Evolutionary game dynamics is the application of population dynamical methods to game theory. It has been introduced by evolutionary biologists, anticipated in part by classical game theorists. In this survey, we present an overview of the many brands of deterministic dynamical systems motivated by evolutionary game theory, including ordinary differential equations (and, in particular, the repl...

in he present study,i explain how the great logician qazwini, dabiran al-katibi (600-675 ad)questioned a well accepted “complete inclusion” rule with a counterexample in modal logic (concearning with, possibility and contingency).this rule demonstrates a vise versa relation between contradictories of two universal concepts when a “complete inclusion” relation exists between them.two letters by ...

I show that Armstrong’s view of laws as second-order contingent relations of ‘necessitation’ among categorical properties faces a dilemma. The necessitation relation confers a relation of extensional inclusion (‘constant conjunction’) on its relata. It does so either necessarily or contingently. If necessarily, it is not a categorical relation (in the relevant sense). If contingently, then an e...

The theory of quasivector spaces has been applied for a class of zonotopes in the plane defined as positive combinations of basic centered segments. This leads to an implicit presentation of the zonotopes by means of two vectors: one for the center and one for the centered zonotope obtained by translation of the original zonotope in the origin. Using this presentation, the order relation inclus...

To help understand various reproducing kernels used in applied sciences, we investigate the inclusion relation of two reproducing kernel Hilbert spaces. Characterizations in terms of feature maps of the corresponding reproducing kernels are established. A full table of inclusion relations among widely-used translation invariant kernels is given. Concrete examples for Hilbert-Schmidt kernels are...

We study in the setting of probabilistic default reasoning under coherence the quasi conjunction, which is a basic notion for defining consistency of conditional knowledge bases, and the Goodman & Nguyen inclusion relation for conditional events. We deepen two results given in a previous paper: the first result concerns p-entailment from a finite family F of conditional events to the quasi conj...

This chapter introduces an incremental asymptotic stability notion for sets of hybrid trajectories S . The elements in S are functions defined on hybrid time domains, which are subsets of R≥0×N with a specific structure. For this abstract system, incremental asymptotic stability is defined as the property of the graphical distance between every pair of solutions to the system having stable beha...