Majority equilibrium for public facility allocation

Authors:
Lihua Chen;Xiaotie Deng;Qizhi Fang;Feng Tian
Affiliations:
Guanghua School of Management, Peking University;Department of Computer science, City University of Hong Kong;Department of Mathematics, Ocean University of China;Institute of Systems Science, Chinese Academy of Sciences
Venue:
COCOON'03 Proceedings of the 9th annual international conference on Computing and combinatorics
Year:
2003

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Abstract

In this work, we consider the public facility allocation problem decided through a voting process uner the majority rule. A locations of the public facility is a majority rule winner if there is no other location in the network where more than half of the voters would have be closer to than the majority rule winner. We develop fast algorithms for interesting cases with nice combinatorial structures. We show that the general problem, where the number of public facilities is more than one and is consider part of the input size, is NP-hard. Finally, we discuss majority rule decision making for related models.