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A Model Of Tacit Collusion: Nash-2 Equilibrium Concept

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  • Marina S. Sandomirskaia

    (National Research University Higher School of Economics)

Abstract

We examine the novel concept for repeated noncooperative games with bounded rationality: \Nash-2" equilibrium, called also \threatening-proof pro le" in [16, Iskakov M., Iskakov A., 2012b]. It is weaker than Nash equilibrium and equilibrium in secure strategies: a player takes into account not only current strategies but also the next-stage responses of the partners to her deviation from the current situation that reduces her relevant choice set. We provide a condition for Nash-2 existence, criteria for a strategy pro le to be the Nash-2 equilibrium in strictly competitive games, apply this concept to Bertrand and Hotelling game and interpret the results as tacit collusion

Suggested Citation

  • Marina S. Sandomirskaia, 2014. "A Model Of Tacit Collusion: Nash-2 Equilibrium Concept," HSE Working papers WP BRP 70/EC/2014, National Research University Higher School of Economics.
  • Handle: RePEc:hig:wpaper:70/ec/2014
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    Cited by:

    1. Marina S. Sandomirskaia, 2015. "Price-Quantity Competition of Farsighted Firms: Toughness vs. Collusion," HSE Working papers WP BRP 93/EC/2015, National Research University Higher School of Economics.
    2. Iskakov, M., 2022. "Existence theorems for Nash equilibrium and equilibrium in secure strategies," Journal of the New Economic Association, New Economic Association, vol. 56(4), pages 12-27.
    3. Marina Sandomirskaia, 2019. "Nash-2 Equilibrium: Selective Farsightedness Under Uncertain Response," Group Decision and Negotiation, Springer, vol. 28(2), pages 275-304, April.

    More about this item

    Keywords

    Nash-2 equilibrium; secure deviation; Bertrand paradox; Hotelling model; tacit collusion.;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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