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Implementation of solutions to the problem of fair division when preferences are single-peaked

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  • William Thomson

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File URL: http://hdl.handle.net/10.1007/s10058-009-0092-9
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Bibliographic Info

Article provided by Springer in its journal Review of Economic Design.

Volume (Year): 14 (2010)
Issue (Month): 1 (March)
Pages: 1-15

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Handle: RePEc:spr:reecde:v:14:y:2010:i:1:p:1-15

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Related research

Keywords: Single-peaked preferences; Uniform rule; Nash implementability; Maskin monotonicity; No veto power; Strong monotonicity; C72; D63; D71; D7;

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References

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  1. Hurwicz, Leonid, 1979. "On allocations attainable through Nash equilibria," Journal of Economic Theory, Elsevier, vol. 21(1), pages 140-165, August.
  2. Masso, Jordi & Neme, Alejandro, 2001. "Maximal Domain of Preferences in the Division Problem," Games and Economic Behavior, Elsevier, vol. 37(2), pages 367-387, November.
  3. Ching, Stephen & Serizawa, Shigehiro, 1998. "A Maximal Domain for the Existence of Strategy-Proof Rules," Journal of Economic Theory, Elsevier, vol. 78(1), pages 157-166, January.
  4. Ching, Stephen, 1992. "A simple characterization of the uniform rule," Economics Letters, Elsevier, vol. 40(1), pages 57-60, September.
  5. Eric Maskin, 1998. "Nash Equilibrium and Welfare Optimality," Harvard Institute of Economic Research Working Papers 1829, Harvard - Institute of Economic Research.
  6. Doghmi, Ahmed & Ziad, Abderrahmane, 2008. "Nash implementation in exchange economies with single-peaked preferences," Economics Letters, Elsevier, vol. 100(1), pages 157-160, July.
  7. Doghmi, Ahmed & Ziad, Abderrahmane, 2008. "Reexamination of Maskin's Theorem on Nash implementability," Economics Letters, Elsevier, vol. 100(1), pages 150-152, July.
  8. Bettina Klaus & Hans Peters & Ton Storcken, 1997. "Reallocation of an infinitely divisible good," Economic Theory, Springer, vol. 10(2), pages 305-333.
  9. Geanakoplos, J. & Nalebuff, B., 1988. "On A Fundamental Conflict Between Equity And Efficiency," Papers 137, Princeton, Woodrow Wilson School - Public and International Affairs.
  10. Sjostrom, Tomas & Yamato, Takehiko & Saijo, Tatsuyoshi, 2007. "Secure implementation," Theoretical Economics, Econometric Society, vol. 2(3), September.
  11. Anirban Kar & Özgür Kıbrıs, 2008. "Allocating multiple estates among agents with single-peaked preferences," Social Choice and Welfare, Springer, vol. 31(4), pages 641-666, December.
  12. Gensemer, Susan & Hong, Lu & Kelly, Jerry S., 1996. "Division Rules and Migration Equilibria," Journal of Economic Theory, Elsevier, vol. 69(1), pages 104-116, April.
  13. Danilov, Vladimir, 1992. "Implementation via Nash Equilibria," Econometrica, Econometric Society, vol. 60(1), pages 43-56, January.
  14. Salvador Barbera, 1995. "Strategy-Proof Allotment Rules," Discussion Papers 1142, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  15. Bochet, Olivier & Sakai, Toyotaka, 2010. "Secure implementation in allotment economies," Games and Economic Behavior, Elsevier, vol. 68(1), pages 35-49, January.
  16. M. Fleurbaey & F. Maniquet, 1997. "Implementability and Horizontal Equity Imply No-Envy," Econometrica, Econometric Society, vol. 65(5), pages 1215-1220, September.
  17. Thomson, W., 1994. "Concepts of Implementation," RCER Working Papers 396, University of Rochester - Center for Economic Research (RCER).
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Citations

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Cited by:
  1. Shuhei Morimoto & Shigehiro Serizawa & Stephen Ching, 2013. "A characterization of the uniform rule with several commodities and agents," Social Choice and Welfare, Springer, vol. 40(3), pages 871-911, March.
  2. Itai Ashlagi & Emin Karagozoglu & Bettina Klaus, 2008. "A Noncooperative Support for Equal Division in Estate Division Problems," Harvard Business School Working Papers 09-069, Harvard Business School.
  3. Velez, Rodrigo A. & Thomson, William, 2012. "Let them cheat!," Games and Economic Behavior, Elsevier, vol. 75(2), pages 948-963.

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