Skip to main content
Erschienen in: Social Choice and Welfare 1-2/2023

28.08.2020 | Original Paper

Ordinal allocation

verfasst von: Christopher P. Chambers, Michael Richter

Erschienen in: Social Choice and Welfare | Ausgabe 1-2/2023

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

A generalization of the well-known Vickrey auctions are lottery qualification auctions–where the m highest bidders win the good with uniform probability, and pay the \(m+1\)st highest bid upon winning. A random lottery qualification mechanism decides the integer m randomly. We characterize the class of mechanisms which are payoff equivalent to the random lottery qualification auctions. The key property characterizing this class of mechanisms is one which states that only the ordinal comparison of willingness-to-pay across individuals is relevant in determining the allocation. The mechanisms can be seen as compromising between ex-post utility efficiency and monetary efficiency.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Fußnoten
1
This mechanism is usually understood as a hybrid of a “rationing” mechanism and an auction; see, e.g., Parlour et al. (2007).
 
Literatur
Zurück zum Zitat Aigner M (2012) Combinatorial theory. Springer Science & Business Media, Berlin Aigner M (2012) Combinatorial theory. Springer Science & Business Media, Berlin
Zurück zum Zitat Ashlagi I, Serizawa S (2012) Characterizing Vickrey allocation rule by anonymity. Soc Choice Welf 38(3):531–542CrossRef Ashlagi I, Serizawa S (2012) Characterizing Vickrey allocation rule by anonymity. Soc Choice Welf 38(3):531–542CrossRef
Zurück zum Zitat Atlamaz M, Yengin D (2008) Fair groves mechanisms. Soc Choice Welf 31(4):573–587CrossRef Atlamaz M, Yengin D (2008) Fair groves mechanisms. Soc Choice Welf 31(4):573–587CrossRef
Zurück zum Zitat Bogomolnaia A, Moulin H (2001) A new solution to the random assignment problem. J Econ Theory 100(2):295–328CrossRef Bogomolnaia A, Moulin H (2001) A new solution to the random assignment problem. J Econ Theory 100(2):295–328CrossRef
Zurück zum Zitat Bordley R, Harstad R (1996) Lottery qualification auctions. Adv Appl Microeconomics 6:157–183 Bordley R, Harstad R (1996) Lottery qualification auctions. Adv Appl Microeconomics 6:157–183
Zurück zum Zitat Carbajal JC, McLennan A, Tourky R (2013) Truthful implementation and preference aggregation in restricted domains. J Econ Theory 148(3):1074–1101CrossRef Carbajal JC, McLennan A, Tourky R (2013) Truthful implementation and preference aggregation in restricted domains. J Econ Theory 148(3):1074–1101CrossRef
Zurück zum Zitat Chew SH, Serizawa S (2007) Characterizing the Vickrey combinatorial auction by induction. Econ Theory 33(2):393–406CrossRef Chew SH, Serizawa S (2007) Characterizing the Vickrey combinatorial auction by induction. Econ Theory 33(2):393–406CrossRef
Zurück zum Zitat Clarke EH (1971) Multipart pricing of public goods. Public Choice 11(1):17–33CrossRef Clarke EH (1971) Multipart pricing of public goods. Public Choice 11(1):17–33CrossRef
Zurück zum Zitat Green J, Laffont J-J (1977) Characterization of satisfactory mechanisms for the revelation of preferences for public goods. Econometrica 45(2):427–438CrossRef Green J, Laffont J-J (1977) Characterization of satisfactory mechanisms for the revelation of preferences for public goods. Econometrica 45(2):427–438CrossRef
Zurück zum Zitat Holmström B (1979) Groves’ scheme on restricted domains. Econometrica 47(5):1137–1144CrossRef Holmström B (1979) Groves’ scheme on restricted domains. Econometrica 47(5):1137–1144CrossRef
Zurück zum Zitat Laffont J-J, Maskin E (1980) A differential approach to dominant strategy mechanisms. Econometrica 48:1507–1520CrossRef Laffont J-J, Maskin E (1980) A differential approach to dominant strategy mechanisms. Econometrica 48:1507–1520CrossRef
Zurück zum Zitat Parlour CA, Prasnikar V, Rajan U (2007) Compensating for the winner’s curse: experimental evidence. Games Econ Behavior 60(2):339–356CrossRef Parlour CA, Prasnikar V, Rajan U (2007) Compensating for the winner’s curse: experimental evidence. Games Econ Behavior 60(2):339–356CrossRef
Zurück zum Zitat Roberts K (1979) The characterization of implementable choice rules. In: Laffont J-J (ed) Aggregation and revelation of preferences. Elsevier, Amsterdam, pp 321–348 Roberts K (1979) The characterization of implementable choice rules. In: Laffont J-J (ed) Aggregation and revelation of preferences. Elsevier, Amsterdam, pp 321–348
Zurück zum Zitat Rockafellar RT (1970) Convex analysis. Princeton University Press, PrincetonCrossRef Rockafellar RT (1970) Convex analysis. Princeton University Press, PrincetonCrossRef
Zurück zum Zitat Roth AE, Sönmez T, Ünver MU (2004) Kidney exchange. Q J Econ 119(2):457–488CrossRef Roth AE, Sönmez T, Ünver MU (2004) Kidney exchange. Q J Econ 119(2):457–488CrossRef
Zurück zum Zitat Vickrey W (1961) Counterspeculation, auctions, and competitive sealed tenders. J Finance 16(1):8–37CrossRef Vickrey W (1961) Counterspeculation, auctions, and competitive sealed tenders. J Finance 16(1):8–37CrossRef
Zurück zum Zitat Vohra RV (2011) Mechanism design: a linear programming approach, vol 47. Cambridge University Press, CambridgeCrossRef Vohra RV (2011) Mechanism design: a linear programming approach, vol 47. Cambridge University Press, CambridgeCrossRef
Zurück zum Zitat Yengin D (2012) Egalitarian-equivalent Groves mechanisms in the allocation of heterogenous objects. Soc Choice Welf 38(1):137–160CrossRef Yengin D (2012) Egalitarian-equivalent Groves mechanisms in the allocation of heterogenous objects. Soc Choice Welf 38(1):137–160CrossRef
Metadaten
Titel
Ordinal allocation
verfasst von
Christopher P. Chambers
Michael Richter
Publikationsdatum
28.08.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Social Choice and Welfare / Ausgabe 1-2/2023
Print ISSN: 0176-1714
Elektronische ISSN: 1432-217X
DOI
https://doi.org/10.1007/s00355-020-01280-0

Weitere Artikel der Ausgabe 1-2/2023

Social Choice and Welfare 1-2/2023 Zur Ausgabe

Premium Partner