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The Texas Shoot-Out under Knightian Uncertainty

Author

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  • Bauch, Gerrit

    (Center for Mathematical Economics, Bielefeld University)

  • Riedel, Frank

    (Center for Mathematical Economics, Bielefeld University)

Abstract

The allocation of a co-owned company to a single owner using the Texas Shoot-Out mechanism with private valuations is investigated. We identify Knightian Uncertainty about the peer’s distribution as the reason for its deterrent effect of an immature dissolving. Modeling uncertainty by a compact environment around a reference distribution *F* in the Prohorov metric, we derive the optimal price announcement for an ambiguity averse divider. The divider hedges against uncertainty for valuations close to the median of *F*, while extracting expected surplus for high and low valuations. The outcome of the mechanism is efficient for valuations around the median. A risk neutral co-owner prefers to be the chooser, even strictly so for any valuation under low levels of uncertainty and for extreme valuations under high levels of uncertainty.

Suggested Citation

  • Bauch, Gerrit & Riedel, Frank, 2022. "The Texas Shoot-Out under Knightian Uncertainty," Center for Mathematical Economics Working Papers 664, Center for Mathematical Economics, Bielefeld University.
  • Handle: RePEc:bie:wpaper:664
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    File URL: https://pub.uni-bielefeld.de/download/2962409/2962412
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    References listed on IDEAS

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    More about this item

    Keywords

    Knightian Uncertainty in Games; Texas Shout-Out; Partnership Dissolution;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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