/dpab027\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Competitive balance is an important issue in professional sport in general and European football in particular. However, competitive balance is difficult to quantify because competitiveness is multi-dimensional and particular sports are distinctive. We aim to identify the most appropriate index for a holistic view of competitive balance in European football. We use data from eight domestic European football leagues over a time span of 60 years. The indices we consider are specifically designed to capture competitiveness at different levels of performance and in this way reflect the peculiarities of European football leagues. Our findings support the longstanding uncertainty of outcome hypothesis. A bivariate index that captures competitiveness in the top K places is shown to have the highest association with attendance. A seasonal index of champions’ domination is also found to have a large association with attendance. Finally, ranking mobility is found to have a slightly higher association with attendance than seasonal performance. These results imply that sports policy makers should use these indices to assess strategic decisions that may influence competitive balance.\",\"PeriodicalId\":56296,\"journal\":{\"name\":\"IMA Journal of Management Mathematics\",\"volume\":\"33 1\",\"pages\":\"19-52\"},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2021-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IMA Journal of Management Mathematics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/9623701/\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MANAGEMENT\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IMA Journal of Management Mathematics","FirstCategoryId":"5","ListUrlMain":"https://ieeexplore.ieee.org/document/9623701/","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MANAGEMENT","Score":null,"Total":0}
Competitive balance measures and the uncertainty of outcome hypothesis in European football
Competitive balance is an important issue in professional sport in general and European football in particular. However, competitive balance is difficult to quantify because competitiveness is multi-dimensional and particular sports are distinctive. We aim to identify the most appropriate index for a holistic view of competitive balance in European football. We use data from eight domestic European football leagues over a time span of 60 years. The indices we consider are specifically designed to capture competitiveness at different levels of performance and in this way reflect the peculiarities of European football leagues. Our findings support the longstanding uncertainty of outcome hypothesis. A bivariate index that captures competitiveness in the top K places is shown to have the highest association with attendance. A seasonal index of champions’ domination is also found to have a large association with attendance. Finally, ranking mobility is found to have a slightly higher association with attendance than seasonal performance. These results imply that sports policy makers should use these indices to assess strategic decisions that may influence competitive balance.
期刊介绍:
The mission of this quarterly journal is to publish mathematical research of the highest quality, impact and relevance that can be directly utilised or have demonstrable potential to be employed by managers in profit, not-for-profit, third party and governmental/public organisations to improve their practices. Thus the research must be quantitative and of the highest quality if it is to be published in the journal. Furthermore, the outcome of the research must be ultimately useful for managers. The journal also publishes novel meta-analyses of the literature, reviews of the "state-of-the art" in a manner that provides new insight, and genuine applications of mathematics to real-world problems in the form of case studies. The journal welcomes papers dealing with topics in Operational Research and Management Science, Operations Management, Decision Sciences, Transportation Science, Marketing Science, Analytics, and Financial and Risk Modelling.