It is proven that an autonomous system verifying some conditions has exactly one stable stationary trajectory. The proof of the result is based upon continuation methods. 2002 Elsevier Science Inc. All rights reserved.

We apply the von Neumann-Morgenstern stable set to the n-player cake division problem. Only time-preferences á la Rubinstein (1982) are assumed. The stable set is defined with respect to the following dominance relation: x dominates y if there is a player who prefers x over y even with one period lag. The Nash bargaining solution is characterized in the language of stable sets. Through the char...

1 (a) Claim: R[X, Y ] is not a Euclidean domain. Proof: If R[X, Y ] was a Euclidean domain, then it would be a principal ideal domain. But consider I = (x, y) = (x) + (y). I is certainly not a principal ideal, as if it were, there would be some polynomial, g that divides everything in I, so g would divide x, implying that g does not contain any monomials with positive degree in y, and likewise ...

The cooperative solution concept introduced here, the Stable Demand Set, contains the Core and is included in the Zhou Bargaining Set, eliminating the “dominated” coalition structures. The demand vectors belonging to the Stable Demand Set are self-stable. In the class of constant-sum homogeneous weighted majority games the Stable Demand Set is non-empty and predicts a unique stable demand vecto...

We repeat the statement of the IMH, as presented in [5]. A sentence in the language of set theory is internally consistent iff it holds in some (not necessarily proper) inner model. The meaning of internal consistency depends on what inner models exist: If we enlarge the universe, it is possible that more statements become internally consistent. The Inner Model Hypothesis asserts that the unive...

On the (im)possibility of improving upon the student-proposing deferred acceptance mechanism by Onur Kesten and Morimitsu Kurino* This paper studies a general school choice problem with or without outside options. The Gale-Shapley student-proposing deferred acceptance mechanism (DA) has played a central role not only in theory but also in important practical applications. We show that in proble...

— We introduce small viscosity solutions of hyperbolic systems with discontinuous coefficients accross the fixed noncharacteristic hypersurface {xd = 0}. Under a geometric stability assumption, our first result is obtained, in the multi-D framework, for piecewise smooth coefficients. For our second result, the considered operator is ∂t+a(x)∂x, with sign(xa(x)) > 0 (expansive case not included i...

The attracting set and the inverse limit set are important objects associated to a self-map on a set. We call stable set of the self-map the projection of the inverse limit set. It is included in the attracting set, but is not equal in the general case. Here we determine whether or not the equality holds in several particular cases, among which are the case of a dense range continuous function ...

We consider a voting situation where a society has to decide on the rule to use when choosing among two alternatives in the uncertain future. Our analysis is related to the set up of Barbera and Jackson (2001). While they consider ...nite societies in our set up the economy has an in...nite amount of agents. We de...ne a binary dominance relation over the set of decision rules and determine the...