English

The Ranking Problem of Alternatives as a Cooperative Game

Computer Science and Game Theory 2022-09-09 v1

Abstract

This paper considers the ranking problem of candidates for a certain position based on ballot papers filled by voters. We suggest a ranking procedure of alternatives using cooperative game theory methods. For this, it is necessary to construct a characteristic function via the filled ballot paper profile of voters. The Shapley value serves as the ranking method. The winner is the candidate having the maximum Shapley value. And finally, we explore the properties of the designed ranking procedure.

Keywords

Cite

@article{arxiv.1511.04437,
  title  = {The Ranking Problem of Alternatives as a Cooperative Game},
  author = {Aleksei Kondratev and Vladimir Mazalov},
  journal= {arXiv preprint arXiv:1511.04437},
  year   = {2022}
}