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Collective decisions with interdependent valuations

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Abstract

Many collective decision problems have the common feature that individuals' desired outcomes are correlated but not identical. This paper studies collective decisions with private information about these desired policies. Each agent holds private information which mainly concerns his own bliss point, but this private information also affects all other agents' bliss points. We concentrate on two specific mechanisms, the mean and the median mechanism. We establish existence of two symmetric Bayesian Nash equilibria of the corresponding game and compare the performance of the mechanisms for different degrees of interdependencies. Applications of our framework include the assignment of voting rights in the council of the European Central Bank, the design of decision processes in teams, firms, and international organizations.

Suggested Citation

  • Hans Peter Grüner & Alexandra Kiel, 2001. "Collective decisions with interdependent valuations," GK working paper series 2001-02, Post Graduate Programme "Allocation on Financial Markets", University of Mannheim, revised Sep 2001.
  • Handle: RePEc:xrs:gkwopa:2001-02
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    File URL: http://www.vwl.uni-mannheim.de/gk/wp/gkwp-2001-02.pdf
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    References listed on IDEAS

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    1. Jehiel, Philippe & Moldovanu, Benny & Stacchetti, Ennio, 1996. "How (Not) to Sell Nuclear Weapons," American Economic Review, American Economic Association, vol. 86(4), pages 814-829, September.
    2. Daniel Gros & Carsten Hefeker, 2002. "One Size Must Fit All: National Divergences in a Monetary Union," German Economic Review, Verein für Socialpolitik, vol. 3(3), pages 247-262, August.
    3. Süppel, Ralph & von Hagen, Jürgen, 1994. "Central Bank Constitutions for Monetary Unions," CEPR Discussion Papers 919, C.E.P.R. Discussion Papers.
    4. Fieseler, Karsten & Kittsteiner, Thomas & Moldovanu, Benny, 2003. "Partnerships, lemons, and efficient trade," Journal of Economic Theory, Elsevier, pages 223-234.
    5. von Hagen, Jurgen & Suppel, Ralph, 1994. "Central bank constitutions for federal monetary unions," European Economic Review, Elsevier, vol. 38(3-4), pages 774-782, April.
    6. d'Aspremont, Claude & Gerard-Varet, Louis-Andre, 1979. "Incentives and incomplete information," Journal of Public Economics, Elsevier, vol. 11(1), pages 25-45, February.
    7. Piketty, Thomas, 1999. "The information-aggregation approach to political institutions," European Economic Review, Elsevier, vol. 43(4-6), pages 791-800, April.
    8. Avinash Dixit & Henrik Jensen, 2000. "Equilibrium Contracts for the Central Bank of a Monetary Union," CESifo Working Paper Series 400, CESifo Group Munich.
    9. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
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    Cited by:

    1. Christian Fahrholz & Philipp Mohl, 2004. "EMU-enlargement and the Reshaping of Decision-making within the ECB Governing Council: A Voting-Power Analysis," Eastward Enlargement of the Euro-zone Working Papers wp23, Free University Berlin, Jean Monnet Centre of Excellence, revised 01 Jun 2004.

    More about this item

    Keywords

    collective decisions; asymmetric information; interdependent valuations;

    JEL classification:

    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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