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Strategic Requirements with Indifference: Single-Peaked versus Single-Plateaued Preferences

  • Dolors Berga
  • Bernardo Moreno

We concentrate on the problem of the provision of one pure public good whenever agents that form the society have either single-plateaued preferences or single-peaked preferences over the set of alternatives. We are interested in comparing the relationships between different nonmanipulability notions under these two domains. On the single-peaked domain, under strategy-proofness, non-bossyness is equivalent to convex range. Thus, minmax rules are the only strategy-proof non-bossy rules. On the single-plateaued domain, only constant rules are non-bossy or Maskin monotonic; but strategy-proofness and weak non-bossy are equivalent to strict Maskin monotonicity. Moreover, strategy-proofness and plateau-invariant guarantee convexity of the range.

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Paper provided by Barcelona Graduate School of Economics in its series Working Papers with number 325.

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Date of creation: Dec 2007
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Handle: RePEc:bge:wpaper:325
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