LEADER 04207nam 22005775 450 001 9911034946303321 005 20251012130407.0 010 $a981-9694-97-3 024 7 $a10.1007/978-981-96-9497-6 035 $a(MiAaPQ)EBC32342868 035 $a(Au-PeEL)EBL32342868 035 $a(CKB)41645906300041 035 $a(OCoLC)1545644313 035 $a(DE-He213)978-981-96-9497-6 035 $a(EXLCZ)9941645906300041 100 $a20251012d2025 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Economics of General Equilibrium $eAnalysis with Measurable and Topological Structures /$fby Akira Yamazaki 205 $a1st ed. 2025. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2025. 215 $a1 online resource (0 pages) 225 1 $aMonographs in Mathematical Economics,$x2364-8287 ;$v8 311 08$a981-9694-96-5 327 $aIntroduction -- Notation in Economic Analysis -- Part I Mathematical Preliminaries -- 1 Some Basic Facts and Properties in Mathematical Analysis -- Part II Foundations of Theoretical Economic Analysis -- 2 Basic Concepts of Equilibrium Analysis -- 3 Mathematical Structures on the Space of Agents? Characteristics -- 4 Individual Demands -- 5 Economies with a Measure Space of Consumers -- 6 Walrasian Equilibria of Economies -- 7 Production in Economies -- 8 Edgeworth Equilibria as the Core of Economies. 330 $aThis book presents a rigorous formulation of the general equilibrium model in economies with topological and measurable mathematical structures. It aims to provide basic tools and analytical methods for advanced graduate students and researchers interested in microeconomic theory and game theory. It is based on lecture notes distributed among advanced graduate students in the advanced mathematical economics course at the Ph.D. level. The book presents a unified treatment of the general equilibrium analysis of economies with perfectly competitive markets based on the Walrasian model. It is divided into Part I and Part II. The mathematical analysis of general equilibrium in perfectly competitive economies begins in Part II. As a mathematical preparation for Part II for most economics students, Part I collects some basic mathematical concepts and facts that are later needed and used in the theoretical economic analysis. Some readers may wish to start the book from Part II and refer back to Part I whenever it is necessary to review mathematical concepts and related well-known mathematical results referred to in the text. The presentation of theoretical economic analysis of general equilibrium theory in Part II is organized chapter by chapter: Basic Concepts of Equilibrium Analysis, Mathematical Structure on the Space of Economic Agents? Characteristics, Individual Demands, Economies with a Measure Space of Consumers, Walrasian Equilibria of Economies, Production Economies, and Edgeworth Equilibria as the Core of Economies. The mathematical analysis in this book uses topological and measurable structures that are essentially built into the model to provide an appropriate means of expressing the characteristics of economic agents that form a basic part of economies along with commodities in market transactions and market prices for valuation in markets. 410 0$aMonographs in Mathematical Economics,$x2364-8287 ;$v8 606 $aMeasure theory 606 $aEquilibrium (Economics) 606 $aFunctional analysis 606 $aMeasure and Integration 606 $aGeneral Economical Equilibrium 606 $aFunctional Analysis 615 0$aMeasure theory. 615 0$aEquilibrium (Economics) 615 0$aFunctional analysis. 615 14$aMeasure and Integration. 615 24$aGeneral Economical Equilibrium. 615 24$aFunctional Analysis. 676 $a515.42 700 $aYamazaki$b Akira$01853148 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911034946303321 996 $aMathematical Economics of General Equilibrium$94449200 997 $aUNINA