Competitive Balance Research Articles

‘Sporting merit’ in European Union law

‘Sporting merit’ played a central role in the judgments of the Court of Justice of the European Union (CJEU) in European Super League Company and Royal Antwerp, However, the concept has been undertheorised, and its role in the so-called ‘European sport model’ (‘ESM’) has been understudied. This article seeks to address this literature gap by understanding both the meaning and role of ‘sporting merit’ in EU law. It begins by analysing the Court’s use of ‘sporting merit’ in its recent case law, arguing that the concept has become a cornerstone of the ESM. It then attempts to conceptualise ‘sporting merit,’ arguing that there are two possible ways to define this concept: a ‘static’ one, which prioritises the reward of immediate sporting achievements; and a ‘dynamic’ one, which places a greater emphasis on the promotion of long-term competitive balance. To understand the respective implications of these definitions, this article then explores how sporting merit is approached in both Europe and the USA. It argues that, whereas the ESM places a greater emphasis on the ‘static’ understanding of sporting merit, its North American counterpart embraces a ‘dynamic’ approach thereto, for example through financial redistribution and through sport-related corrective mechanisms such as draft systems. Building on the above, this article queries whether – and if so how – such corrective mechanisms could be incorporated into the ESM; whether doing so would lead to a more coherent approach to the promotion of ‘sporting merit,’ and whether it would be more in line with Article 165 TFEU.

Dissipative systems - the unity of material and quantum states of living matter

The functional information of dissipative systems in Living Matter correlates with both the physical and mathematical regularities defining its material and quantum operational levels. The quantum operational level of Living Matter necessitates employing mathematical models to describe spaces of high dimensions. The physical significance of such an approach helps ascertain the meaning of "action information" as the "quantum information" of dissipative systems. The quantum properties of dissipative systems determine the competitive balance between the metabolism and homeostasis of a living organism. The properties of "Quantum information" in dissipative systems exhibit general regularities and can be applied in examining the physical and mathematical principles governing "quantum computers" and materials synthesized based on "quantum dots."

Domestic Competitive Imbalance as the “Price” of Surprise in the Champions League

The opinions regarding the impact of the domestic league's competitive balance (CB) on continental club competition sporting success are divided. Through the data of the last 18 seasons (2004/05–2021/22) and 576 games, we have examined whether the teams from a more balanced domestic league can achieve more unexpected results in the Champions League group stage. The current study aims to contribute to previously published literature by applying the market value-based surprise index. The results of panel logistic regression models suggest that a lower domestic league's CB in a given season can support teams to overperform in the international field in the same season.

Patent races and pennant races: A new rationale for revenue sharing in sports leagues

This paper draws an analogy between patent races and pennant races. Both involve externalities: investments by individual firms (teams) produce spillover benefits, but they also precipitate a race to be first. In both contexts, the granting of partial rights to the winner balances these effects. In the case of inventions this takes the form of time-limited patents; in sports competition it takes the form of revenue sharing. This conclusion provides a justification for revenue sharing that differs from the usual claim that it promotes competitive balance.

A Note on the Preferences of Sports Fans: Partisanship Versus Uncertainty of Outcome

Since its inception, a core principle of sports economics has been the claim that fans desire balanced competition—the so-called Uncertainty of Outcome Hypothesis (UOH). While this idea has intuitive appeal, it runs counter to the equally obvious importance of partisanship in shaping fan interest in sporting contests. The absence of a well-accepted theoretical basis for the UOH, coupled with a lack of compelling empirical evidence in support of it, suggests important gaps in the literature. This paper takes a step toward addressing the former need by offering a contest utility function, based on standard Cobb-Douglas preferences, which embodies both partisanship and a demand for competitive balance. The model is used to derive a willingness-to-pay function for game tickets and an expression for aggregate attendance. Findings from the empirical literature are discussed in light of the analysis.

Nitrate reduction pathway of iron sulphides based MFC-CWs purifying low C/N wastewater: Competitive mechanism to inorganic and organic electrons

The hybrid system of microbial fuel cell and constructed wetlands (MFC-CWs) based on iron sulphides substrates in treating low ratio of carbon to nitrogen (C/N) wastewater has been paid more attention because the inorganic electrons supplied were involved in nitrate reduction. However, the relationships in the distribution of inorganic and organic electrons between nitrate reduction and electrogenesis remain unclear. Thus, three MFC-CWs with activated carbon (GAA), pyrite (GHH) and pyrrhotite (GPP) respectively were constructed to compare the nitrate reduction and electrogenesis in polishing the low C/N wastewater. Results showed that the amount of electrons involving nitrate reduction in GPP and GHH increased by 69.97% and 22.61% compared with GAA. And coulombic yields of GPP and GHH were 28 and 19 times higher than that of GAA, respectively. Thauera was regarded as one of the most important functional genera for autotrophic denitrification and electrogenesis. Sulfate and C/N were identified as key environmental factors affecting functional micro-flora. Furthermore, the structural equation model analysis showed that more electrons were allocated to reduce nitrate rather than electrogenesis in GPP and GHH systems. Both organic and inorganic electrons contributed significantly to the complete denitrification in GPP. However, a large part of inorganic electrons also participated in the dissimilatory nitrate reduction to ammonium process within GHH. The significant differences attribute to the competitive balance between inorganic electrons represented by sulfate and organic electrons represented by C/N. These differences indicated the clues and revelation for practical applications of pyrite and pyrrhotite based CWs or MFC-CWs.

Determinants of attendance in the early days of US professional baseball: panel estimation, 1892–1940

ABSTRACT If fan demand is driven by balanced competition and/or the spectacle of the game, then all teams can do well. However, if winning is what really counts, life becomes very difficult for the teams at the bottom of the standings each year. In contrast to the dominant role played by television and media rights today, the calculation was more clear-cut during US baseball’s early days when simply getting fans in the stands was what paid the bills. Although our panel data analysis shows that other factors like home runs hit and competitive balance were also significant over the 1892–1940 period, it appears that fans then, like today, mostly just wanted to see their favourite team win.

Quantifying drainage divide migration in active orogens: Insights from the eastern margin of the Tibetan Plateau

Landscape of active orogens results from a competition balance between tectonic rock uplift and erosion. Drainage divide migration is a useful approach for quantifying the landscape evolution and the underpinning drivers, because the fluvial networks adjust their geometry in response to spatiotemporal changes in rock uplift, climate and lithology. Many quantitative geomorphological metrics, such as χ-anomaly, Gilbert metrics, have been proposed to analyze the drainage divide migration. However, their interpretations often yield inconsistent results, especially in tectonically active orogens with spatial changes in rock uplift. The highly elevated and tectonically active eastern margin of the Tibetan Plateau has been studied by multiple methods of different time-scales, producing abundant structural and erosion rates determinations needed for evaluating the landscape stability and evolution. Here, we evaluated the effectiveness of χ- and Gilbert metrics in quantifying the stability of the Longmenshan-Minshan divide parallel with the plateau margin, by comparing with erosion rate data of different time scales, rock uplift predicted by upper crustal structures, bedrock lithology, precipitation. Our analyses reveal that the divide has reached dynamic steady state, as shown by the consistent cross-divide Gilbert metrics and consistent spatial changes of short, medium and long-term erosion rates, indicating the overall balance between the erosion and rock uplift. The spatial changes in rock uplift underpinned by reverse faulting along a listric upper crustal fault also explains the development of cross-divide χ-anomaly that cannot be used as an index for divide migration in regions with spatially nonuniform rock uplift. The formation of the long-term stable drainage divide in the EMTP serves as a natural laboratory for studying the divide formation and evolution in response to a phase of non-uniform rock uplift. We infer that in regions of this kind, drainage divide forms and evolves from uplift-driven to erosion-driven migration, via an intervening stable state.

Ultra-low esfenvalerate exposure may disrupt interspecific competition

Field and mesocosm studies repeatedly show that higher tier processes reduce the predictive accuracy of toxicity evaluation and thus their value for pesticide risk assessment. Therefore, understanding the influence of ecological complexity on toxicant effects is crucial to improve realism of aquatic risk assessment. Here we investigate the influence of repeated exposure to ecologically realistic concentrations of esfenvalerate on the two similarly sensitive species Daphnia magna and Culex pipiens in a food limited and highly competitive environment. We show that significant perturbations in population development are only present at 100 ng/L (close to the EC50). In contrast, interspecific competition between species is already reduced at 0.1 ng/L (≤ 3 orders of magnitude below the acute lethal EC50). We conclude that extremely low, environmentally relevant concentrations can disrupt species interactions. This toxicant mediated alteration of competitive balances in ecological communities may be the underlying mechanism for shifts in species distribution at ultra-low pesticide concentrations. A realistic risk assessment should therefore consider these processes in order to predict potential pesticide effects on the structure of communities.

Financing UK democracy: a stocktake of 20 years of political donations disclosure

AbstractPolitical donations in the UK have been subject to comprehensive disclosure since 2001. We study the data produced as part of this disclosure policy to evaluate the role of private and public political finance over time. Total political donations have grown by nearly 250 per cent since 2001, reaching over £100 million in real terms for the first time in 2019. This increase has been driven by donations from private individuals, who now account for approximately 60 per cent of donations in election years compared to 40–50 per cent up to the late 2010s. Furthermore, ‘super‐donors’ (those contributing more than £100,000) have been a prominent driver of the rise, increasing their own share from approximately 31 per cent in 2017 to 45 per cent in 2019. We also show that private donations to the Labour Party fell sharply in the final stages of Jeremy Corbyn's leadership. These trends have benefited the Conservative Party, leading to a historic donation gap between the two main parties emerging circa 2019. We calculate that this gap between parties now stands at approximately £27 million compared to a historic average of £8–£10 million. This gap remains even after considering publicly funded ‘Short’ money provided to the opposition, which aims to increase competitive balance in the UK's democratic system.

Valuing Australian football league draft picks.

To ensure uncertainty in match outcomes, professional sporting leagues have used various competitive balance policies, including player salary caps, revenue sharing among teams and player drafts. The Australian Football League (AFL) introduced a player draft in 1986, and to refine its operation, a draft value index (DVI) was introduced in 2015. The DVI allocates a numeric value to each individual player draft pick, with these values determined by the AFL using historic player compensation or wage and salary data. The AFL DVI plays an essential role in the operation of its player draft; however, other research has questioned the validity of such indexes. This paper aims to produce an alternative to the AFL DVI. The former index uses career compensation as the determinant of value, whereas we use other measures of player performance. First, various models were developed to predict on-field performance, such as games played (both in a recruit's career and season) after a draftee was selected for the first time by a team. This was then retrofitted to the pick used to select these draftees to create the new DVIs. Even though the predicted DVI followed an inverse monotonic function like the existing index, the decline in value for the DVI produced here was less steep, unlike the AFL's. This allowed us to conclude that players' salaries did not always strongly correlate to performance. The change in performance between players selected at different points in the draft did not vary as much as their wages. Though this scheme is applied to the AFL, the underlying concept could be directly exported to other player drafts.

Recovery of algal turfs following removal

As a consequence of the increasing human footprint on the environment, marine ecosystems are rapidly transforming into new configurations dominated by early-successional and weedy life forms. Algal turfs, in particular, are emerging as a common and widespread configuration of shallow temperate and tropical reefs, and are predicted to transform reef dynamics and ecosystem services. Restoration is an increasingly used approach to mitigate these transformations, with turf removal being proposed as a tool to shift back the competitive balance and facilitate the recovery of initial species, such as forest-forming seaweeds. Yet, our practical understanding of turf recovery trajectories following removal is limited, and removal success may be hindered by strong feedback mechanisms that reinforce turf dominance once turfs are established. Here we investigate the recovery of algal turfs and their properties (mean height, turf biomass and sediment load) to experimental clearance across six turf-dominated reefs at ca. 9 m in subtropical western Australia. Turf cover, mean height, and sediment loads exhibited a rapid recovery following experimental clearing, with all experimental sites reaching pre-clearing turf conditions between 28 and 46 days. This response was mostly driven by the growth of filamentous turf species, whose cover exhibited a positive relationship with sediment load, and are well-known to rapidly recover after disturbance. Turf abundance and turf properties remained relatively constant for the remaining experimental period. Our results suggest that clearing turfs creates only a small time window for recovery of seaweed forests, which limits the effectiveness of turf clearing as a restoration tool. System-specific quantitative evidence on the recovery capacity of turfs may thus be necessary to guide restoration initiatives and develop decision support systems that account for the risks, feasibility, and costs and benefits of restoring turf-dominated systems to previous configurations.

Evolution of strength with rare-earth content in highly-alloyed Mg-Gd-Y alloys

Mechanical properties of extruded Mg-Gd-Y alloys are investigated as a function of rare-earth content within the high concentration range. The strength is found to change non-monotonously with the total rare-earth content. A maximum of tensile yield strength (275 MPa) and ultimate tensile strength (348 MPa) is achieved at ∼18 wt. % rare-earth content. While grain refinement and solid solution strengthening mechanism are found to primarily contribute to the value of yield strength, the change of solid solution strengthening due to the competitive balance of solid solubility between the alloying species is demonstrated to dominate the non-monotonous evolution of tensile yield strength upon rare-earth content. In addition, the increased block precipitates deteriorate the capacity of plastic deformation and decrease tensile strength at high rare-earth content. The present findings provide helpful guidance for the intelligent design of highly-alloyed Mg alloys.

Effects of deterministic assembly of communities caused by global warming on coexistence patterns and ecosystem functions

Seasonal rhythms in biological and ecological dynamics are fundamental in regulating the structuring of microbial communities. Evaluating the seasonal rhythms of microorganisms in response to climate change could provide information on their variability and stability over longer timescales (>20-year). However, information on temporal variability in microorganism responses to medium- and long-term global warming is limited. In this study, we aimed to elucidate the temporal dynamics of microbial communities in response to global warming; to this end, we integrated data on the maintenance of species diversity, community composition, temporal turnover rates (v), and community assembly process in two typical ecosystems (meadows and shrub habitat) on the Qinghai-Tibet Plateau. Our results showed that 21 years of global warming would increase the importance of the deterministic process for microorganisms in both ecosystems across all seasons (R2 of grassland (GL) control: 0.524, R2 of GL warming: 0.467; R2 of shrubland (SL) control: 0.556, R2 of SL warming: 0.543), reducing species diversity and altering community composition. Due to environmental filtration pressure from 21 years of warming, the low turnover rate (v of warming: −3.13/-2.00, v of control: −2.44/−1.48) of soil microorganisms reduces the resistance and resilience of ecological communities, which could lead to higher community similarity and more clustered taxonomic assemblages occurring across years. Changes to temperature might increase selection pressure on specialist taxa, which directly causes dominant species (v of warming: −1.63, v of control: −2.49) primarily comprising these taxa to be more strongly impacted by changing temperature than conditionally (v of warming: −1.47, v of control: −1.75) or always rare taxa (v of warming: −0.57, v of control: −1.33). Evaluation of the seasonal rhythms of microorganisms in response to global warming revealed that the variability and stability of different microbial communities in different habitats had dissimilar biological and ecological performances when challenged with an external disturbance. The balance of competition and cooperation, because of environmental selection, also influenced ecosystem function in complex terrestrial ecosystems. Overall, our study enriches the limited information on the temporal variability in microorganism responses to 21 years of global warming, and provides a scientific basis for evaluating the impact of climate warming on the temporal stability of soil ecosystems.

Has financial fair play changed European football?

In 2011 UEFA, the governing body of European football, introduced the Financial Fair Play Regulation (FFPR), consisting of a set of financial restraints to be met by clubs as a prerequisite for participation to its competitions. The aim of the FFPR was to introduce financial discipline into the clubs’ decision-making processes, and ultimately protect the long-term viability of the European football industry. The reform was criticized because of possible unintended detrimental consequences. In particular, Peeters and Szymanski (2014) provided a model-based ex-ante simulation analysis showing that the reform would increase the profitability of clubs, but also tilt the competitive balance in favor of the top teams, thus reducing the interest of fans and investors as one of the main attractions in sports is precisely that the best team does not always win. Exploiting an original dataset between the seasons 2007–2008 and 2019–2020, we provide an ex-post econometric evaluation of the effects of the introduction of the FFPR revealing causal evidence that largely vindicates those ex-ante predictions.

Dispersion and persistence in the competitive balance of North American major leagues 1960–2019

PurposeThis paper focuses on the proliferation of empirical measures of competitive balance arising from its multi-dimensionality (i.e. win dispersion versus performance persistence), and the increasing complexity and specificity of league structures. This has led to significant inconsistencies in the assessments of competitive balance, rendering it difficult to derive policy recommendations.Design/methodology/approachThe authors extend previous empirical studies of the four North American major leagues (i.e. MLB, NFL, NBA and NHL) using six competitive balance measures to (1) compare changes in competitive balance over the period 1960–2019; (2) to investigate the degree to which win dispersion and performance persistence move in the same direction; and (3) to explore the extent to which competitive balance has changed across facility construction eras and regulatory regimes.FindingsThe authors find that the assessment of competitive balance is both metric-dependent and time-dependent, reinforcing the importance of using a portfolio of measures rather than a single metric. The findings also highlight the importance of understanding the dispersion-persistence relationship.Originality/valueThe authors stress that leagues must be aware of a potential dispersion-persistence trade-off when intervening to improve competitive balance.

Complex battlefields favor strong soldiers over large armies in social animal warfare

In social animals, success can depend on the outcome of group battles. Theoretical models of warfare predict that group fighting ability is proportional to two key factors: the strength of each soldier in the group and group size. The relative importance of these factors is predicted to vary across environments [F. W. Lanchester, Aircraft in Warfare, the Dawn of the Fourth Arm (1916)]. Here, we provide an empirical validation of the theoretical prediction that open environments should favor superior numbers, whereas complex environments should favor stronger soldiers [R. N. Franks, L. W. Partridge, Anim. Behav. 45, 197-199 (1993)]. We first demonstrate this pattern using simulated battles between relatively strong and weak soldiers in a computer-driven algorithm. We then validate this result in real animals using an ant model system: In battles in which the number of strong native meat ant Iridomyrmex purpureus workers is constant while the number of weak non-native invasive Argentine ant Linepithema humile workers increases across treatments, fatalities of I. purpureus are lower in complex than in simple arenas. Our results provide controlled experimental evidence that investing in stronger soldiers is more effective in complex environments. This is a significant advance in the empirical study of nonhuman warfare and is important for understanding the competitive balance among native and non-native invasive ant species.

Understanding and Mitigating Fraud Risk in Professional Football

ABSTRACT Evidence of football fraud and how it can be addressed is fragmented in the literature, lacking a holistic view. This paper provides a holistic understanding of fraud in professional football through a comprehensive framework that encompasses (i) the typologies and methods of perpetrating fraud in football, (ii) the enablers of football fraud, and (iii) how to mitigate fraud risk in professional football. Additionally, it highlights literature gaps and suggests new directions for future research to open up academic debates on this significant topic. The findings show no evidence of external fraud reported in the literature. However, insider fraud, particularly corruption in all its forms, is well documented. There is minimal evidence of other insider fraud types, such as asset misappropriation and financial fraud, and even fewer studies discussing fraud against football players and fans. The analysis highlights various fraud risk factors in football, ranging from financial and sporting performance, competitive balance, and financial regulation issues to the lack of accountability, anti-fraud controls, governance mechanisms, and weak integrity culture in FIFA and football clubs. The paper summarizes various other motives and opportunities enabling football fraud and proposes a holistic framework for mitigating fraud risk in football.

Response of the competitive balance model to the external field.

The competitive balance model was proposed as an extension of the structural balance theory, aiming to account for heterogeneities observed in real-world networks. In this model, different paradigms lead to form different friendship and enmity. As an example, friendship or enmity between countries can have a political or religious basis. The suggested Hamiltonian is symmetrical between paradigms. Our analyses show that a balanced state can be achieved if just one paradigm prevails in the network and the paradigm shift is possible only by imposing an external field. In this paper, we investigate the influence of the external field on the evolution of the network. We drive the mean-field solutions of the model and verify the accuracy of our analytical solutions by performing Monte-Carlo simulations. We observe that the external field breaks the symmetry of the system. The response of the system to this external field, contingent upon temperature, can be either paramagnetic or ferromagnetic. We observed a hysteresis behavior in the ferromagnetic regime. Once communities are formed based on a certain paradigm, then they resist change. We found that to avoid wasting energy we need to know the level of stochastic behavior in the network. Analogous to magnetic systems, we observe that susceptibility adheres to Curie's law.

Effect of saline–alkaline stresses on the interspecific competition between Aegilops tauschii and Triticum aestivum

Soil salinization has produced severe consequences on global agricultural production and ecological environment. Based on the features of saline soils in China, through mixed NaCl, NaHCO3, Na2SO4, and Na2CO3 at varying ratios to simulate the salinity–alkalinity stress and conducted a controlled pot experiment using De Wit replacement method. The effects of salinity–alkalinity stress on the growth of Aegilops tauschii and its competition with wheat were explored to provide a reference for the study of invasion mechanism of A. tauschii. The result showed that, the salinity–alkalinity stress inhibited the growth and development of both the species, which was reflected in plant height, leaf area and total biomass indicators. Secondly, the tolerance of both plant species to salinity–alkalinity stress was improved by increasing the superoxide dismutase (SOD) activity and the proline content. However, as the salinity–alkalinity stress was exacerbated, the relative conductivity and thiobarbituric acid (TBARS) content increased significantly in both the species. As suggested by the level of increase in SOD activity, proline content, relative conductivity, and TBARS content, A. tauschii was more tolerant to the salinity–alkalinity stress than wheat. Finally, it can be seen from the value of the competition balance index, A. tauschii was still more competitive than wheat even under salinity–alkalinity stress. In summary, A. tauschii was more tolerant of the salinity–alkalinity stress than wheat through the favorable adjustment of morphology, biomass allocation pattern, and physiological features, which is expected to increase its invasion damage to wheat.