The importance of players in teams of the German Bundesliga in the season 2012/2013 – a cooperative game theory approach

Hiller, Tobias

doi:10.1080/13504851.2014.941527

Cited by 14 publications

(6 citation statements)

References 13 publications

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“…The discussion about the relationship between compensation systems and individual performance is central to the sports industry (Montanari et al , 2008). Also, a relevant topic for researchers is the relationship between the player’s performance and the salary received (Lucifora and Simmons, 2003; Hiller, 2015; Gavião et al , 2020).…”

Section: Introductionmentioning

confidence: 99%

Worldwide trends in the scientific production on soccer players market value, a bibliometric analysis using bibliometrix R-tool

Rodríguez

Alvarez

Arango-Vasquez

2022

TPM

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Purpose This study aims to identify the current state, the emergent research clusters, the key research topics and the configuration of collaboration in scientific production related to the market value of soccer players. Design/methodology/approach This article analyzes 52 articles published between 1985 and 2021 and from the Scopus and WoS databases. Findings The subject is of growing interest both in academic and practical areas. A variable that frequently appears as a determinant of market value is crowd wisdom. The largest cluster related to the co-citation level shows that the main issues about soccer player market value are player performance, team performance, and the determinants of the superstar formation. Spain and Germany stand out as essential countries both in literary production and citation rate. The network of collaborations is still low. Research limitations/implications This study is supported by databases being constantly updated, resulting in continuous variation in the number of indexed journals. Consequently, a bibliometric analysis regarding an emergent topic can, in fewer years, be subject to essential variations. Another limitation is that it has analyzed a particular topic using the most influential databases, and the global perspective could be improved with the incorporation of other different databases. Data regarding collaborations could be helpful for investigations or policies that propose to approach the topic supported by specialized groups. This study offers the possibility for future researchers to extend the databases used, the level of analysis, or focus on specific topics or variables affecting the soccer player market value. Originality/value This study contributes to knowing the current state of the soccer player market value research. Studies on such topics are relatively limited concerning the literature review.

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Section: Introductionmentioning

confidence: 99%

Worldwide trends in the scientific production on soccer players market value, a bibliometric analysis using bibliometrix R-tool

Rodríguez

Alvarez

Arango-Vasquez

2022

TPM

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“…After new searches in scientific literature of fuzzy games (Casagrande and Ranganathan 2015;Rahaman and Ahmad 2015), linguistic and semantic approaches in game theory (Tao et al 2015), cooperative game theory (Leng et al 2014) and application of game theory in the power negotiation and others (Cobanli 2014;Hiller 2015), the authors concluded that nowadays this is a very important subject of research.…”

Section: Introductionmentioning

confidence: 97%

Negotiation Based on Fuzzy Logic and Knowledge Engineering: Some Case Studies

2015

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One of the most recent mathematical models for negotiation is the Compensatory Negotiation Solution by Knowledge Engineering (CNSKE). In this model a logic system called Compensatory Fuzzy Logic was used, which is more adequate to solve problems of decision making than the classical one probabilistic fuzzy logic system. The idempotency axiom of this system and the continuity of the operators allow the truth-values of the membership function to have a cardinal and not exclusively ordinal semantic meaning. On the other hand, continuity also makes 'sensible' the truth-values of the predicates. The aim of this paper is to illustrate the advantages of the CNSKE over other approaches in Game Theory. To show these advantages, some case studies are analyzed, consisting on the solution of three problems in which CNSKE is applied in economic and politic cases of negotiation, and compared with other alternative approaches.

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“…While the problem of how to rank players or teams in tournament situations is of primary importance for sport competitions, and it has received a lot of attention in the game theoretic literature – for instance, focusing on the strategic behavior of competitors who want to manipulate the outcome of a tournament (Csató 2019c , 2020a , b , 2021 ; Dagaev and Sonin 2018 ; Pauly 2014 ; Vong 2017 ), or providing some impossibility results for rankings in generalized tournaments (Csató 2019a , b ) – there have been only few attempts to compare each player’s contributions to the success of their own team (Vilain and Kolkovsky 2016 ). Recently, some approaches using coalitional games and power indices have been applied to assess the performance of sportsmen based on outcomes of their team (Hernández-Lamoneda and Sánchez-Sánchez 2010 ; Hiller 2015 ). Classical power indices, like the Shapley value/index (Shapley 1953 ), are computed from such coalitional games to convert the performance of coalitions into an individual attribution representing each player’s role in the team during the championship.…”

Section: Introductionmentioning

confidence: 99%

Lexicographic solutions for coalitional rankings

Algaba

Moretti

Rémila³

et al. 2021

Soc Choice Welf

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In many real world situations, the design of social rankings over agents or items from a given raking over groups or coalitions, to which these agents or items belong to, is of big interest. With this aim, we revise the lexicographic excellence solution and introduce two novel solutions which, moreover, take into account the size of the groups. We present some desirable axioms which are interpreted in this context. Next, a comparable axiomatization of these three solutions is established, revealing the main differences among the two new social rankings and the lexicographic excellence solution. Finally, we apply the three social rankings under study to a real scenario. Specifically, the performance of some football players of Paris Saint-Germain during the UEFA Champions League according to these three rules is analyzed.

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The importance of players in teams of the German Bundesliga in the season 2012/2013 – a cooperative game theory approach

Cited by 14 publications

References 13 publications

Worldwide trends in the scientific production on soccer players market value, a bibliometric analysis using bibliometrix R-tool

Worldwide trends in the scientific production on soccer players market value, a bibliometric analysis using bibliometrix R-tool

Negotiation Based on Fuzzy Logic and Knowledge Engineering: Some Case Studies

Lexicographic solutions for coalitional rankings

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