Obvious manipulations in cake-cutting


Ortega, Josué ; Segal-Halevi, Erel


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URL: https://madoc.bib.uni-mannheim.de/53658
URN: urn:nbn:de:bsz:180-madoc-536587
Document Type: Working paper
Year of publication: 2019
The title of a journal, publication series: ZEW Discussion Papers
Volume: 19-056
Place of publication: Mannheim
Publication language: English
Institution: Sonstige Einrichtungen > ZEW - Leibniz-Zentrum für Europäische Wirtschaftsforschung
MADOC publication series: Veröffentlichungen des ZEW (Leibniz-Zentrum für Europäische Wirtschaftsforschung) > ZEW Discussion Papers
Subject: 330 Economics
Classification: JEL: D63 , D82,
Keywords (English): cake-cutting , not-obvious manipulability , prior-free mechanismdesign
Abstract: In cake-cutting, strategy-proofness is a very costly requirement in terms of fairness: for n = 2 it implies a dictatorial allocation, whereas for n ≥ 3 it requires that one agent receives no cake. We show that a weaker version of this property recently suggested by Troyan and Morril, called not-obvious manipulability, is compatible with the strong fairness property of proportionality, which guarantees that each agent receives 1/n of the cake. Both properties are satisfied by the leftmost leaves mechanism, an adaptation of the Dubins - Spanier moving knife procedure. Most other classical proportional mechanisms in literature are obviously manipulable, including the original moving knife mechanism. Not-obvious manipulability explains why leftmost leaves is manipulated less often in practice than other proportional mechanisms.

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Ortega, Josué ; Segal-Halevi, Erel (2019) Obvious manipulations in cake-cutting. Open Access ZEW Discussion Papers Mannheim 19-056 [Working paper]
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