The literature on counterfactuals is dominated by strict accounts (SA) and variably (VSA). Counterexamples to the principle of Antecedent Strengthening were thought be fatal SA; but it has been shown that adding dynamic resources view, such examples can accounted for. We broaden debate between VSA SA focusing a new strengthening principle, with Possibility. show classically validates this princ...

Schelling's famous model of segregation assumes agents different types, who would like to be located in neighborhoods having at least a certain fraction the same type. We consider natural generalizations that allow for possibility being tolerant towards other agents, even if they are not In particular, we an ordering and make realistic assumption principle more types closer their own according ...

In this paper we prove some stochastic comparisons results for progressive type II censored order statistics. The problem of stochastically comparing concomitants of the two progressive type II censored order statistics with possibly different schemes, under different kinds of dependence between X and Y is considered and it is proved that if Y is stochastically increasing (decreasing) in X, ...

We present a detailed formalization of Lipschitz and Wadge games in the context second order arithmetic we investigate logical strength determinacy, tightly related Semi-Linear Ordering principle, for first levels Hausdorff difference hierarchy Cantor space. As result, obtain characterizations WKL0 ACA0 terms these determinacy principles.

We study competition in a general framework introduced by Immorlica, Kalai, Lucier, Moitra, Postlewaite, and Tennenholtz [19] and answer their main open question. Immorlica et al. [19] considered classic optimization problems in terms of competition and introduced a general class of games called dueling games. They model this competition as a zero-sum game, where two players are competing for a...

The paper is devoted to variational analysis of set-valued mappings acting from quasimetric spaces into topological spaces with variable ordering structures. Besides the mathematical novelty, our motivation comes from applications to adaptive dynamical models of behavioral sciences. We develop a unified dynamical approach to variational principles in such settings based on the new minimal point...

Vector autoregressive models are often used in Macroeconomics to draw conclusions about the effects of policy innovations. However, those results depend on the researcher’s priors about the particular ordering of the variables. As an alternative, this paper presents a very simple rule based on the maximum entropy principle that can be used to find the “most likely” ordering. The proposal is ill...

Few-electron systems confined in quasi-one-dimensional quantum dots are studied by the configuration interaction approach. We consider the parity symmetry of states forming Wigner molecules in large quantum dots and find that for the spin-polarized Wigner molecules it strictly depends on the number of electrons. We investigate the spatial spin ordering in the inner coordinates of the quantum sy...

This paper distinguishes an index ordering and a social ordering function as a simple way to formalize the indexing problem in the social choice framework. Two main conclusions are derived. First, the alleged dilemma between welfarism and perfectionnism is shown to involve a third possibility, exemplified by the fairness approach to social choice. Second, the idea that an individual is better o...

We reconsider the problem of ordering infinite utility streams. As has been established in earlier contributions, if no representability condition is imposed, there exist strongly Paretian and finitely anonymous orderings of intertemporal utility streams.We examine the possibility of adding suitably formulated versions of classical equity conditions. First, we provide a characterization of all ...