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The impact of intermediaries on a negotiation: an approach from game theory

Author

Listed:
  • Susana López

    (Faculty of Economics and Business Studies of Universidad Autónoma de Madrid)

  • Guillermo Owen

    (Naval Postgraduate School)

  • Martha Saboya

    (Faculty of Economics and Business Studies of Universidad Autónoma de Madrid)

Abstract

Standard approaches to model interaction networks are limited in their capacity to describe the nuances of real communication. We present a game theoretical framework to quantify the effect of intermediaries on the interaction between agents. Inspired by the seminal work Myerson (1977). on cooperative structures in cooperative games, we set the basis for multidimensional network analysis within game theory. More specifically, an extension of the point-arc game Feltkamp and van den Nouwe51 land (1992). is introduced, generalizing the analysis of cooperative games to multigraphs. An efficient algorithm is proposed for the computation of Shapley value of this game. We prove the validity of our approach by applying it to a intermediaries network model. We are able to recover meaningful results on the dependence of the game outcome on the intermediaries network. This work contributes to the optimal design of networks in economic environments and allows the ranking of players in complex networks.

Suggested Citation

  • Susana López & Guillermo Owen & Martha Saboya, 2022. "The impact of intermediaries on a negotiation: an approach from game theory," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 30(3), pages 837-859, September.
    • Handle: RePEc:spr:cejnor:v:30:y:2022:i:3:d:10.1007_s10100-021-00781-2
    DOI: 10.1007/s10100-021-00781-2
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    References listed on IDEAS

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    1. Borm, P.E.M. & van den Nouweland, C.G.A.M. & Tijs, S.H., 1991. "Cooperation and communication restrictions : A survey," Other publications TiSEM 7d1c34fd-9403-4917-8b1a-1, Tilburg University, School of Economics and Management.
    2. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
    3. Feltkamp, V. & van den Nouweland, C.G.A.M., 1992. "Controlled communication networks," Research Memorandum FEW 538, Tilburg University, School of Economics and Management.
    4. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    5. Gomez, Daniel & Gonzalez-Aranguena, Enrique & Manuel, Conrado & Owen, Guillermo & del Pozo, Monica & Tejada, Juan, 2003. "Centrality and power in social networks: a game theoretic approach," Mathematical Social Sciences, Elsevier, vol. 46(1), pages 27-54, August.
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