Abstract

Social choice and resource allocation: a topological perspective.- Market arbitrage, social choice and the core.- Topological and discrete social choice: in a search of a theory.- Informational geometry of social choice.- Topological methods in social choice: an overview.- A note on continuous social choice.- Strategy-proofness of continuous aggregation maps.- The geometry of implementation: a necessary and sufficient condition for straightforward games.- Homotopy properties of Pareto aggregation rules.- Social choice with infinite populations: contruction of a rule and impossibility results.- Topological aggregation, the case of an infinite population.- Topological aggregation of preferences: the case of a continuum of agents.- Continuity and equity with infinite horizons.- A note on week oo-Chichilnisky rules.- Some issues related to the topological aggregation of references: adendum.

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