Abstract
We consider continuous aggregation maps (e.g., social welfare functions). By assuming that the voters have preferences over social outcomes, we regard the social decision procedure as a noncooperative game, with the aggregation map as a game form. The map is called strategy-proof if it is a Nash equilibrium that the voters report their most preferred outcomes. We give sufficient topological conditions on the space of outcomes so that only dictatorial maps are strategy-proof.
The author is grateful to Graciela Chichilnisky and Geoffrey Heal for helpful discussions, and to Terje Lensberg for comments on the manuscript.
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© 1997 Springer-Verlag Berlin · Heidelberg
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Rasmussen, H. (1997). Strategy-proofness of continuous aggregation maps. In: Heal, G.M. (eds) Topological Social Choice. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60891-9_7
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DOI: https://doi.org/10.1007/978-3-642-60891-9_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64599-0
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