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On the relation between Preference Reversal and Strategy-Proofness
K. P. S. Bhaskara Rao, Achille Basile, Surekha Rao
We analyze the relation between strategy-proofness and preference reversal in the case that agents may declare indifference. Interestingly, Berga and Moreno (2020), have recently d…
Geometry of anonymous binary social choices that are strategy-proof
Achille Basile, Surekha Rao, K. P. S. Bhaskara Rao
Let be society whose members express preferences about two alternatives, indifference included. Identifying anonymous binary social choice functions with binary functions $f=f(…
Anonymous, non-manipulable, binary social choice
Achille Basile, Surekha Rao, K. P. S. Bhaskara Rao
Let V be a finite society whose members express weak orderings (hence also indifference, possibly) about two alternatives. We show a simple representation formula that is valid for…
The structure of two-valued strategy-proof social choice functions with indifference
Achille Basile, Surekha Rao, K. P. S. Bhaskara Rao
We give a structure theorem for all coalitionally strategy-proof social choice functions whose range is a subset of cardinality two of a given larger set of alternatives. We provid…