Paths to stability for matching markets with couples

We study two-sided matching markets with couples and show that for a natural preference domain for couples, the domain of weakly responsive preferences, stable outcomes can always be reached by means of decentralized decision making. Starting from an arbitrary matching, we construct a path of matchings obtained from `satisfying' blocking coalitions that yields a stable matching. Hence, we establish a generalization of Roth and Vande Vate's (1990) result on path convergence to stability for decentralized singles markets. Furthermore, we show that when stable matchings exist, but preferences are not weakly responsive, for some initial matchings there may not exist any path obtained from `satisfying' blocking coalitions that yields a stable matching.

Candidate stability and voting correspondences

We study the incentives of candidates to enter or to exit elections in order to strategically affect the outcome of a voting correspondence. We extend the results of Dutta, Jackson and Le Breton (2000), who only considered single-valued voting procedures by admitting that the outcomes of voting may consist of sets of candidates. We show that, if candidates form their preferences over sets according to Expected Utility Theory and Bayesian updating, every unanimous and non dictatorial voting correspondence violates candidate stability. When candidates are restricted to use even chance prior distributions, only dictatorial or bidictatorial rules are unanimous and candidate stable. We also analyze the implications of using other extension criteria to define candidate stability that open the door to positive results.

On the stability of cooperation structures

Qin [J. Eco. Th., 1996] recently showed that in a game of endogenous formation of cooperation structure, if the underlying TU-game is superadditive, then the full cooperation structure is stable. In this note, we characterize the class of games that ensure the stability of the full cooperation structure, and show that this class is much larger than that of superadditive TU-games.

Reduction, Linearization and stability of relative equilibria for mechanical systems on riemannian manifolds

Consider a Riemannian manifold equipped with an infinitesimal isometry. For this setup, a unified treatment is provided, solely in the language of Riemannian geometry, of techniques in reduction, linearization, and stability of relative equilibria. In particular, for mechanical control systems, an explicit characterization is given for the manner in which reduction by an infinitesimal isometry, and linearization along a controlled trajectory "commute." As part of the development, relationships are derived between the Jacobi equation of geodesic variation and concepts from reduction theory, such as the curvature of the mechanical connection and the effective potential. As an application of our techniques, fiber and base stability of relative equilibria are studied. The paper also serves as a tutorial of Riemannian geometric methods applicable in the intersection of mechanics and control theory.

Stability and manipulation in representative democracies

This paper is devoted to the analysis of all constitutions equipped with electoral systems involving two step procedures. First, one candidate is elected in every jurisdiction by the electors in that jurisdiction, according to some aggregation procedure. Second, another aggregation procedure collects the names of the jurisdictional winners in order to designate the final winner. It appears that whenever individuals are allowed to change jurisdiction when casting their ballot, they are able to manipulate the result of the election except in very few cases. When imposing a paretian condition on every jurisdictions voting rule, it is shown that, in the case of any finite number of candidates, any two steps voting rule that is not manipulable by movement of the electors necessarily gives to every voter the power of overruling the unanimity on its own. A characterization of the set of these rules is next provided in the case of two candidates.

Stability of periodic solutions obtained via the averaging method for nonsmooth Lipschitz system

"Vegeu el resum a l'inici del document del fitxer adjunt."

On the stability of periodic orbits in Rn

We consider an autonomous differential system in Rn with a periodic orbit and we give a new method for computing the characteristic multipliers associated to it. Our method works when the periodic orbit is given by the transversal intersection of n ¡ 1 codimension one hypersurfaces and is an alternative to the use of the first order variational equations. We apply it to study the stability of the periodic orbits in several examples, including a periodic solution found by Steklov studying the rigid body dynamics.

Exercice physique et athérosclérose : quels sont les mécanismes physiologiques et moléculaires de l'exercice qui préviennent et protègent de l'athérosclérose? : approche chez un modèle expérimental d'athérosclérose : la souris génétiquement dépourvue en apolipoprotéine E (apoE-/-)

RESUME : L'athérosclérose, pathologie inflammatoire artérielle chronique, est à l'origine de la plupart des maladies cardiovasculaires qui constituent l'une des premières causes de morbidité et mortalité en France. Les études observationnelles et expérimentales montrent que l'exercice physique prévient la mortalité cardiovasculaire. Cependant, les mécanismes précisant les bénéfices cliniques de l'exercice sur l'athérosclérose sont encore largement inconnus. Le but général de ce travail a donc été d'explorer, en utilisant un modèle expérimental d'athérosclérose, la souris hypercholestérolémique génétiquement dépourvue en apolipoprotéine E (apoE-/-), les mécanismes athéroprotecteurs de l'exercice. La dysfonction endothéliale, généralement associée aux facteurs de risque cardiovasculaire, serait l'une des étapes précoces majeures de l'athérogenèse. Elle est caractérisée par une diminution de la biodisponibilité en monoxyde d'azote (NO) avec la perte de ses propriétés vasculo-protectrices, ce qui favorise un climat pro-athérogène (stress oxydatif, adhésion et infiltration des cellules inflammatoires dans la paroi artérielle...) conduisant à la formation de la plaque athéromateuse. L'objectif de notre premier travail a donc été d'explorer les effets de l'exercice d'une part, sur le développement des plaques athéromateuses et d'autre part, sur la fonction endothéliale de la souris apoE-/-. Nos résultats montrent que l'exercice réduit significativement l'extension de l'athérosclérose et prévient la dysfonction endothéliale. L'explication pharmacologique montre que l'exercice stimule la fonction endothéliale via, notamment, une plus grande sensibilité des récepteurs endothéliaux muscariniques, ce qui active les événements signalétiques cellulaires récepteurs-dépendants à l'origine d'une bioactivité accrue de NO. Les complications cliniques graves de l'athérosclérose sont induites par la rupture de la plaque instable provoquant la formation d'un thrombus occlusif et l'ischémie du territoire tissulaire en aval. L'objectif de notre deuxième travail a été d'examiner l'effet de l'exercice sur la qualité/stabilité de la plaque. Nos résultats indiquent que l'exercice de longue durée stabilise la plaque en augmentant le nombre de cellules musculaires lisses et en diminuant le nombre de macrophages intra-plaques. Nos résultats montrent aussi que la phosphorylation de la eNOS (NO Synthase endothéliale) Akt-dépendante n'est pas le mécanisme moléculaire majeur à l'origine de ce bénéfice. Enfin, dans notre troisième travail, nous avons investigué l'effet de l'exercice sur le développement de la plaque vulnérable. Nos résultats montrent, chez un modèle murin de plaque instable (modèle d'hypertension rénovasculaire à rénine et angiotensine II élevés) que l'exercice prévient l'apparition de la plaque vulnérable indépendamment d'un effet hémodynamique. Ce bénéfice serait associé à une diminution de l'expression vasculaire des récepteurs AT1 de l'Angiotensine II. Nos résultats justifient l'importance de l'exercice comme outil préventif des maladies cardiovasculaires. ABSTRACT : Atherosclerosis, a chronic inflammatory disease, is one of the main causes of morbidity and mortality in France. Observational and experimental data indicate that regular physical exercise has a positive impact on cardiovascular mortality. However, the mechanisms by which exercise exerts clinical benefits on atherosclerosis are still unknown. The general aim of this work was to elucidate the anti-atherosclerotic effects of exercise, using a mouse model of atherosclerosis: the apolipoprotein E-deficient mice (apoE-/- mice). Endothelial dysfunction, generally associated with cardiovascular risk factors, has been recognized to be a major and early step in atherogenesis. Endothelial dysfunction is characterized by Nitric Oxide (NO) biodisponibility reduction with loss of NO-mediated vasculoprotective actions. This leads to vascular effects such as increased oxidative stress and increased adhesion of inflammatory cells into arterial wall thus playing a role in atherosclerotic plaque development. Therefore, one of the objective of our study was to explore the effects of exercise on atherosclerotic plaque extension and on endothelial function in apoE-/- mice. Results show that exercise significantly reduces plaque progression and prevents endothelial dysfunction. Pharmacological explanation indicates that exercise stimulates endothelial function by increasing muscarinic receptors sensitivity which in turn activates intracellular signalling receptor-dependent events leading to increased NO bioactivity. The clinical manifestations of atherosclerosis are the consequences of unstable plaque rupture with thrombus formation leading to tissue ischemia. The second aim of our work was to determine the effect of exercise on plaque stability. We demonstrate that long-term exercise stabilizes atherosclerotic plaques as shown by decreased macrophage and increased Smooth Muscle Cells plaque content. Our results also suggest that the Akt-dependent eNOS phosphorylation pathway is not the primary molecular mechanism mediating these beneficial effects. Finally, we assessed a putative beneficial effect of exercise on vulnerable plaque development. In a mouse model of Angiotensine II (Ang II)-mediated vulnerable atherosclerotic plaques, we provide fist evidence that exercise prevents atherosclerosis progression and plaque vulnerability. The beneficial effect of swimming was associated with decreased aortic Ang II AT1 receptor expression independently from any hemodynamic change. These findings suggest clinical benefit of exercise in terms of cardiovascular event protection.

Regulation of Nedd4-2 self-ubiquitination and stability by a PY motif located within its HECT-domain.

Ubiquitin ligases play a pivotal role in substrate recognition and ubiquitin transfer, yet little is known about the regulation of their catalytic activity. Nedd4 (neural-precursor-cell-expressed, developmentally down-regulated 4)-2 is an E3 ubiquitin ligase composed of a C2 domain, four WW domains (protein-protein interaction domains containing two conserved tryptophan residues) that bind PY motifs (L/PPXY) and a ubiquitin ligase HECT (homologous with E6-associated protein C-terminus) domain. In the present paper we show that the WW domains of Nedd4-2 bind (weakly) to a PY motif (LPXY) located within its own HECT domain and inhibit auto-ubiquitination. Pulse-chase experiments demonstrated that mutation of the HECT PY-motif decreases the stability of Nedd4-2, suggesting that it is involved in stabilization of this E3 ligase. Interestingly, the HECT PY-motif mutation does not affect ubiquitination or down-regulation of a known Nedd4-2 substrate, ENaC (epithelial sodium channel). ENaC ubiquitination, in turn, appears to promote Nedd4-2 self-ubiquitination. These results support a model in which the inter- or intra-molecular WW-domain-HECT PY-motif interaction stabilizes Nedd4-2 by preventing self-ubiquitination. Substrate binding disrupts this interaction, allowing self-ubiquitination of Nedd4-2 and subsequent degradation, resulting in down-regulation of Nedd4-2 once it has ubiquitinated its target. These findings also point to a novel mechanism employed by a ubiquitin ligase to regulate itself differentially compared with substrate ubiquitination and stability.

Accurate performance of a rat model of schizophrenia in the water maze depends on visual cue availability and stability: a distortion in cognitive mapping abilities?

Rats were treated postnatally (PND 5-16) with BSO (l-buthionine-(S,R)-sulfoximine) in an animal model of schizophrenia based on transient glutathione deficit. The BSO treated rats were impaired in patrolling a maze or a homing table when adult, yet demonstrated preserved escape learning, place discrimination and reversal in a water maze task [37]. In the present work, BSO rats' performance in the water maze was assessed in conditions controlling for the available visual cues. First, in a completely curtained environment with two salient controlled cues, BSO rats showed little accuracy compared to control rats. Secondly, pre-trained BSO rats were impaired in reaching the familiar spatial position when curtains partially occluded different portions of the room environment in successive sessions. The apparently preserved place learning in a classical water maze task thus appears to require the stability and the richness of visual landmarks from the surrounding environment. In other words, the accuracy of BSO rats in place and reversal learning is impaired in a minimal cue condition or when the visual panorama changes between trials. However, if the panorama remains rich and stable between trials, BSO rats are equally efficient in reaching a familiar position or in learning a new one. This suggests that the BSO accurate performance in the water maze does not satisfy all the criteria for a cognitive map based navigation on the integration of polymodal cues. It supports the general hypothesis of a binding deficit in BSO rats.

Stability of Growth Models with Generalised Lag Structures

This paper considers the lag structures of dynamic models in economics, arguing that the standard approach is too simple to capture the complexity of actual lag structures arising, for example, from production and investment decisions. It is argued that recent (1990s) developments in the the theory of functional differential equations provide a means to analyse models with generalised lag structures. The stability and asymptotic stability of two growth models with generalised lag structures are analysed. The paper concludes with some speculative discussion of time-varying parameters.