EconPapers    
Economics at your fingertips  
 

Rationalizable Implementation of Social Choice Correspondences

Ritesh Jain ()
Additional contact information
Ritesh Jain: Institute of Economics, Academia Sinica, Taipei, Taiwan, http://www.econ.sinica.edu.tw/english/

No 19-A002, IEAS Working Paper : academic research from Institute of Economics, Academia Sinica, Taipei, Taiwan

Abstract: A social choice correspondence (SCC) F is a mapping which associates with every state θ ∈ Θ a non empty subset of a set of outcomes. F is implementable in rationalizable strategies provided that there exists a mechanism such that for each state θ, the support of its set of rationalizable outcomes is equal to the socially desirable set F(θ). We find that r-monotonicity is a necessary condition for the rationalizable implementation of F. When there are at least three agents and F satisfies certain auxiliary conditions, r-monotonicity is also sufficient for rationalizable implementation. Finally, we show that a SCC which is never single valued is rationalizably implementable if and only if it satisfies r-monotonicity.

Keywords: : Implementation; Social choice correspondences; Monotonicity; Rationalizability (search for similar items in EconPapers)
JEL-codes: C79 D82 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-mic
Date: 2019-06
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1) Track citations by RSS feed

Downloads: (external link)
http://www.econ.sinica.edu.tw/UpFiles/201309281717 ... /19-A002(all)new.pdf (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:sin:wpaper:19-a002

Access Statistics for this paper

More papers in IEAS Working Paper : academic research from Institute of Economics, Academia Sinica, Taipei, Taiwan Contact information at EDIRC.
Bibliographic data for series maintained by HsiaoyunLiu ().

 
Page updated 2019-11-21
Handle: RePEc:sin:wpaper:19-a002