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Negotiation and Equilibria in User Competition for Resources: A Dynamic Plot Approach

Author

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  • Giampiero E.G. Beroggi

    (Delft University of Technology)

  • Pitu B. Mirchandani

    (The University of Arizona)

Abstract

We consider a scenario where two users are competing for substitutable facilities and where the costs to a user for using a facility depend on its usage as well as the usage by the other user. This results in a nonlinear dynamic game the “solution” of which implies an allocation that satisfies both users. Games with four different types of solution spaces are presented where the equilibria and the process to reach a negotiated compromise solution have different characterizations. Nash equilibria and nondominated points are discussed in this context and an interactive graphical dynamic plot approach is presented for obtaining negotiated solutions in such nonlinear dynamic games.

Suggested Citation

  • Giampiero E.G. Beroggi & Pitu B. Mirchandani, 2000. "Negotiation and Equilibria in User Competition for Resources: A Dynamic Plot Approach," Computational and Mathematical Organization Theory, Springer, vol. 6(1), pages 61-82, May.
    • Handle: RePEc:spr:comaot:v:6:y:2000:i:1:d:10.1023_a:1009625309880
    DOI: 10.1023/A:1009625309880
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    References listed on IDEAS

    as
    1. Giampiero E.G. Beroggi, 2000. "Dynamic Plots in Virtual Negotiations," Computational and Mathematical Organization Theory, Springer, vol. 6(2), pages 171-190, July.
    2. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, April.
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    Cited by:

    1. Giampiero E.G. Beroggi, 2000. "Dynamic Plots in Virtual Negotiations," Computational and Mathematical Organization Theory, Springer, vol. 6(2), pages 171-190, July.
    2. Giampiero E.G. Beroggi, 2000. "An Experimental Investigation of Virtual Negotiations with Dynamic Plots," Group Decision and Negotiation, Springer, vol. 9(5), pages 415-429, September.

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