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Bi and Branching Strict Nash Networks in Two-way Flow Models: a Generalized Sufficient Condition

Author

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  • Banchongsan Charoensook

    (Keimyung Adams College, Keimyung University, Department of International Business)

Abstract

Bi and branching networks are two classes of minimal networks often found in the literatures of two-way flow Strict Nash networks. Why so? In this paper, we answer this question by establishing a generalized condition that holds together many models in the literature, and then show that this condition is sufficient to guarantee their common result: every non-empty component of minimal SNN is either a branching or Bi network. This paper, therefore, contributes to the literature by providing a generalization of several existing works in the literature of two-way flow Strict Nash networks.

Suggested Citation

  • Banchongsan Charoensook, 2018. "Bi and Branching Strict Nash Networks in Two-way Flow Models: a Generalized Sufficient Condition," Working Papers 2018.12, Fondazione Eni Enrico Mattei.
    • Handle: RePEc:fem:femwpa:2018.12
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    Keywords

    Network Formation; Strict Nash Network; Two-way Flow Network; Branching Network;
    All these keywords.

    JEL classification:

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

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