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Voting Rules in Bargaining with Costly Persistent Recognition

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  • Nicolas Quérou
  • Raphael Soubeyran

Abstract

In this paper, we consider a model of multilateral bargaining where homogeneous agents may exert e¤ort before negotiations in order to inuence their chances to become the proposer. E¤ort levels have a permanent effect on the recognition process (persistent recognition). We prove two main results. First, all voting rules are equivalent (that is, they yield the same social cost) when recognition becomes persistent. Secondly, an equilibrium may fail to exist, because players may have more incentives to reduce their e¤ort level (in order to be included in winning coalitions) than to increase it (in order to increase their proposal power). Both results di¤er greatly from the case where recognition is transitory: Yildirim (2007) shows that una- nimity is the unique strictly optimal rule, and that an equilibrium always exists (under mild assumptions) in such a setting. Moreover, our second conclusion is quite di¤erent from the one obtained in most of the existing literature on bargaining (which assumes an exogenous recognition process), where it is generally considered that it is always in an agents best interest to have a proposal power as high as possible.

Suggested Citation

  • Nicolas Quérou & Raphael Soubeyran, 2011. "Voting Rules in Bargaining with Costly Persistent Recognition," Working Papers 11-04, LAMETA, Universtiy of Montpellier, revised Jun 2012.
    • Handle: RePEc:lam:wpaper:11-04
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    File URL: http://www.lameta.univ-montp1.fr/Documents/DR2011-04.pdf
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    1. Nicolas Quérou & Raphael Soubeyran, 2010. "On the (In-)Efficiency of Unanimity in Multilateral Bargaining with Endogenous Recognition," Working Papers 10-14, LAMETA, Universtiy of Montpellier, revised Oct 2010.
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    Cited by:

    1. Andrzej Baranski & Ernesto Reuben, 2023. "Competing for Proposal Rights: Theory and Experimental Evidence," Working Papers 20220085, New York University Abu Dhabi, Department of Social Science, revised Mar 2023.
    2. Nicolas Quérou & Raphael Soubeyran, 2010. "On the (In-)Efficiency of Unanimity in Multilateral Bargaining with Endogenous Recognition," Working Papers 10-14, LAMETA, Universtiy of Montpellier, revised Oct 2010.
    3. Haruo Imai & Hannu Salonen (corresponding author), 2012. "Bargaining and Rent Seeking," Discussion Papers 80, Aboa Centre for Economics.

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