We prove that the SD-prenucleolus satis…es monotonicity in the class of convex games. The SD-prenucleolus is thus the only known continuous core concept that satis…es monotonicity for convex games. We also prove that for convex games the SD-prenucleolus and the SD-prekernel coincide. Keywords: TU games, prenucleolus, monotonicity. Keywords: TU games, prenucleolus, monotonicity JEL classi…cation...

Motivated by the research on social opinion dynamics over large networks, a general framework for verifying the Monotonicity Property of multi-agent dynamics is introduced. This allows a derivation of sociologically meaningful sufficient conditions for monotonicity that are tailor-made for social opinion dynamics, which typically have high non-linearity. A key part of this framework is the defi...

This paper is composed of two complementary parts. The first part is a formal investigation into the interplay of properties of reciprocal relations, how monotonicity relates to some natural and intuitive properties, including stochastic transitivity. The goal is to aggregate monotone reciprocal relations on a given set of alternatives. Monotonicity is expressed w.r.t. a linear order on the set...

We study minimum distance estimation problems related to maximum likelihood estimation in positron emission tomography (pet), which admit algorithms similar to the standard em algorithm for pet with the same type of monotonicity properties as does the em algorithm, see Vardi, Shepp, and Kaufman [25]. We derive the algorithms via the majorizing function approach of De Pierro [11], as well as via...

Dynamic regression models, including the quantile regression model and Aalen’s additive hazards model, are widely adopted to investigate evolving covariate effects. Yet lack of monotonicity respecting with standard estimation procedures remains an outstanding issue. Advances have recently been made, but none provides a complete resolution. In this article, we propose a novel adaptive interpolat...