Constructing and Applying Objective Functions: Proceedings of the Fourth International Conference on Econometric Decision Models Constructing and Applying Objective Functions, University of Hagen, Held in Haus Nordhelle, August, 28 — 31, 2000 PDF
Preview Constructing and Applying Objective Functions: Proceedings of the Fourth International Conference on Econometric Decision Models Constructing and Applying Objective Functions, University of Hagen, Held in Haus Nordhelle, August, 28 — 31, 2000
Lecture Notes inEconomics and Mathematical Systems 510 Founding Editors: M.Beckmann H.P.Kiinzi ManagingEditors: Prof. Dr.G.Fandel FachbereichWirtschaftswissenschaften FernuniversitatHagen Feithstr. 140lAVZII,58084 Hagen,Germany Prof. Dr.W.Trockel InstitutfurMathematischeWirtschaftsforschung (IMW) UniversitatBielefeld Universitatsstr,25,33615Bielefeld,Germany Co-Editors: C.D.Aliprantis,DanKovenock EditorialBoard: P.Bardsley,A.Basile,M.R.Baye,T.Cason,R.Deneckere,A.Drexl, G.Feichtinger,M.Florenzano,W Giith,K.Inderfurth,M.Kaneko,P.Korhonen, W.Kursten,M.LiCalzi,P.K.Monteiro,Ch. Noussair,G.Philips,U.Schittko, P.Schonfeld,R.Selten,G.Sorger,R.Steuer,F.Vega-Redondo,A.P.Villamil, M.Wooders Springer-Verlag Berlin Heidelberg GmbH Andranik S. Tangian Josef Gruber (Eds.) Constructing and Applying Objective Functions Proceedings of the Fourth International Conference on Econometric Decision Models Constructing and Applying Objective Functions, University of Hagen, Held in Haus Nordhelle, August, 28 - 31, 2000 Springer Editors PD Dr. Dr. Andranik S. Tangian Prof. Dr. Dr. Dr. h.c. Josef Gruber University of Hagen ESG Feithstrasse 140 58084 Hagen, Germany Sponsoring Institutions University of Hagen State Ministry of Science and Research, Diisseldorf Deutsche Forschungsgemeinschaft, Bonn Cataloging-in-Publication data applied for Die Deutsche Bibliothek -CIP-Einheitsaufnahme Constructing and applying objective functions : proceedings ofthe Fourth International Conference on Econometric Decision Models Constructing and Applying Objective Functions, University of Hagen, held in Haus Nordhelle, August 28 -13. 2000 I Andranik S. Tangian ; Iosef Gruber (ed.). -Berlin; Heidelberg; New York; Barcelona; Hong Kong; London; Milan; Paris; Singapore; Tokyo: Springer. 2002 lLecture notes in economics·and mathematical systems; VoI. 510) ISBN 3-540-42669-8 ISSN 0075-8442 ISBN 978-3-540-42669-1 ISBN 978-3-642-56038-5 (eBook) DOI 10.1007/978-3-642-56038-5 This work is subject to copyright. AII rights are reserved. whether the whole or part of the material is concemed, specifically the rights of translation. reprinting, re-use of illustrations, recitation, broadcasting. reproduction on microfilms or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. © Springer-Verlag Berlin Heidelberg 2002 Originally published by Springer-Verlag Berlin Heidelberg New York 2002 The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Typesetting: Camera ready by author Cover design: design & production, Heidelberg Printed on acid-free paper SPIN: 10852776 55/3142/du 543 2 1 O Preface This proceedings volume makes available to the worldwide scientific commu nity a selection of papers presented at the Fourth International Conference on Econometric DecisionModels, University ofHagen, August 28- 31, 2000. The 30 papers contained have been organized in 12 sections. The section headings provide thefirst orientationforthe reader. A broadspectrum oftopics is covered, e.g. from mathematical economics and statistical theories to appli cations ofeconometric procedures discussed and decision support systems (e.g. computer programs) needed for applications. The proceedings volumebegins with the opening remarks ofProfessor Josef Gruber, who was, together with Privatdozent Dr. Dr. Andranik S. Tangian, or ganizer ofthe conference. Theyprovide (inaddition the personal remarks) some informationwhichmay be helpfulforreadersenteringthe highly interestingand veryimportantfield "constructing and applyingobjective functions". Objective functions playa central role not only in economics/econometrics, but also in engineering (especially in optimal control). Two founders of the Econometric Society (1930) and winners of the first NobelPrizeineconomics(1969),RagnarFrisch (1895- 1973)andJanTinbergen (1903 - 1994), have been deeply involved in the problem of constructing and applying objective functions. But not all of their research results (especially those of R. Frisch) have been published soon after their development. Here, this proceedings volume may help to close an information gap: It contains in Section 2 two invited lectures: Professor Olav Bjerkholt, University of Oslo, the editor of R. Frisch's collected works, together with his colleague Professor S. Stram, describes studies by R. Frisch in the historical perspective. Professor Merkies, Free University of Amsterdam, provides a survey of J. Tinbergen's workson objective functions, as wellas ofhis own contributions to this field. This proceedings volume makes available to the English-speaking scientific community many papers, which were written by Russian-speaking researchers. Even if such papers have been written in English, they are often not easily available in other parts ofthe world. This proceedings volume provides a "state-of-the-art" account on the area "constructing and applying objective functions". It can be used not only by established scholars and engineers. It can be of very great interest also for new comers (e.g, advanced studentswhoare lookingforan interesting and rewarding research topic for their dissertation). He/she can find papers (and parts of pa pers) which contain information needed for getting started in the construction and practical application ofobjective functions. Hagen, August, 2001 JosefGruber Andranik S. Tangian Contents I Opening Speech Opening Remarks: A Retrospection over35Years ofWork. ............. 3 Josef Gruber II Keynote Addresses DecisionModelsand Preferences:The PioneeringContributionsofRagnar Frisch 17 Olav Bjerkholt and Steinar Strem Experiments with Preference Functions ............................... 37 A.H.Q.M. Merkies III Representation ofPreferences by Objective Functions On the Extension ofUtility Functions ..... ............. .... ..... ... .. 63 Pavel Chebotarev Numerical Representation of Binary Relations with Multiplicative Error Function: A General Case 75 Erkut Yusuf Ozbay IV Form ofObjective Functions and Choice Operators Utility Functions, Prices, and Cost Functions on a Lattice ofInformation Commodities ...................................................... 89 Alexandre I. Sotskov AStructure ofJoint Irreducible Sets for ClassicallyRationalizable Choice Operators 104 Emel Filiz V Constructing Objective Functions from Interviews A Unified Model for Cardinally and Ordinally Constructing Quadratic Objective Functions 117 Andranik Tangian VIII Contents Constructing Separable Objective Functions 170 Andranik Tangian VI Optimization Issues ofObjective Functions ConstructingUtilityFunctions byMethodsofNondifferentiableOptimiza- tion , " 215 Naum Z.Shor and Petro I. Stetsyuk Adjusting an Objective Function to a Given Optimal Solution in Linear and Linear-fractional Programming , 233 ErikBajalinov VII Applications ofObjective Functions An ObjectiveFunction ofArtificial Psychology for a Computer System of Fashion Fitting 247 ZhiLiang Wang, Yanling Zhao, Lele Zou, and Masaeake Nagai Ranking ofSecond-hand Policies 260 Robert Teibach Experience in UsingRecursive Utility Theory 280 Igor G. Pospelov A Model for Management ofa Gas-field 297 Mikhail G. Sukharev and SergeiYu. Jolkov Constructing QuadraticObjectiveFunctionsby Linear Programmingwith an Application to Pure Exchange , 309 Claus Schwarm Choiceof Customer Products on the Basis ofa Decision Model 331 Gudrun Hillesand Andranik Tangian VIn Objective Functions ofEconomic Policy Decision Support Multifunctional System "Ukrainian Budget" 349 Ludmilla B. Koshlai and Mikhail V. Mikhalevich Towards an Objective Function for Slovenian Fiscal Policy-making: A Heuristic Approach 366 Klaus Weyerstrass and Reinhard Neck Contents IX IX Resource Allocation with Objective Functions On Distributed Resource Allocation in a Communication System 393 Tiina Heikkinen SocialEquilibriafor Competitive Resource Allocation Models 408 Victor Domansky and VictoriaKreps Reallocation ofBudgets with an Objective Function 420 Andranik Tangian X Consumer Behavior and Equilibrium Applications AGeneralizationofthe NonparametricMethodin CaseofTradeStatistics not Satisfying the Hypothesis ofRational Behavior 443 LudmilaYa, Pospelova and Alexandre A. Shananin Variation Principles in Models ofEconomic Equilibrium 453 Alexandre A. Shananin Uniformly Most PowerfulTests for Optimum Equilibrium 463 Hsih-chia Hsieh XI Objective Functions in Game Theory A Family ofthe Least Power Valuesfor Cooperative TU Games 473 ElenaYanovskaya Goal ProgrammingSolutions Generated by Utility Functions 495 Lev M. Bregman and NataliaI. Naumova Social WelfareFunctions for Different Subgroup Utility Scales 515 Anna B. Khmelnitskaya XII Decision Support Systems Statistical Games for Discrete Distributions 533 Michael M. Lutsenko A Computer Programfor Constructing Quadratic Objective Functions.... 549 Andranik Tangian X Contents Conference Participants Conference Participants 581 Foto by Andranik Tangian Part I Opening Speech
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