On locally rationalizable social choice functions Article Swipe
Felix Brandt
,
Chris Dong
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1007/s11238-024-10011-1
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1007/s11238-024-10011-1
We consider a notion of rationalizability, where the rationalizing relation may depend on the set of feasible alternatives. More precisely, we say that a choice function is locally rationalizable if it is rationalized by a family of rationalizing relations such that a strict preference between two alternatives in some feasible set is preserved when removing other alternatives. It is known that a choice function is locally rationalizable if and only if it satisfies Sen’s $$\gamma$$ . We expand the theory of local rationalizability by proposing a natural strengthening of $$\gamma$$ that precisely characterizes local rationalizability via PIP-transitive relations. Local rationalizability permits a unified perspective on social choice functions that satisfy $$\gamma$$ , including classic ones such as the top cycle and the uncovered set as well as new ones such as two-stage majoritarian choice and split cycle . We give simple axiomatic characterizations of some of these using local rationalizability and propose systematic procedures to define social choice functions that satisfy $$\gamma$$ .
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1007/s11238-024-10011-1
- https://link.springer.com/content/pdf/10.1007/s11238-024-10011-1.pdf
- OA Status
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- References
- 43
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- OpenAlex ID
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https://openalex.org/W4405544409Canonical identifier for this work in OpenAlex
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https://doi.org/10.1007/s11238-024-10011-1Digital Object Identifier
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On locally rationalizable social choice functionsWork title
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2024Year of publication
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2024-12-18Full publication date if available
- Authors
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Felix Brandt, Chris DongList of authors in order
- Landing page
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https://doi.org/10.1007/s11238-024-10011-1Publisher landing page
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https://link.springer.com/content/pdf/10.1007/s11238-024-10011-1.pdfDirect link to full text PDF
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YesWhether a free full text is available
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hybridOpen access status per OpenAlex
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https://link.springer.com/content/pdf/10.1007/s11238-024-10011-1.pdfDirect OA link when available
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Mathematical economics, Social choice theory, Mathematics, Rationalizability, Mathematical optimization, Economics, Nash equilibriumTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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| citation_normalized_percentile.is_in_top_10_percent | False |