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Incentive Compatible Selection

2006; Chen, Deng, Liu

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Keywords and Synonyms

Incentive compatible selection; Incentive compatible ranking; Algorithmic mechanism design      

Problem Definition

Ensuring truthful evaluation of alternatives in human activities has always been an important issue throughout history. In sport, 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, 4, 5, 6, 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...

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Recommended Reading

  1. Chang, P., Mendonca, D., Yao, X., Raghavachari, M.: 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 November 2004

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  2. Chen, X., Deng, X., Liu, B.J.: On incentive compatible competitive selection protocol. In: COCOON'06: Proceedings of the 12th Annual International Computing and Combinatorics Conference, pp. 13–22, Taipei, 15–18 August 2006

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  3. Harary, F., Moser, L.: The theory of round robin tournaments. Am. Math. Mon. 73(3), 231–246 (1966)

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  4. Jech, T.: The ranking of incomplete tournaments: A mathematician's guide to popular sports. Am. Math. Mon. 90(4), 246–266 (1983)

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  5. Mendonca, D., Raghavachari, M.: Comparing the efficacy of ranking methods for multiple round-robin tournaments. Eur. J. Oper. Res. 123, 593–605 (1999)

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  6. Rubinstein, A.: Ranking the participants in a tournament. SIAM J. Appl. Math. 38(1), 108–111 (1980)

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  7. Steinhaus, H.: Mathematical Snapshots. Oxford University Press, New York (1950)

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© 2008 Springer-Verlag

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Chen, X., Deng, X. (2008). Incentive Compatible Selection. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-30162-4_185

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