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Nash Networks With Imperfect Reliability And Heterogeous Players

Author

Listed:
  • PASCAL BILLAND

    (GATE-LSE, Jean Monnet University, Saint-Etienne, France)

  • CHRISTOPHE BRAVARD

    (GATE-LSE, Jean Monnet University, Saint-Etienne, France)

  • SUDIPTA SARANGI

    (DIW Berlin and Louisiana State University, USA)

Abstract

This paper combines the imperfect reliability model of Bala and Goyal [2000b] with the heterogeneous player model of Galeottiet al.[2006]. We compare existence, characterization and efficiency results in the resulting framework with the results in other frameworks allowing for imperfect reliability or heterogeneity. Specifically, we compare our work with the framework of Haller and Sarangi [2005] which allows for heterogeneity in link reliability but assumes that players are homogeneous. We find, by contrast with their paper, that non existence of Nash networks is possible in our framework even if the population is very small. Moreover, although the incentives of players to maintain (or delete) links are different, in both frameworks there exist parameters such that every essential network is strict Nash and efficient.

Suggested Citation

  • Pascal Billand & Christophe Bravard & Sudipta Sarangi, 2011. "Nash Networks With Imperfect Reliability And Heterogeous Players," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 181-194.
  • Handle: RePEc:wsi:igtrxx:v:13:y:2011:i:02:n:s0219198911002939
    DOI: 10.1142/S0219198911002939
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    References listed on IDEAS

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    1. K. de Jaegher & J.J.A. Kamphorst, 2009. "Two-way Flow Networks with Small Decay," Working Papers 09-34, Utrecht School of Economics.
    2. repec:use:tkiwps:3434 is not listed on IDEAS
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    Cited by:

    1. Charoensook, Banchongsan, 2016. "Nodewise Decay in Two-way Flow Nash Network: a Study of Network Congestion," ETA: Economic Theory and Applications 249353, Fondazione Eni Enrico Mattei (FEEM).
    2. Banchongsan Charoensook, 2016. "Nodewise Decay in Two-way Flow Nash Network: a Study of Network Congestion," Working Papers 2016.65, Fondazione Eni Enrico Mattei.

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    More about this item

    Keywords

    Strategic reliability; two-way flow models; heterogeneous players; Subject Classification: C72; Subject Classification: D85;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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