The self-consistency of a thermodynamical theory for hadronic systems based on the non-extensive statistics is investigated. We show that it is possible to obtain a self-consistent theory according to the asymptotic bootstrap principle if the mass spectrum and the energy density increase...

This paper presents the first part of a general study of the structure of nine preference-based choice functions introduced by Barrett et al.2 More precisely, we show that, as for crisp total pre-orders, first and last alternatives exist in a finite set of alternatives equipped with a strongly...

Constant price impact functions, much used in financial literature, are shown to give rise to paradoxical outcomes as they do not allow for proper predictability removal: for instance, the exploitation of a single large trade whose size and time of execution are known in advance to some insider...

The paper applies a technique developed in artificial intelligence to frame and analyze on the foundational level A. Sen's critique of internal consistency conditions in various choice situations.