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Weak implementation

Kym Pram

Economic Theory, 2020, vol. 69, issue 3, No 2, 569-594

Abstract: Abstract I define Weak Implementation under incomplete information. A social choice set is weakly implementable if the set of equilibrium outcomes of some mechanism is a non-empty subset of the social choice set. Weak implementation is a more natural objective than either full or partial implementation in many cases. I show that there are social choice sets where every subset can be weakly implemented, yet the set cannot be fully implemented. I give a complete characterization of the weakly implementable social choice sets under a weak restriction on preferences. As a corollary, I show that in independent private values environments the set of interim efficient social choice functions is weakly implementable whenever it is partially implementable.

Keywords: Implementation theory; Mechanism design; Game theory; Full implementation (search for similar items in EconPapers)
JEL-codes: C72 D71 D80 D82 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s00199-019-01178-8

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