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Matching structure and bargaining outcomes in buyer–seller networks

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  • Arnold Polanski

    (University of East Anglia)

Abstract

We examine the relationship between the matching structure of a bipartite (buyer–seller) network and the (expected) shares of the unit surplus that each connected pair in this network can create. We show that in different bargaining environments, these shares are closely related to the Gallai–Edmonds Structure Theorem. This theorem characterizes the structure of maximum matchings in an undirected graph. We show that the relationship between the (expected) shares and the Structure Theorem is not an artefact of a particular bargaining mechanism or trade centralization. However, this relationship does not necessarily generalize to non-bipartite networks or to networks with heterogeneous link values.

Suggested Citation

  • Arnold Polanski, 2016. "Matching structure and bargaining outcomes in buyer–seller networks," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(4), pages 767-776, April.
    • Handle: RePEc:spr:sochwe:v:46:y:2016:i:4:d:10.1007_s00355-015-0935-y
    DOI: 10.1007/s00355-015-0935-y
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    1. Rochford, Sharon C., 1984. "Symmetrically pairwise-bargained allocations in an assignment market," Journal of Economic Theory, Elsevier, vol. 34(2), pages 262-281, December.
    2. Rubinstein, Ariel & Wolinsky, Asher, 1985. "Equilibrium in a Market with Sequential Bargaining," Econometrica, Econometric Society, vol. 53(5), pages 1133-1150, September.
    3. Arnold Polanski & Fernando Vega-Redondo, 2013. "Markets, Bargaining, and Networks with Heterogeneous Agents," University of East Anglia Applied and Financial Economics Working Paper Series 038, School of Economics, University of East Anglia, Norwich, UK..
    4. Deborah F. Minehart & Rachel E. Kranton, 2000. "original papers : Competition for goods in buyer-seller networks," Review of Economic Design, Springer;Society for Economic Design, vol. 5(3), pages 301-331.
    5. Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-872, August.
    6. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Theo S. H. Driessen, 1998. "A note on the inclusion of the kernel in the core of the bilateral assignment game," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(2), pages 301-303.
    8. Polanski, Arnold, 2007. "Bilateral bargaining in networks," Journal of Economic Theory, Elsevier, vol. 134(1), pages 557-565, May.
    9. TamÂs Solymosi, 1999. "On the bargaining set, kernel and core of superadditive games," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(2), pages 229-240.
    10. Borm, P.E.M. & Owen, G. & Tijs, S.H., 1992. "On the position value for communication situations," Other publications TiSEM 5a8473e4-1df7-42df-ad53-f, Tilburg University, School of Economics and Management.
    11. Corominas-Bosch, Margarida, 2004. "Bargaining in a network of buyers and sellers," Journal of Economic Theory, Elsevier, vol. 115(1), pages 35-77, March.
    12. Mihai Manea, 2011. "Bargaining in Stationary Networks," American Economic Review, American Economic Association, vol. 101(5), pages 2042-2080, August.
    13. Rachel E. Kranton & Deborah F. Minehart, 2001. "A Theory of Buyer-Seller Networks," American Economic Review, American Economic Association, vol. 91(3), pages 485-508, June.
    14. T. E. S. Raghavan & Tamás Solymosi, 2001. "Assignment games with stable core," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(2), pages 177-185.
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    Cited by:

    1. Bloch, Francis & Dutta, Bhaskar & Manea, Mihai, 2019. "Efficient partnership formation in networks," Theoretical Economics, Econometric Society, vol. 14(3), July.
    2. Francis Bloch & Bhaskar Dutta & Mihai Manea, 2019. "Efficient Partnership Formation In Networks," Working Papers 1014, Ashoka University, Department of Economics.

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