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Risk-sharing and probabilistic network structure

Author

Listed:
  • Marco Pelliccia

    (Department of Economics, Mathematics & Statistics, Birkbeck)

Abstract
This paper studies the impact of a probabilistic risk-sharing network structure on the optimal portfolio composition. We show that, even assuming identical agents, we are able to differentiate their optimal risk-choice once we assume the link-structure defining their relationship probabilistic. In particular, the final agent's portfolio composition is function of his location in the network. If we assume positive asset-correlation coefficients, the relative location of a player in the graph influences his risk-behaviour as much as those of his direct and indirect partners in a not-straightforward way. We analyse also two potential "centrality measures" able to select the key-player in the risk-sharing network. The findings may help to select the "central" agent in a risk-sharing community and to forecast the risk-exposure of the players. Finally, this paper may explain natural differences between identical rational agents' choices emerging in a probabilistic network setup.

Suggested Citation

  • Marco Pelliccia, 2012. "Risk-sharing and probabilistic network structure," Birkbeck Working Papers in Economics and Finance 1214, Birkbeck, Department of Economics, Mathematics & Statistics.
    • Handle: RePEc:bbk:bbkefp:1214
    as

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    File URL: https://eprints.bbk.ac.uk/id/eprint/5945
    File Function: First version, 2012
    Download Restriction: no
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    References listed on IDEAS

    as
    1. De Weerdt, Joachim & Dercon, Stefan, 2006. "Risk-sharing networks and insurance against illness," Journal of Development Economics, Elsevier, vol. 81(2), pages 337-356, December.
    2. Gert Sabidussi, 1966. "The centrality index of a graph," Psychometrika, Springer;The Psychometric Society, vol. 31(4), pages 581-603, December.
    3. Bloch, Francis & Genicot, Garance & Ray, Debraj, 2008. "Informal insurance in social networks," Journal of Economic Theory, Elsevier, vol. 143(1), pages 36-58, November.
    4. Attila Ambrus & Markus Mobius & Adam Szeidl, 2014. "Consumption Risk-Sharing in Social Networks," American Economic Review, American Economic Association, vol. 104(1), pages 149-182, January.
    5. 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.
    6. Bramoullé, Yann & Kranton, Rachel, 2007. "Risk-sharing networks," Journal of Economic Behavior & Organization, Elsevier, vol. 64(3-4), pages 275-294.
    7. Yann Bramoull? & Rachel Kranton & Martin D'Amours, 2014. "Strategic Interaction and Networks," American Economic Review, American Economic Association, vol. 104(3), pages 898-930, March.
    8. Battiston, Stefano & Delli Gatti, Domenico & Gallegati, Mauro & Greenwald, Bruce & Stiglitz, Joseph E., 2012. "Liaisons dangereuses: Increasing connectivity, risk sharing, and systemic risk," Journal of Economic Dynamics and Control, Elsevier, vol. 36(8), pages 1121-1141.
    9. Fafchamps, Marcel & Gubert, Flore, 2007. "The formation of risk sharing networks," Journal of Development Economics, Elsevier, vol. 83(2), pages 326-350, July.
    10. Fafchamps, Marcel & Lund, Susan, 2003. "Risk-sharing networks in rural Philippines," Journal of Development Economics, Elsevier, vol. 71(2), pages 261-287, August.
    11. De Weerdt, Joachim & Dercon, Stefan, 2006. "Risk-sharing networks and insurance against illness," Journal of Development Economics, Elsevier, vol. 81(2), pages 337-356, December.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Gao Wayne Yuan & Moon Eunyoung, 2016. "Informal Insurance Networks," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 16(2), pages 455-484, June.

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    More about this item

    Keywords

    informal insurance; risk-sharing; network;
    All these keywords.

    JEL classification:

    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • O17 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Formal and Informal Sectors; Shadow Economy; Institutional Arrangements

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