We prove the existence of equilibria in games with players who employ abstract (non-binary) choice rules. This framework goes beyond the standard, transitive model and encompasses games where players have non-transitive preferences (e.g., skew-symmetric bilinear preferences).

We introduce the use of the Mahalanobis distance for the analysis of the cohesiveness of a group of linear orders or complete preorders. We prove that arbitrary codifications of the preferences are incompatible with this formulation, while affine transformations permit to compare profiles on the...

This article considers the dynamics of Spanish literacy in the period 1860-1910, characterized by local councils’ responsibility of public elementary education. To this end, it is built a harmonized series of the literacy of the population aged ten or over, disaggregated by sex and province....

This article considers the dynamics of Spanish literacy in the period 1860-1910, characterized by local councils’ responsibility of public elementary education. To this end, it is built a harmonized series of the literacy of the population aged ten or over, disaggregated by sex and province....

The Kulturkampf set off by article 26 of the Constitution of the Second Spanish Republic is used to construct a proxy variable for the intensity of confessional allegiance in Spain. The correlation between literacy and confessional intensity is then considered in two points in time during the...

A comparative picture of the literacy processes in Western Europe on the eve of and during the Second Industrial Revolution is provided, taking censual literacy rates as a yardstick to measure and compare literacy in different countries. If only partial or insufficient censual data are...

A family of algorithms provides a formalization of how the basic one-round electoral systems – highest average and largest remainders, single transferable vote and single non-transferable vote systems – proceed in transforming votes into seats. In this way, the basic one-round electoral...

We reexamine the analysis of Chambers (Social Choice and Welfare, 2009), that produces a characterization of a family of social welfare functions in the context of intergenerational equity: namely, those that coincide with either the sup, inf, lim sup, or lim inf rule. Reinforcement, ordinal...

In this work we are concerned with maximality issues under intransitivity of the indifference. Our approach relies on the analysis of "undominated maximals" (cf., Peris and Subiza, J Math Psychology 2002). Provided that an agent's binary relation is acyclic, this is a selection of its maximal...

Two factors influence the resolution of the conflict among infinite generations: the consistency/ethical postulates requested; and the utilities that each generation can possess. We contribute to qualifying the Basu-Mitra approach to this problem, that concerns social welfare functions. Firstly we...