A topological approach to the Arrow impossibility theorem when individual preferences are weak orders

@article{Tanaka2005ATA,
  title={A topological approach to the Arrow impossibility theorem when individual preferences are weak orders},
  author={Yasuhito Tanaka},
  journal={Applied Mathematics and Computation},
  year={2005},
  volume={174},
  pages={961-981}
}
We will present a topological approach to the Arrow impossibility theorem of social choice theory that there exists no binary social choice rule (which we will call a social welfare function) which satisfies the conditions of transitivity, independence of irrelevant alternatives (IIA), Pareto principle and non-existence of dictator. Our research is in line with the studies of topological approaches to discrete social choice problems initiated by Baryshnikov [Y. Baryshnikov, Unifying… CONTINUE READING
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