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Dynamic modelling and control of national economies, 1986 : proceedings of the 5th IFAC/IFORS conference, Budapest, 17-20 June 1986
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ISBN: 0080347959 1322501599 1483298124 Year: 1987 Volume: vol 1987, 5 Publisher: Oxford Tokyo Toronto Pergamon Press

Invariance and structural dependence
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ISBN: 354055260X 3642483887 Year: 1992 Volume: vol 380 Publisher: Berlin Heidelberg Springer-Verlag

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This is a revised version of a doctoral thesis, submitted in mimeographed fonn to the Faculty of Arts, Uppsala University, 1988. It deals with the notions of struc­ tural dependence and independence, which are used in many applications of mathe­ matics to science. For instance, a physical law states that one physical aspect is structurally dependent on one or more other aspects. Structural dependence is closely related to the mathematical idea of functional dependence. However, struc­ tural dependence is primarily thought of as a relation holding between aspects rather than between their measures. In this book, the traditional way of treating aspects within measurement theory is modified. An aspect is not viewed as a set-theoretical structure but as a function which has sets as arguments and set-theoretical structures as values. This way of regarding aspects is illustrated with an application to social choice and group deci­ sion theory. Structural dependence is connected with the idea of concomitant variations and the mathematical notion of invariance. This implies that the study of this notion has roots going back to Mill's inductive logic, to Klein's Erlangen Program for geome­ try and to Padoa's method for proving the independence of symbols in formal logic.

Challenges for macroeconomic modelling
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ISBN: 0444705295 9780444705297 Year: 1988 Volume: 178 Publisher: Amsterdam : Elsevier North-Holland,


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Financiële algebra : theorie van beleggingen, leningen en levensverzekeringen
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ISBN: 9045515695 9789045515694 904552032X 9789045520322 Year: 2006 Publisher: Antwerpen De Boeck

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In Financiële algebra gaan de auteurs dieper in op het wiskundige aspect van de diverse begrippen die verband houden met het beleggen of het ontlenen van geldkapitalen. Bovendien biedt het inzicht in het model voor de individuele levensverzekeringen. De essentie van de tarificatie van levensverzekeringen wordt toegelicht. Ook het begrip `wiskundige reserve' van een levensverzekering wordt bestudeerd. Vooral verzekeringstechnische elementen komen aan bod en niet zozeer de juridische of commerciële aspecten. Het boek besteedt veel aandacht aan oefeningen (204 oef.).

Axioms of cooperative decision making
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ISBN: 0521424585 0521360552 1139052209 9780521424585 9780521360555 9781139052207 Year: 1988 Volume: 15 Publisher: Cambridge : Cambridge University Press,

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Axioms of Cooperative Decision Making provides a unified and comprehensive study of welfarism, cooperative games, public decision making, and voting and social choice theory - technically heterogeneous subjects that are linked by common axioms. Hervé Moulin studies these areas from an axiomatic perspective. Every axiom conveys a certain ethical principle (e.g. 'one man one vote', or 'to each according to his contribution'). Axiomatic theory examines the compatibility of various combinations of axioms. The book describes recent successes of this method. It gives many examples of the axiomatic approach, ranging from the construction of numerical indices for measuring inequality, to the pricing of a regulated monopoly, to the comparison of various voting rules. The book will be useful to mathematical modellers, especially those interested in economics and political science.

The analytics of uncertainty and information
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ISBN: 0521283698 0521239567 1139167634 9780521283694 9780521239561 9781139167635 Year: 1992 Publisher: Cambridge : Cambridge University Press,

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Economists have always recognised that human endeavours are constrained by our limited and uncertain knowledge, but only recently has an accepted theory of uncertainty and information evolved. This theory has turned out to have surprisingly practical applications: for example in analysing stock market returns, in evaluating accident prevention measures, and in assessing patent and copyright laws. This book presents these intellectual advances in readable form for the first time. It unifies many important but partial results into a satisfying single picture, making it clear how the economics of uncertainty and information generalises and extends standard economic analysis. Part One of the volume covers the economics of uncertainty: how each person adapts to a given fixed state of knowledge by making an optimal choice among the immediate 'terminal' actions available. These choices in turn determine the overall market equilibrium reflecting the social distribution of risk bearing. In Part Two, covering the economics of information, the state of knowledge is no longer held fixed. Instead, individuals can to a greater or lesser extent overcome their ignorance by 'informational' actions. The text also addresses at appropriate points many specific topics such as insurance, the Capital Asset Pricing model, auctions, deterrence of entry, and research and invention.

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