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Analysing Olympic Games through dominance networks

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  • Calzada-Infante, Laura
  • Lozano, Sebastián

Abstract

The aim of this paper is to assess the results/performance of countries in the Olympic Games, taking into account their size and resources. A complex network analysis approach is proposed. The first step is to build the dominance network, which is a weighted directed graph in which nodes represent the participating nations and the arc length between any two nations measures the weighted difference in the number of medals won by both countries. An arc from a country to another b exists only if the latter has won more medals than the former and, in addition, it is smaller in population and in terms of GDP. In other words, an arc between two nodes exists if the origin nation performs worse than the destination when, given the population and GDP of both countries, it should have performed better (or at least equally). This dominance network has transitive links and a layered structure and, apart from being visualized, it can be characterized using different complex network measures. The results of the Beijing 2008 Olympic Games are used to illustrate the proposed approach.

Suggested Citation

  • Calzada-Infante, Laura & Lozano, Sebastián, 2016. "Analysing Olympic Games through dominance networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 1215-1230.
  • Handle: RePEc:eee:phsmap:v:462:y:2016:i:c:p:1215-1230
    DOI: 10.1016/j.physa.2016.07.001
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    as
    1. Filippo Radicchi, 2011. "Who Is the Best Player Ever? A Complex Network Analysis of the History of Professional Tennis," PLOS ONE, Public Library of Science, vol. 6(2), pages 1-7, February.
    2. JosÉ Figueira & Salvatore Greco & Matthias Ehrogott, 2005. "Multiple Criteria Decision Analysis: State of the Art Surveys," International Series in Operations Research and Management Science, Springer, number 978-0-387-23081-8, December.
    3. S Lozano & G Villa & F Guerrero & P Cortés, 2002. "Measuring the performance of nations at the Summer Olympics using data envelopment analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(5), pages 501-511, May.
    4. Lins, Marcos P. Estellita & Gomes, Eliane G. & Soares de Mello, Joao Carlos C. B. & Soares de Mello, Adelino Jose R., 2003. "Olympic ranking based on a zero sum gains DEA model," European Journal of Operational Research, Elsevier, vol. 148(2), pages 312-322, July.
    5. Réka Albert & Hawoong Jeong & Albert-László Barabási, 2000. "Error and attack tolerance of complex networks," Nature, Nature, vol. 406(6794), pages 378-382, July.
    6. Mukherjee, Satyam, 2012. "Identifying the greatest team and captain—A complex network approach to cricket matches," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 6066-6076.
    7. D Zhang & X Li & W Meng & W Liu, 2009. "Measuring the performance of nations at the Olympic Games using DEA models with different preferences," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(7), pages 983-990, July.
    8. Xiyang Lei & Yongjun Li & Qiwei Xie & Liang Liang, 2015. "Measuring Olympics achievements based on a parallel DEA approach," Annals of Operations Research, Springer, vol. 226(1), pages 379-396, March.
    9. Narizuka, Takuma & Yamamoto, Ken & Yamazaki, Yoshihiro, 2014. "Statistical properties of position-dependent ball-passing networks in football games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 412(C), pages 157-168.
    10. Wu, Jie & Liang, Liang & Yang, Feng, 2009. "Achievement and benchmarking of countries at the Summer Olympics using cross efficiency evaluation method," European Journal of Operational Research, Elsevier, vol. 197(2), pages 722-730, September.
    11. Vagenas, George & Vlachokyriakou, Eleni, 2012. "Olympic medals and demo-economic factors: Novel predictors, the ex-host effect, the exact role of team size, and the “population-GDP” model revisited," Sport Management Review, Elsevier, vol. 15(2), pages 211-217.
    12. Li, Yongjun & Lei, Xiyang & Dai, Qianzhi & Liang, Liang, 2015. "Performance evaluation of participating nations at the 2012 London Summer Olympics by a two-stage data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 243(3), pages 964-973.
    13. Li, Yongjun & Liang, Liang & Chen, Yao & Morita, Hiroshi, 2008. "Models for measuring and benchmarking olympics achievements," Omega, Elsevier, vol. 36(6), pages 933-940, December.
    14. Jie Wu & Liang Liang, 2010. "Cross-efficiency evaluation approach to Olympic ranking and benchmarking: the case of Beijing 2008," International Journal of Applied Management Science, Inderscience Enterprises Ltd, vol. 2(1), pages 76-92.
    15. Jie Wu & Zhixiang Zhou & Liang Liang, 2010. "Measuring the Performance of Nations at Beijing Summer Olympics Using Integer-Valued DEA Model," Journal of Sports Economics, , vol. 11(5), pages 549-566, October.
    16. Saavedra, Serguei & Powers, Scott & McCotter, Trent & Porter, Mason A. & Mucha, Peter J., 2010. "Mutually-antagonistic interactions in baseball networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(5), pages 1131-1141.
    17. Andrew B. Bernard & Meghan R. Busse, 2004. "Who Wins the Olympic Games: Economic Resources and Medal Totals," The Review of Economics and Statistics, MIT Press, vol. 86(1), pages 413-417, February.
    18. Mukherjee, Satyam, 2014. "Quantifying individual performance in Cricket — A network analysis of batsmen and bowlers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 624-637.
    19. Wu, Jie & Liang, Liang & Chen, Yao, 2009. "DEA game cross-efficiency approach to Olympic rankings," Omega, Elsevier, vol. 37(4), pages 909-918, August.
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    2. Alexandre de Cássio Rodrigues & Carlos Alberto Gonçalves & Tiago Silveira Gontijo, 2019. "A two-stage DEA model to evaluate the efficiency of countries at the Rio 2016 Olympic Games," Economics Bulletin, AccessEcon, vol. 39(2), pages 1538-1545.
    3. Sebastián Lozano & Gabriel Villa, 2023. "Multiobjective centralized DEA approach to Tokyo 2020 Olympic Games," Annals of Operations Research, Springer, vol. 322(2), pages 879-919, March.
    4. Laura Calzada-Infante & Sebastián Lozano, 2022. "Computing multiperiod efficiency using dominance networks," Annals of Operations Research, Springer, vol. 309(1), pages 37-57, February.

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