Ordinally Bayesian incentive-compatible voting schemes
AbstractWe study strategic voting after weakening the notion of strategy-proofness to Ordinal Bayesian Incentive Compatibility (OBIC). Under OBIC, truthelling is required to maximize the expected utility being computed with respect to the voter's prior beliefs and under the assumption that everybody else is also telling the truth. We show that for a special type of priors i.e., the uniform priors there exists a large class of social choice functions that are OBIC. However, for priors which are generic in the set of independent beliefs a social choice function is OBIC only if it is dictatorial. This result underlines the robustness of the Gibbard-Satterthwaite Theorem.
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Bibliographic InfoPaper provided by Indian Statistical Institute, New Delhi, India in its series Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers with number 03-01.
Length: 32 pages
Date of creation: Feb 2003
Date of revision:
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