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Spatial bargaining in rectilinear facility location problem

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  • Kazuo Yamaguchi

    (Rissho University)

Abstract

We consider a spatial bargaining model where players collectively choose a facility location on a two-dimensional rectilinear distance space through bargaining using the unanimity rule. We show that as players become infinitely patient, their stationary subgame perfect equilibrium utilities converge to the utilities that satisfy the lexicographic maximin utility criterion introduced by Sen (Collective choice and social welfare, 1970).

Suggested Citation

  • Kazuo Yamaguchi, 2022. "Spatial bargaining in rectilinear facility location problem," Theory and Decision, Springer, vol. 93(1), pages 69-104, July.
  • Handle: RePEc:kap:theord:v:93:y:2022:i:1:d:10.1007_s11238-021-09838-9
    DOI: 10.1007/s11238-021-09838-9
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    References listed on IDEAS

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    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2010. "One-dimensional bargaining with Markov recognition probabilities," Journal of Economic Theory, Elsevier, vol. 145(1), pages 189-215, January.
    3. Hansen, Pierre & Thisse, Jacques-Francois, 1981. "Outcomes of voting and planning : Condorcet, Weber and Rawls locations," Journal of Public Economics, Elsevier, vol. 16(1), pages 1-15, August.
    4. Baron, David P. & Ferejohn, John A., 1989. "Bargaining in Legislatures," American Political Science Review, Cambridge University Press, vol. 83(4), pages 1181-1206, December.
    5. Baron, David P., 1991. "A Spatial Bargaining Theory of Government Formation in Parliamentary Systems," American Political Science Review, Cambridge University Press, vol. 85(1), pages 137-164, March.
    6. Predtetchinski, Arkadi, 2011. "One-dimensional bargaining," Games and Economic Behavior, Elsevier, vol. 72(2), pages 526-543, June.
    7. Cho, Seok-ju & Duggan, John, 2009. "Bargaining foundations of the median voter theorem," Journal of Economic Theory, Elsevier, vol. 144(2), pages 851-868, March.
    8. Asheim, Geir B., 1992. "A unique solution to n-person sequential bargaining," Games and Economic Behavior, Elsevier, vol. 4(2), pages 169-181, April.
    9. Kawamori, Tomohiko & Yamaguchi, Kazuo, 2010. "Outcomes of bargaining and planning in single facility location problems," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 38-45, January.
    10. Hülya Eraslan & Kirill S. Evdokimov, 2019. "Legislative and Multilateral Bargaining," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 443-472, August.
    11. Cardona, Daniel & Ponsati, Clara, 2007. "Bargaining one-dimensional social choices," Journal of Economic Theory, Elsevier, vol. 137(1), pages 627-651, November.
    12. Cho, Seok-ju & Duggan, John, 2003. "Uniqueness of stationary equilibria in a one-dimensional model of bargaining," Journal of Economic Theory, Elsevier, vol. 113(1), pages 118-130, November.
    13. Jack Elzinga & Donald W. Hearn, 1972. "Geometrical Solutions for Some Minimax Location Problems," Transportation Science, INFORMS, vol. 6(4), pages 379-394, November.
    14. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    15. Zapal, Jan, 2016. "Markovian equilibria in dynamic spatial legislative bargaining: Existence with three players," Games and Economic Behavior, Elsevier, vol. 98(C), pages 235-242.
    16. Zapal, Jan, 2020. "Simple Markovian equilibria in dynamic spatial legislative bargaining," European Journal of Political Economy, Elsevier, vol. 63(C).
    17. Tasos Kalandrakis, 2016. "Pareto efficiency in the dynamic one-dimensional bargaining model," Journal of Theoretical Politics, , vol. 28(4), pages 525-536, October.
    18. Eraslan, Hulya & Evdokimov, Kirill S., 2019. "Legislative and Multilateral Bargaining," Working Papers 19-007, Rice University, Department of Economics.
    19. Schummer, James & Vohra, Rakesh V., 2002. "Strategy-proof Location on a Network," Journal of Economic Theory, Elsevier, vol. 104(2), pages 405-428, June.
    20. Cardona, Daniel & Ponsati, Clara, 2011. "Uniqueness of stationary equilibria in bargaining one-dimensional policies under (super) majority rules," Games and Economic Behavior, Elsevier, vol. 73(1), pages 65-75, September.
    21. John Sutton, 1986. "Non-Cooperative Bargaining Theory: An Introduction," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(5), pages 709-724.
    22. Banks, Jeffrey s. & Duggan, John, 2000. "A Bargaining Model of Collective Choice," American Political Science Review, Cambridge University Press, vol. 94(1), pages 73-88, March.
    23. Daniel Cardona & Arnold Polanski, 2013. "Voting rules and efficiency in one-dimensional bargaining games with endogenous protocol," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(2), pages 217-240, July.
    24. Baron, David P., 1996. "A Dynamic Theory of Collective Goods Programs," American Political Science Review, Cambridge University Press, vol. 90(2), pages 316-330, June.
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