Secure implementation in allotment economies
An allocation rule is securely implementable if it is strategy-proof and has no "bad" Nash equilibrium in its associated direct revelation game [Saijo, T., Sjöström, T., Yamato, T., 2007. Secure implementation. Theoretical Econ. 2, 203-229. Original work published in RIETI Discussion Paper (03-E-019), 2003]. We study this implementability notion in allotment economies with single-peaked preferences [Sprumont, Y., 1991. The division problem with single-peaked preferences: A characterization of the uniform allocation rule. Econometrica 59, 509-519]. The equal division rule and priority rules are characterized on the basis of secure implementability, which underlines a strong trade-off between efficiency and symmetry. Though the uniform rule is not securely implementable, we show that, in its direct revelation game, any "bad" Nash equilibrium is blocked by a credible coalitional deviation, and any "good" Nash equilibrium is never blocked. Thus the impossibility of securely implementing the uniform rule can be resolved by allowing pre-play communication among players.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Moulin, Herv�, 1998.
"Rationing a Commodity Along Fixed Paths,"
98-01, Duke University, Department of Economics.
- Yuji Fujinaka & Takuma Wakayama, 2007.
"Secure Implementation in Economies with Indivisible Objects and Money,"
ISER Discussion Paper
0699, Institute of Social and Economic Research, Osaka University.
- Fujinaka, Yuji & Wakayama, Takuma, 2008. "Secure implementation in economies with indivisible objects and money," Economics Letters, Elsevier, vol. 100(1), pages 91-95, July.
- Timothy N. Cason & Tatsuyoshi Saijo & Tomas Sjostrom & Takehiko Yamato, 2005.
"Secure Implementation Experiments: Do Strategy-proof Mechanisms Really Work?,"
Economics Working Papers
0055, Institute for Advanced Study, School of Social Science.
- Cason, Timothy N. & Saijo, Tatsuyoshi & Sjostrom, Tomas & Yamato, Takehiko, 2006. "Secure implementation experiments: Do strategy-proof mechanisms really work?," Games and Economic Behavior, Elsevier, vol. 57(2), pages 206-235, November.
- Cason, Timothy N. & Saijo, Tatsuyoshi & Sjostrom, Tomas & Yamato, Takehiko, 2003. "Secure Implementation Experiments: Do Strategy-proof Mechanisms Really Work?," Working Papers 4-03-1, Pennsylvania State University, Department of Economics.
- Tatsuyoshi Saijo & Timothy N. Cason & Tomas Sjostrom, 2003. "Secure Implementation Experiments:Do Strategy-proof Mechanisms Really Work?," Discussion papers 03012, Research Institute of Economy, Trade and Industry (RIETI).
- Cason, Timothy N. & Saijo, Tatsuyoshi & Sjostrom, Tomas & Yamato, Takehiho, 2003. "Secure Implementation Experiments: Do Strategy-Proof Mechanisms Really Work?," Working Papers 1165, California Institute of Technology, Division of the Humanities and Social Sciences.
- Sprumont, Yves, 1991. "The Division Problem with Single-Peaked Preferences: A Characterization of the Uniform Allocation Rule," Econometrica, Econometric Society, vol. 59(2), pages 509-19, March.
- Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1999.
"On Coalition-Proof Nash Equilibria in Common Agency Games,"
Journal of Economic Theory,
Elsevier, vol. 85(1), pages 122-139, March.
- KONISHI, Hideo & LE BRETON, Michel & WEBER, Shlomo, . "On coalition-proof Nash equilibria in common agency games," CORE Discussion Papers RP 1383, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Thomson William, 1994. "Consistent Solutions to the Problem of Fair Division When Preferences Are Single-Peaked," Journal of Economic Theory, Elsevier, vol. 63(2), pages 219-245, August.
- Barbera, Salvador & Jackson, Matthew O. & Neme, Alejandro, 1997.
"Strategy-Proof Allotment Rules,"
Games and Economic Behavior,
Elsevier, vol. 18(1), pages 1-21, January.
- Tatsuyoshi Saijo & Tomas Sjöström & Takehiko Yamato, 2004.
122247000000000615, UCLA Department of Economics.
- Shigehiro Serizawa, 2006.
"Pairwise Strategy-Proofness and Self-Enforcing Manipulation,"
Social Choice and Welfare,
Springer, vol. 26(2), pages 305-331, April.
- Shigehiro Serizawa, 2005. "Pairwise Strategy-Proofness and Self-Enforcing Manipulation," ISER Discussion Paper 0629, Institute of Social and Economic Research, Osaka University.
- Yuji Fujinaka & Takuma Wakayama, 2011.
"Secure implementation in Shapley–Scarf housing markets,"
Springer, vol. 48(1), pages 147-169, September.
- Yuji Fujinaka & Takuma Wakayama, 2008. "Secure Implementation in Shapley-Scarf Housing Markets," ISER Discussion Paper 0727, Institute of Social and Economic Research, Osaka University, revised Feb 2009.
- Lars Ehlers, 2002. "Resource-monotonic allocation when preferences are single-peaked," Economic Theory, Springer, vol. 20(1), pages 113-131.
- Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 23-38.
- Shinohara, Ryusuke, 2005. "Coalition-proofness and dominance relations," Economics Letters, Elsevier, vol. 89(2), pages 174-179, November.
- Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
- Yi, Sang-Seung, 1999. "On the Coalition-Proofness of the Pareto Frontier of the Set of Nash Equilibria," Games and Economic Behavior, Elsevier, vol. 26(2), pages 353-364, January.
When requesting a correction, please mention this item's handle: RePEc:eee:gamebe:v:68:y:2010:i:1:p:35-49. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.