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Outcomes of bargaining and planning in single facility location problems

Tomohiko Kawamori and Kazuo Yamaguchi

Mathematical Social Sciences, 2010, vol. 59, issue 1, 38-45

Abstract: In this paper, we investigate a model where, on a tree network, players collectively choose the location of a single public facility by noncooperative alternating-offer bargaining with the unanimity rule. We show the existence of a stationary subgame perfect equilibrium and the characterization of stationary subgame perfect equilibria. We also show that the equilibrium location converges to the Rawls location (the Rawlsian social welfare maximizer) as the discount factor tends to 1; however, it does not relate to the Weber location (the Benthamite social welfare maximizer).

Keywords: Tree; network; Location; of; public; facility; Unanimity; rule; Bargaining; Rawls; location (search for similar items in EconPapers)
Date: 2010
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