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Farsightedly stable networks

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Listed:
  • Herings, P.J.J.

    (Microeconomics & Public Economics)

  • Mauleon, A.

    (Externe publicaties SBE)

  • Vannetelbosch, V.

    (Externe publicaties SBE)

Abstract

We propose a new concept, the pairwise farsightedly stable set, in order to predict which networks may be formed among farsighted players. A set of networks G is pairwise farsightedly stable (i) if all possible pairwise deviations from any network g E G to a network outside G are deterred by the threat of endind worse off or equally well off, (ii) if there exists a farsightedly improving path from any network outside the set leading to some network in the set, and (iii) if there is no proper subset of G satisfying (i) and (ii). We show that a non-empty pairwise farsightedly stable set always exists and we provide a full characterization of unique pairwise farsightedly stable sets of networks. Contrary to other pairwise concepts, pairwise farsightedly yields a Pareto dominating betwork, if it exists, as the unique outcome. Finally, we study the relationship between pairwise farsightedly stability and other concepts such as the largest consistent set.
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(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Herings, P.J.J. & Mauleon, A. & Vannetelbosch, V., 2006. "Farsightedly stable networks," Research Memorandum 041, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  • Handle: RePEc:unm:umamet:2006041
    DOI: 10.26481/umamet.2006041
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    JEL classification:

    • A14 - General Economics and Teaching - - General Economics - - - Sociology of Economics
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D20 - Microeconomics - - Production and Organizations - - - General

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