题名

排球的舉球賽局分析

并列篇名

Analysis of Ball Setting Game in Volleyball

作者

林楷(Kai Lin)

关键词

混合策略均衡 ; 舉球策略 ; 預期報酬 ; 賽局理論 ; Mixed Strategy Equilibrium ; Ball Setting Strategy ; Expected Payoffs ; Game Theory

期刊名称

休憩管理研究

卷期/出版年月

6卷1期(2019 / 08 / 01)

页次

13 - 24

内容语文

繁體中文

中文摘要

在一個高階的排球比賽中,比賽的結果是大部分根據每一次攻擊手跟攔網球員對決結果的累積,每一次對決的結果除了攻擊手及攔網球員間的運動技能差異外,舉球員的舉球戰術策略就是關鍵。在實際的排球比賽中,攻擊的策略執行實際上是受到舉球員的舉球策略所引導,而攔網策略更是依據攻擊方舉球策略的預測來進行攔網策略的設定。本研究將針對排球比賽舉球員的舉球策略來建立賽局分析模式,提出舉球員對排球比賽結果的重要性,以及舉球員的能力對於排球比賽影響的程度。研究的結果顯示在兩方面:第一方面,經由賽局的混合策略均衡的分析,舉球員的最佳的舉球策略是在所能舉出球的型態中,採取一個均勻的分配,相對的,防守方最佳的攔網策略也是根據舉球員能舉出的球類型態的一個均勻分配;第二方面,排球比賽攻擊方的預期報酬會隨著舉球員舉球種類的增加而增加。從以上兩點結論發現,舉球員對於球隊的最大的影響是在於能舉出多少的型態的球給攻擊手攻擊,因此也定義出排球舉球員的能力就是在於精熟的舉出多少的型態的球種。

英文摘要

In a high level volleyballmatch, the result of a match is mostly based on the cumulative results of each confrontation from the spiker against the blockers. Each confrontation results not only from the difference of motor skills between the attacking and blocking players, but also from the tactical strategy of the setter. In an actual volleyball match, the attacking strategy execution is actually guided by the ball setting strategy of the setter, and the blocking strategy is set upon the prediction of ball setting strategy from the attacking team. This research was to set up the game analysis model for the ball setting strategy of the setter. The purposes of the study were to find out the importance of the setter to the result of the volleyball match, and the impact of the setter's capability can do in a volleyball match. The results of the study shown in two aspects. First, through the analysis of mixed strategy equilibrium, the optimal ball setting strategy for the setter was to take a uniform distribution from all the ball types that the setter can set, and accordingly, the optimal blocking strategy of the defensive team was also a uniform distribution from all the ball types that setter can set in the offensive team. Second, the expected payoffs increased with the number of ball types that the setter can set in the attacking team. The results of the study found that the most impact of the setter on the team is to set out more types of ball for the spikers. The ability of the setter was also defined as how many numbers of ball types that setter can set in the quality skills.

主题分类 社會科學 > 體育學
社會科學 > 管理學
参考文献
  1. 呂宛蓁,楊振興(2011)。從女排加入企業排球聯賽談未來營運策略。大專體育,114,48-53。
    連結:
  2. 林德昭,李育忠,李詩賓(2012)。以賽局理論觀點分析美國職棒比賽的投打對決─以 2011 以美國職棒世界大賽第六戰為案例。萬能學報,34,99-117。
    連結:
  3. 廖立仁,許太彥,許南海(2008)。排球跳躍發球對排球技術表現之初探─以甲級男子排球企業聯賽為例。排球教練科學,11,41-47。
    連結:
  4. 鄭芳梵,楊昌斌,林裕益,鄧政偉(2017)。接發球對排球主攻手攻擊之影響。臺東大學體育學報,27,23-32。
    連結:
  5. Boronico, J.S.,Newbert, S.L..Play calling strategy in American football: a game-theoreticstochastic dynamic programming approach.Journal of sport management,13(2),103-113.
  6. Chiappori, P.,Levitt, S.,Groseclose, T.(2002).Testing mixed-strategy equilibria when players are heterogeneous: The case of penalty kicks in soccer.American Economic Review,92,1138-1151.
  7. Coloma, G.(2007).Penalty kicks in soccer-An alternative methodology for testing mixed-strategy equilibria.Journal of Sports Economics,8,530-545.
  8. Driskill, R.,Vrooman, J(2016).It’s not over ‘til the fat lady sings game-theoretic analyses of sports leagues.Journal of Sports Economics,17(4),354-376.
  9. Driskill, R.,Vrooman, J.(2015).Talent versus payroll as strategic variables in game theoretic models of sports leagues: response to Madden.Journal of Sports Economics
  10. Dutta, P. K.(1999).Strategies and Games-Theory and Practice.Cambridge, Massachusetts:The MIT Press.
  11. Eber, N.(2007).The performance-enhancing drug game reconsidered: A fair play approach.Journal of Sports Economics,9(3),318-327.
  12. Haugen, K. K.(2006).Research notes: An economic model of player trade in professional sports a game theoretic approach.Journal of Sports Economics,7(3),309-318.
  13. Haugen, K. K.(2004).The performance-enhancing drug game.Journal of Sports Economics,5(1),67-86.
  14. Hirschmann, D.(2015).May increasing doping sanctions discourage entry to the competition?.Journal of Sports Economics
  15. Kirstein, R.(2014).Doping, the inspection game, and Bayesian enforcement.Journal of Sports Economics,15(4),385-409.
  16. Kuhn, H. W.(Ed.)(1997).Classics in game theory.Princeton, NJ:Princeton University Press.
  17. Lee, K. T.,Chin, S. T.(2004).Strategies to serve or receive the service in volleyball.Mathematical Methods of Operations Research,59(1),53-67.
  18. Lin, K. K.(2014).Applying game theory to volleyball strategy.International Journal of Performance Analysis in Sport,14(3),761-774.
  19. Lin, K. K.(2018).Sequential strategy making for volleyball blocker.International Journal of Management and Applied Science,4(12),13-15.
  20. Madden, P.(2011).Game theoretic analysis of basic team sports leagues.Journal of Sports Economics,12(4),407-431.
  21. Marcelino, R. O.,Sampaio, J. E.,Mesquita, I. M.(2012).Attack and serve performances according to the match period and quality of opposition in elite volleyball matches.The Journal of Strength & Conditioning Research,26(12),3385-3391.
  22. Marcelino, R.,Mesquita, I.,Afonso, J.(2008).The weight of terminal actions in volleyball. Contributions of the spike, serve and block for the teams' rankings in the World League 2005.International Journal of Performance Analysis in Sport,8(2),1-7.
  23. Moschini, G.(2004).Nash equilibrium in strictly competitive games: Live play in soccer.Economic Letters,85,365-371.
  24. Myerson, R.(1991).Game Theory: Analysis of Conflict.Cambridge:Harvard University Press.
  25. Osborne, M. J.(2003).An introduction to game theory.New York:Oxford University Press.
  26. Ouesslati, N.,Mekni, R.,Sahli, H.,Bouassida, A.(2015).Verbalization in Sport and Physical Education Study of Volleyball Teachers’ Conceptions.Creative Education,6(14),1603-1609.
  27. Palacios-Huerta, I.(2003).Professionals play minimax.Review of Economic Studies,70,395-415.
  28. Sindik, J.,Vidak, N.(2008).Application of game theory in describing efficacy of decision making in sportsman's tactical performance in team sports.Interdisciplinary Description of Complex Systems,6(1),53-66.
  29. Sturm, F.(2002).Components of a Successful Offense.Scholastic Coach & Athletic Director,72(5),12-17.
  30. Sutiono, A. P.,Purwarianti, A.,Iida, H.(2014).A mathematical model of game refinement.International Conference on Intelligent Technologies for Interactive Entertainment
  31. Taylor, B. A.,Trogdon, J. G.(2002).Losing to win: Tournament incentives in the National Basketball Association.Journal of Labor Economics,20(1),23-41.
  32. Von Neumann, J. and Morgenstern, O. (1947). “Theory of Games and Economic Behavior. (2nd ed). Princeton,” NJ: Princeton University Press.
  33. 李函潔(2001)。中國大陸男子排球隊接發球隊型策略研究。中華體育季刊,15(1),70-75。
  34. 紀恩成(2015)。賽局理論觀點分析排球賽事、訓練及選才運用。屏東大學體育,1,37-47。
  35. 陳銘鐘(2010)。探討我國大專排球聯賽經營方向之分析。休閒保健期刊,4,89-93。