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A proposed voting scheme to reduce the sensitivity of the Markov method

Author

Listed:
  • Baback Vaziri
  • Yuehwern Yih
  • Tom Morin

Abstract

The Markov method is one of many successful ranking methods that uses Markov chains to obtain its ratings and rankings of alternatives. It has been shown, however, that the method is sensitive to upsets, particularly in the tail of its ranking. The method also exhibits faulty behaviour when it has a periodic Markov chain. This study proposes a modification to the voting scheme of the Markov method that will alleviate the sensitivity to upsets and remove the issue of periodicity in the Markov chain. To examine the sensitivity, we first provide an example and see how both voting schemes react to an upset. Next, we generalise both voting schemes and examine a ratio of rating increments to understand why the tailing effect occurs, and how we can subside its effect.

Suggested Citation

  • Baback Vaziri & Yuehwern Yih & Tom Morin, 2018. "A proposed voting scheme to reduce the sensitivity of the Markov method," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 32(1), pages 24-40.
    • Handle: RePEc:ids:ijores:v:32:y:2018:i:1:p:24-40
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    Cited by:

    1. Carmen Herrero & Antonio Villar, 2022. "Sports competitions and the Break-Even rule," Working Papers 22.13, Universidad Pablo de Olavide, Department of Economics.
    2. Carmen Herrero & Antonio Villar, 2022. "Pairwise contests: wins, losses, and strength," Working Papers 22.11, Universidad Pablo de Olavide, Department of Economics.

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