On Locally Rationalizable Social Choice Functions
Felix Brandt, Chris Dong

TL;DR
This paper explores locally rationalizable social choice functions, characterizing them through a strengthened condition called $oldsymbol{ ext{γ}}$-hull, and unifies various classic and new social choice rules under this framework.
Contribution
It introduces a strengthened $oldsymbol{ ext{γ}}$ condition, characterizes local rationalizability via PIP-transitive relations, and proposes systematic procedures for defining social choice functions satisfying $oldsymbol{ ext{γ}}$.
Findings
Characterizes local rationalizability using a strengthened $ ext{γ}$ condition.
Introduces the $ ext{γ}$-hull as the finest coarsening satisfying $ ext{γ}$.
Unifies classic and new social choice functions under the local rationalizability framework.
Abstract
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. Tyson (2008) has shown that a choice function is locally rationalizable if and only if it satisfies Sen's . We expand the theory of local rationalizability by proposing a natural strengthening of that precisely characterizes local rationalizability via PIP-transitive relations and by introducing the -hull of a choice function as its finest coarsening that satisfies . Local rationalizability permits a unified perspective on social choice functions that satisfy , including…
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Taxonomy
TopicsEconomic theories and models · Game Theory and Voting Systems · Experimental Behavioral Economics Studies
MethodsBalanced Selection
