Years and Authors of Summarized Original Work
2006; Chen, Deng, Liu
Problem Definition
Ensuring truthful evaluation of alternatives in human activities has always been an important issue throughout history. In sports, in particular, such an issue is vital and practice of the fair-play principle has been consistently put forward as a matter of foremost priority. In addition to relying on the code of ethics and professional responsibility of players and coaches, the design of game rules is an important measure in enforcing fair play.
Ranking alternatives through pairwise comparisons (or competitions) is the most common approach in sports tournaments. Its goal is to find out the “true” ordering among alternatives through complete or partial pairwise competitions [1, 3–7]. Such studies have been mainly based on the assumption that all the players play truthfully, i.e., with their maximal effort. It is, however, possible that some players form a coalition and cheat for group benefit. An...
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Recommended Reading
Chang P, Mendonca D, Yao X, Raghavachari M (2004) An evaluation of ranking methods for multiple incomplete round-robin tournaments. In: Proceedings of the 35th annual meeting of decision sciences institute, Boston, 20–23 Nov 2004
Chen X, Deng X, Liu BJ (2006) On incentive compatible competitive selection protocol. In: Proceedings of the 12th annual international computing and combinatorics conference (COCOON’06), Taipei, 15–18 Aug 2006, pp 13–22
Harary F, Moser L (1966) The theory of round robin tournaments. Am Math Mon 73(3):231–246
Jech T (1983) The ranking of incomplete tournaments: a mathematician’s guide to popular sports. Am Math Mon 90(4):246–266
Mendonca D, Raghavachari M (1999) Comparing the efficacy of ranking methods for multiple round-robin tournaments. Eur J Oper Res 123:593–605
Rubinstein A (1980) Ranking the participants in a tournament. SIAM J Appl Math 38(1):108–111
Steinhaus H (1950) Mathematical snapshots. Oxford University Press, New York
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Chen, X. (2015). Incentive Compatible Selection. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27848-8_185-3
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DOI: https://doi.org/10.1007/978-3-642-27848-8_185-3
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Chapter history
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Latest
Incentive Compatible Selection- Published:
- 30 May 2015
DOI: https://doi.org/10.1007/978-3-642-27848-8_185-3
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Original
Incentive Compatible Selection- Published:
- 25 November 2014
DOI: https://doi.org/10.1007/978-3-642-27848-8_185-2