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Bargaining in Global Communication Networks

Author

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  • Marco Pelliccia

    (Department of Economics, Mathematics & Statistics, Birkbeck)

Abstract

We study a Rubinstein-Stahl two-player non-cooperative bargaining game played by n players connected in a communication network. We allow the players to communicate with any peer in the same component via the existing paths connecting the peers in a given communication network (global interaction). The unique stationary subgame perfect equilibrium profile characterizes the playersÂ’ expected payoff as function of their betweenness centrality score. Secondly, we study a dynamic link-formation game which allows the players to activate new linkages or sever existing ones in order to increase their bargaining power for a given marginal cost per link. We identify the conditions under which the pairwise stable network structures which arise belong to the family of the nested split graphs. These are graphs where the neighbourhood of each node is contained in the neighbourhoods of nodes with higher degrees.

Suggested Citation

  • Marco Pelliccia, 2015. "Bargaining in Global Communication Networks," Birkbeck Working Papers in Economics and Finance 1507, Birkbeck, Department of Economics, Mathematics & Statistics.
    • Handle: RePEc:bbk:bbkefp:1507
    as

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    File URL: https://eprints.bbk.ac.uk/id/eprint/15272
    File Function: First version, 2015
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    References listed on IDEAS

    as
    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
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    3. Soramäki, Kimmo & Bech, Morten L. & Arnold, Jeffrey & Glass, Robert J. & Beyeler, Walter E., 2007. "The topology of interbank payment flows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 317-333.
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    6. 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.
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    More about this item

    Keywords

    Communication; Network; Noncooperative bargaining; Network formation.;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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