PJO: An optimal utility value method with majority equilibrium for public facility allocation



			Volume 3, Number 2, May 2007, pp. 227-234
			Lihua Chen
Key words:
	public facility allocation problems, optimal utility value method, majority equilibrium
		Mathematices Subject Classification: 49L20, 91A10, 91A25, 91A65
		References


	Abstract:
	We consider the public facility allocation problem decided through an optimal utility value under the majority rule in public facility management. A location of the public facility is a majority rule winner with optimal utility value if no other location in the network is with better utility value than the winner. We define a weight function and establish the network model for the cases with one or more than one public facilities to be located. We show that there exists a modified weak quasi-Condorcet winner if the public facility allocation graph model is a tree. Based on above discussion we proposed a practical majority equilibrium method for more general public facility allocation problems.

An optimal utility value method with majority equilibrium for public facility allocation