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A Two-Person Conflict Model in Train Scheduling

Keivan Ghoseiri, Ferenc Szidarovszky () and Mohammad Jawad Asgharpour
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Keivan Ghoseiri: Department of Systems and Industrial Engineering, University of Arizona, Tucson, Arizona, 85721-0020, U.S.A.;
Ferenc Szidarovszky: Department of Systems and Industrial Engineering, University of Arizona, Tucson, Arizona, 85721-0020, U.S.A.
Mohammad Jawad Asgharpour: Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran

International Game Theory Review (IGTR), 2003, vol. 05, issue 02, 105-125

Abstract: This paper presents a two-person bargaining model in which railway company and its passenger community are the players in the train-scheduling problem. The fuel consumption cost and the total passenger-time constitute the payoff functions. First, the Pareto frontier is determined using the ∊-constraint method and then conflict resolution is performed using five particular resolution methodologies, namely the non-symmetric Nash solution, the non-symmetric Kalai-Smorodinsky solution, the non-symmetric area monotonic solution, the non-symmetric equal loss solution, and a one-shot solution concept. A numerical example is presented to illustrate the methodology.

Keywords: Conflict resolution; bargaining; train scheduling; Pareto frontier; non-symmetric Nash solution; Kalai-Smorodinsky solution; area monotonic solution; equal loss solution; one-shot solution concept (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S0219198903000921

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