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A non-cooperative mechanism for the Shapley value of airport problems

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In this paper we address the question of how to allocate the total cost of building and maintaining an airport runway among its users based on a non-cooperative approach. We present a non-cooperative bargaining game with a unique Nash equilibrium outcome whose payoffs are the Shapley value of an airport problem. Furthermore, it is shown that all strategy profiles leading to a subgame perfect equilibrium in these games are also coalition-proof. Copyright Springer Science+Business Media New York 2015

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  • M. Albizuri & J. Echarri & J. Zarzuelo, 2015. "A non-cooperative mechanism for the Shapley value of airport problems," Annals of Operations Research, Springer, vol. 235(1), pages 1-11, December.
    • Handle: RePEc:spr:annopr:v:235:y:2015:i:1:p:1-11:10.1007/s10479-015-1981-7
    DOI: 10.1007/s10479-015-1981-7
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    3. M. J. Albizuri & J. M. Echarri & J. M. Zarzuelo, 2018. "A Non-cooperative Mechanism Yielding the Nucleolus of Airport Problems," Group Decision and Negotiation, Springer, vol. 27(1), pages 153-163, February.
    4. Thomson, William, 2024. "Cost allocation and airport problems," Mathematical Social Sciences, Elsevier, vol. 131(C), pages 17-31.
    5. Dan C. Popescu & Philip Kilby, 2020. "Approximation of the Shapley value for the Euclidean travelling salesman game," Annals of Operations Research, Springer, vol. 289(2), pages 341-362, June.
    6. Sudhölter, Peter & Zarzuelo, José M., 2017. "Characterizations of highway toll pricing methods," European Journal of Operational Research, Elsevier, vol. 260(1), pages 161-170.

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