Bergantiños, Gustavo and Gómez-Rúa, María and Llorca, Natividad and Pulido, Manuel and Sánchez-Soriano, Joaquin
(2019):
*Allocating costs in set covering problems.*

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## Abstract

This paper deals with the problem of allocating costs in set covering situations. In particular, we focus on set covering situations where the optimal covering is given in advance. Thus, we take into account only the facilities that have to be opened and look for rules distributing their cost. We define a cooperative game and study the core and the nucleolus. We also introduce two new rules: the equal split rule on facilities and the serial rule. We axiomatically characterize the core, the nucleolus, and the two rules. Finally, we study several monotonicity properties of the rules.

Item Type: | MPRA Paper |
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Original Title: | Allocating costs in set covering problems |

English Title: | Allocating costs in set covering problems |

Language: | English |

Keywords: | set covering problems; cost sharing rules; cooperative games |

Subjects: | C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C71 - Cooperative Games |

Item ID: | 92659 |

Depositing User: | Gustavo Bergantiño |

Date Deposited: | 11 Mar 2019 11:17 |

Last Modified: | 11 Mar 2019 11:18 |

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URI: | https://mpra.ub.uni-muenchen.de/id/eprint/92659 |