publication . Research . Preprint . Article . 2016

Catch-Up: A Rule That Makes Service Sports More Competitive

Steven J. Brams; Mehmet S. Ismail; D. Marc Kilgour; Walter Stromquist;
Open Access English
  • Published: 01 Jan 2016
Abstract
Comment: 31 pages. Forthcoming in The American Mathematical Monthly, 2018
Persistent Identifiers
Subjects
ACM Computing Classification System: ComputingMilieux_PERSONALCOMPUTING
free text keywords: 2 International, c72 - Noncooperative Games, d63 - Equity, Justice, Inequality, and Other Normative Criteria and Measurement, l83 - "Sports; Gambling; Recreation; Tourism", sports rules, service sports, Markov processes, competitiveness, fairness, strategy-proofness, Mathematics - History and Overview, Economics - Theoretical Economics, 60J20, 91A80, 91A20, d63 - Equity, Justice, Inequality, and Other Normative Criteria and Measurement, Tourism, Advertising, Operations research, Strategy proofness, Engineering, business.industry, business, Recreation, Markov process, symbols.namesake, symbols
16 references, page 1 of 2

[1] N. Anbarci, C.-J. Sun, M. U. U¨nver (2015). Designing fair tiebreak mechanisms: The case of FIFA penalty shootouts. http://ssrn.com/abstract=2558979 [OpenAIRE]

[2] C. L. Anderson (1977). Note on the advantage of first serve. Journal of Combinatorial Theory, Series A. 23(3): 363.

[3] J. D. Barrow (2012). Mathletics: 100 Amazing Things You Didn't Know about the World of Sports. W. W. Norton.

[4] S. J. Brams, A. D. Taylor (1999). The Win-Win Solution: Guaranteeing Fair Shares to Everybody. W. W. Norton.

[5] S. J. Brams, M. S. Ismail (2018). Making the rules of sports fairer. SIAM Review. 60(1): 181-202.

[6] D. Cohen-Zada, A. Krumer, O. M. Shapir (2018). Testing the effect of serve order in tennis tiebreak. Journal of Economic Behavior & Organization. 146: 106-115.

[7] D. Hess (2014). Golf on the Moon: Entertaining Mathematical Paradoxes and Puzzles. Mineola, NY: Dover Publications.

[8] A. Isaksen, M. Ismail, S. J. Brams, A. Nealen (2015). Catch-Up: A game in which the lead alternates. Game & Puzzle Design. 1(2): 38-49.

[9] J. G. Kemeny, J. L. Snell (1983). Finite Markov Chains. New York: Springer.

[10] J. G. Kingston (1976). Comparison of scoring systems in two-sided competitions. Journal of Combinatorial Theory, Series A. 20(3): 357-362. [OpenAIRE]

[11] I. Palacios-Huerta (2014). Beautiful Game Theory: How Soccer Can Help Economics. Princeton Univ. Press.

[12] M. Pauly (2014). Can strategizing in round-robin subtournaments be avoided? Social Choice and Welfare. 43(1): 29-46. [OpenAIRE]

[13] B. J. Ruffle, O. Volij (2016). First-mover advantage in best-of series: an experimental comparison of role-assignment rules. International Journal of Game Theory. 45(4): 933-970.

[14] M. F. Schilling (2009). Does momentum exist in competitive volleyball? CHANCE. 22(4): 29-35.

[15] J. von Neumann, O. Morgenstern (1953). Theory of Games and Economic Behavior. Third ed. Princeton Univ. Press.

16 references, page 1 of 2
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