Futbol endüstrisinde rekabetçi dengenin oluşturulmasına matematiksel bir yaklaşım: Ücret tavanı modeli

Bir futbol liginin kalitesi mevcut ligdeki rekabetçi dengenin var olup olmamasına bağlıdır. Rekabetçi denge, maç sonuçlarının önceden kolaylıkla tahmin edilememesine, başka bir deyişe belirsizlik ilkesinin varlığı ile mümkün olmaktadır. Son yıllarda, özellikle Avrupa’nın önemli liglerinde, rekabetçi dengenin mali güce sahip zengin kulüplerin lehine bozulduğu gözlenmektedir. Bu nedenle profesyonel spor dallarında transfer harcamalarına sınır koymaksızın, yüksek bütçeye sahip kulüplerin liglere egemen olma tehlikesi vardır. Teorik olarak ücret tavanı, oyunculara ödenen ücretleri azaltabilir, yetenekli futbolcuların zengin kulüplerde toplanmasının önüne geçebilir ve liglerdeki rekabetçi dengeyi iyileştirebilir. Bu çalışmada, ücret tavanı modeli hem teorik hem de matematiksel olarak ele alınırken, diğer yandan modelin rekabetçi denge üzerine olan muhtemel etkileri incelenmiştir. Ayrıca modelin olumlu ve olumsuz yönleri de tartışılmıştır

A mathematical approach for establishing of competitive balance at the footbal industry: Salary cap model

The quality of the football league depends on whether existing of the competitive balance. Competitive balance exists when the scores of the game results cannot be estimated previously, in other words by the existence of the uncertainty principle. In recent years it has been monitored that competitive balance was distorted for the benefit of the wealthy/rich football clubs in the important leagues of Europe. Therefore, as a danger, rich football clubs prevalence over the leagues without placing limit to the transfer expenses at the professional sports branches. Theoretically salary cap can reduce the wages that have been paying to the football players, can prevent accumulation of the highly talented players within the wealthy football clubs and can develop the competitive balance in the leagues. In this study, while a salary cap model has been taken into consideration both theoretically and mathematically, possible effects of the model upon the competitive balance was examined on the other hand. Additionally positive and negative aspects of the model were discussed as well.

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