This paper establishes equivalences among five classes of hybrid systems: mixed logical dynamical (MLD) systems, linear complementarity (LC) systems, extended linear complementarity (ELC) systems, piecewise affine (PWA) systems, and maxmin-plus-scaling (MMPS) systems. Some of the equivalences are established under (rather mild) additional assumptions. These results are of paramount importance f...

Blackwell (1951, 1953) proposes an informativeness ranking of experiments: Experiment I is more Blackwell-informative than Experiment II if and only if the value of experiment I is higher than that of experiment II for all expected-utility maximizers. Under commitment and reduction, our main theorem shows that Blackwell equivalence holds for all convex and strongly monotone preferences, i.e., t...

In the framework of dynamic choice under uncertainty, we define dynamic stability as a combination of two assumptions prevalent in the literature: dynamic consistency and the requirement that updated preferences belong to the same class as ex ante ones. Maxmin preferences are shown to be not dynamically stable, and any dynamically stable subset in that class can contain only expected utility pr...

We generalize the classical max-min rate allocation policy with the support of the minimum rate requirement and peak rate constraint for each connection. Since a centralized algorithm for the generalized maxmin (GMM) rate allocation requires global information, which is di cult to maintain and manage in a large network, we develop a distributed protocol to achieve the GMM policy using the avail...

This paper establishes equivalences among five classes of hybrid systems: mixed logical dynamical (MLD) systems, linear complementarity (LC) systems, extended linear complementarity (ELC) systems, piecewise affine (PWA) systems, and maxmin-plus-scaling (MMPS) systems. Some of the equivalences are established under (rather mild) additional assumptions. These results are of paramount importance f...

An expert, trying to assess the true distribution over the states of nature, is associated with a preference relation over utility bundles. He prefers f to g if he believes that, according to the true distribution, the expected utility of f is greater than that of g. Expert I is said to be more knowledgeable than expert II (Lefort [7]) if, between the two experts, it is always beneficial to fol...

In this paper, game theory was used and applied to the transport sector in Iraq, as includes two axes, public axis second private axis, each of these axes several types transport, namely (sea air land by rail, port transport) travel tourism sector, lacks competitive advantage matrix for formed after applying MinMax-MaxMin principle all its stages, it found that there an equilibrium point except...