The present book treats a highly specialized topic, namely effec- tivity functions, which are a tool for describing the power structure implicit in social choice situations of various kind. One of the ad- vantages of effectivity functions is that they seem to contain exactly the information which is needed in several problems of implementa- tion, that is in designing the rules for individual behaviour given that this behaviour at equilibrium should result in a prescribed functional connection between preferences and outcome. We shall be interested in both formal properties of effectiv- ity...

Computing Equilibria and Fixed Points is devoted to the computation of equilibria, fixed points and stationary points. This volume is written with three goals in mind: (i) To give a comprehensive introduction to fixed point methods and to the definition and construction of Grobner bases; (ii) To discuss several interesting applications of these methods in the fields of general equilibrium theory, game theory, mathematical programming, algebra and symbolic computation; (iii) To introduce several advanced fixed point and stationary point theorems. These methods and topics should be of...

Reviews the current status of several mathematical problems in quantum mechanics, focusing on the behavior of Bloch electrons in electric and magnetic fields. The 22 papers, two in French, discuss various techniques from semiclassical analysis and pseudodifferential operators, stochastic methods, sc