Titlebook: Topological Social Choice; Geoffrey M. Heal Book 1997 Springer-Verlag Berlin · Heidelberg 1997 Homotopy.population.social choice theory

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A note on continuous social choice,g to anonymity. It is shown that we can at best obtain the equivalent result of Chichilnisky’s impossibility theorem when the set of an equivalence classes is endowed with various reasonable topologies.

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978-3-642-64599-0Springer-Verlag Berlin · Heidelberg 1997

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Social choice and resource allocation: a topological perspective, approaches to the study of social choice, and the analysis of what have come to be known as “Chichilnisky rules”. Initiated by Chichilnisky in a paper in . in 1980 [14], the field has quickly evolved from a separate and distinct area of social choice to one which is integrated into the mainstreams

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Informational geometry of social choice,uch as Arrow’s Theorem, Chichilnisky’s dictator, and the Gibbard-Satterthwaite result. In this manner new results about positional voting methods are outlined, and difficulties with axiomatic approach are discussed. A topological result about “dictatorial” behavior is offered.

malapropism

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Strategy-proofness of continuous aggregation maps, 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 dictato

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