Handbook of Mathematical Economics, Volume 3Kenneth Joseph Arrow, Michael D. Intriligator The Handbook of Mathematical Economics aims to provide a definitive source, reference, and teaching supplement for the field of mathematical economics. It surveys, as of the late 1970's the state of the art of mathematical economics. This is a constantly developing field and all authors were invited to review and to appraise the current status and recent developments in their presentations. In addition to its use as a reference, it is intended that this Handbook will assist researchers and students working in one branch of mathematical economics to become acquainted with other branches of this field.Volume 1 deals with Mathematical Methods in Economics, including reviews of the concepts and techniques that have been most useful for the mathematical development of economic theory.For more information on the Handbooks in Economics series, please see our home page on http: //www.elsevier.nl/locate/hes |
Contents
Chapter 22 | 1073 |
Nontransitive social preference | 1084 |
Nonbinary social choice | 1091 |
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action agent allocation Arrow assumed assumption binary binary relation choice function commodity concave condition consider constraint consumers converges convex correspondence decision rule defined demand denote dominant e₁ Econometrica Economic Review Economic Studies Economic Theory efficiency environment exists finite Fishburn given Hurwicz implies impossibility result independence individual preferences input Journal of Economic Laffont Lemma leximin Lindahl linear marginal cost Maskin Mathematical matrix mechanism Mirrlees n-tuple Nash equilibrium one-step design optimal tax optimum outcome function output P₁ pair Pareto principle Pareto-optimal Pattanaik possibility theorem preference relation problem procedure production public firm quasi-transitivity requirement restriction Review of Economic S₁ satisfying Section shadow prices social choice social choice functions social choice theory social preference social welfare function stationary optimal path strategy subset Suppose SWFL taxation utilitarianism utility function value loss variables vector voting welfare economics