In two-sided matching markets, stability can be costly. We define social welfare functions for matching markets and use them to formulate a definition of the price of stability. We then show that it is common to find a price tag attached to stability, and that the price of stability can be substantial. Therefore, when choosing a matching mechanism, a social planner would be well advised to weig...

This paper analyses the reasons for resulting in the instability of mobile manipulator. Several methods of stability analysis and errors compensation are introduced, including the theories, the modeling processes and their characteristics. The significance of analysing the stability and compensating the errors are expounded. In addition, the corresponding applications are also discussed. Finall...

In the above paper, it was shown by way of an example that there exist bounded-input–bounded-output (BIBO) unstable linear systems whose transfer functions are analytic in the finite plane. We note that this result could easily be shown by using some examples already present in the literature.

A control strategy is described for globally stabilizing ANCBI linear plants subject to input constraints in the presence of persistent arbitrarily large but bounded disturbances. Unlike the disturbance-free case, the presence of persistent disturbances imposes critical structural conditions on the disturbance-to-state map of the system in order to achieve global internal asymptotic and global ...

Large house price bubbles can be devastating for the real economy. Therefore, understanding the conditions under which large house price bubbles occur is fundamental. We shed new light on this issue in a laboratory setting. We find that endowing subjects with a lower preference for housing services creates larger experimental house price bubbles. This is in line with the theoretical model mecha...

Datasets are often used multiple times and each successive analysis may depend on the outcome of previous analyses. Standard techniques for ensuring generalization and statistical validity do not account for this adaptive dependence. A recent line of work studies the challenges that arise from such adaptive data reuse by considering the problem of answering a sequence of “queries” about the dat...

In this paper, we study numerically the existence and stability of some special solutions of the nonlinear beam equation: utt +uxxxx +u− |u|p−1u = 0 when p = 3 and p = 5. First we show the existence and the orbital stability of the standing wave solutions: u(x, t) = eφω(x). Next, we study the existence and linear stability of the traveling wave solutions: u(x, t) = φ(x + ct). For both types of ...

the wisdom of crowds, an innovative theory described in social science, claims that the aggregate decisions made by a group will often be better than those of its individual members if the four fundamental criteria of this theory are satisfied. this theory used for in clustering problems. previous researches showed that this theory can significantly increase the stability and performance of lea...

Planning robust grasping operations involving a dextrous robotics hand and an object located in a three dimensional workspace requires to combine two main types of techniques: a geometric reasoning technique aimed at producing a grasping strategy (preshape of the hand, grasping parameters, type of motion to execute), and a physically based technique, allowing the analysis of the dynamic object/...

First, we demonstrate how the Contraction Lemma for Rademacher averages can be used to obtain tight performance guarantees for learning methods [3]. In particular, we derive risk bounds for a greedy mixture density estimation procedure. We prove that, unlike what is suggested in the literature, the number of terms in the mixture is not a bias-variance trade-off for the performance. Our upper bo...