Amendola, G., Marengo, L., Pirino, D., Settepanella, S. and Takemura, A. (2015). Decidability in complex social choices. Evolutionary and Institutional Economics Review, 12(1), 141-168.

In this paper, we develop on a geometric model of social choice among bundles of interdependent elements (objects). Social choice can be seen as a process of search for optima in a complex multidimensional space and objects determine a decomposition of such a space into subspaces. We present a series of numerical and probabilistic results which show that such decompositions in objects can greatly increase decidability, as new kind of optima (called local and u-local) are very likely to appear also in cases in which no generalized Condorcet winner exists in the original search space.

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About Davide Pirino

Financial Econometrics: HAR-model for volatility forecasting, non-parametric model for electiricty prices. Systemic Risk: Illiquidity and collateralized finance, networks of risk spillover, flight-to-quality indicators. Analysis of Genome Sequences: Stochastic intensity models for DNA motifs.