The structure of strategy-proof social choice - Part I: General characterization and possibility results on median spaces

@article{Nehring2007TheSO,
  title={The structure of strategy-proof social choice - Part I: General characterization and possibility results on median spaces},
  author={Klaus Nehring and Clemens Puppe},
  journal={J. Economic Theory},
  year={2007},
  volume={135},
  pages={269-305}
}
We define a general notion of single-peaked preferences based on abstract betweenness relations. Special cases are the classical example of single-peaked preferences on a line, the separable preferences on the hypercube, the “multi-dimensionally singlepeaked” preferences on the product of lines, but also the unrestricted preference domain. Generalizing and unifying the existing literature, we show that a social choice function is strategy-proof on a sufficiently rich domain of generalized… CONTINUE READING
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