The main objective of the paper is to study the locus of all core selection and aggregate monotonic point solutions of a TU-game: the aggregate-monotonic core. Furthermore, we characterize the class of games for which the core and the aggregate-monotonic core coincide. Finally, we introduce a new family of rules for TU-games which satisfy core selection and aggregate monotonicity.

Formal rules governing signed edges on causal directed acyclic graphs are described in this paper and it is shown how these rules can be useful in reasoning about causality. Specifically, the notions of a monotonic effect, a weak monotonic effect and a signed edge are introduced. Results are developed relating these monotonic effects and signed edges to the sign of the causal effect of an inter...

In this paper, we study two-player games played on infinite but monotonic game structures. We concentrate on coverability games, a natural subclass of reachability games in the context of monotonic game structures. On the negative side, we show that surprisingly, and contrary to the one-player case, coverability is undecidable on two-player monotonic game structures. On the positive side, we id...

This paper presents two results about preference domain conditions that deepen our understanding of anonymous and monotonic Arrovian social welfare functions (ASWFs). We characterize the class of anonymous and monotonic ASWFs on domains without Condorcet triples. This extends and generalizes an earlier characterization (as Generalized Majority Rules) by Moulin (Axioms of Cooperative Decision Ma...

The concept of local monotonicity appears in the study of the set of root signals of the median filter and provides a measure of the smoothness of a signal. The median filter is a suboptimal smoother under this measure of smoothness, since a filter pass does necessarily yield a locally monotonic output; even if a locally monotonic output does result, there is no guarantee that it will possess o...

We start by defining an approach to non-monotonic prob­ abilistic reasoning in terms of non-monotonic categorical reasoning. We identify a type of non-monotonic proba­ bilistic reasoning, akin to default inheritance, that seems to be commonly found in practice. We formulate this in terms of the Maximization of Conditional Independence (MCI), and identify a variety of applications for this sort ...

We present mechanisms for the creation of strategies by mixing behaviour-dependent and -independent tactics in multiissue negotiation. The traditional linear weighted combination of tactics may generate non-monotonic utilities over time even in the case of a monotonic series of opponent’s offers. The proposed methods guarantee monotonic utilities, which can improve negotiation outcomes in many ...

This paper presents a frequency domain based method to design iterative learning controllers (ILC) for monotonic convergence. This is an extension of a repetitive controller (RC) design that aims to achieve monotonic convergence of all frequency components of the tracking error from period to period. The monotonic convergence condition in the RC design requires a steady-state assumption that th...

Monotonic modal logics form a generalisation of normal modal logics in which the additivity of the diamond modality has been weakened to monotonicity: 3p∨3q → 3(p∨q). This generalisation means that Kripke structures no longer form an adequate semantics. Instead monotonic modal logics are interpreted over monotonic neighbourhood structures, that is, neighbourhood structures where the neighbourho...