THE STRUCTURE OF ECONOMICS:A MATHEMATICAL ANALYSISPDF电子书下载
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- 作 者:EUGENE SILBERBERG
- 出 版 社:
- 出版年份:2000
- ISBN:0071181369
- 页数:668 页
图书介绍: 查看图书目录点击购买PDF全本电子书 上一篇:Lawyers in Soviet work life下一篇:Calculus with analytic geometry 《THE STRUCTURE OF ECONOMICS:A MATHEMATICAL ANALYSIS》目录 标签:
1 Comparative Statics and the Paradigm of Economics1
1.1 Introduction1
1.2 The Marginalist Paradigm3
1.3 Theories and Refutable Propositions9
The Structure of Theories10
Refutable Propositions12
1.4 Theories Versus Models;Comparative Statics14
1.5 Examples of Comparative Statics16
Problems23
Selected References24
Bibliography24
2 Review of Calculus(One Variable)25
2.1 Functions,Slopes,and Elasticity25
2.2 Maxima and Minima27
2.3 Continuous Compounding28
2.4 The Mean Value Theorem31
2.5 Taylor’s Series32
Applications of Taylor’s Series:Derivation of the First-and Second-Order Conditions for a Maximum;Concavity and Convexity34
3 Functions of Several Variables37
3.1 Functions of Several Variables37
3.2 Level Curves:Ⅰ37
3.3 Partial Derivatives39
3.4 The Chain Rule45
Second Derivatives by the Chain Rule47
3.5 Level Curves:Ⅱ49
Convexity of the Level Curves51
Monotonic Transformations and Diminishing Marginal Utility53
Problems55
3.6 Homogeneous Functions and Euler’s Theorem56
Problems65
Selected References65
4 Profit Maximization66
4.1 Unconstrained Maxima and Minima:First-Order Necessary Conditions66
4.2 Sufficient Conditions for Maxima and Minima:Two Variables 68 Problems72
4.3 An Extended Footnote73
4.4 An Application of Maximizing Behavior:The Profit-Maximizing Firm74
The Supply Function81
4.5 Homogeneity of the Demand and Supply Functions;Elasticities82
Elasticities83
4.6 The Long Run and the Short Run:An Example of the Le Chatelier Principle84
A More Fundamental Look at the Le Chatelier Principle86
Problems87
4.7 Analysis of Finite Changes:A Digression91
Appendix92
Taylor Series for Functions of Several Variables92
Concavity and the Maximum Conditions93
Selected References95
5 Matrices and Determinants96
5.1 Matrices96
5.2 Determinants,Cramer’s Rule98
5.3 The Implicit Function Theorem105
Problems109
Appendix110
Simple Matrix Operations110
The Rank of a Matrix112
The Inverse of a Matrix113
Orthogonality115
Problems116
Selected References116
6 Comparative Statics:The Traditional Methodology117
6.1 Introduction;Profit Maximization Once More117
6.2 Generalization to n Variables121
First-Order Necessary Conditions121
Second-Order Sufficient Conditions121
Profit Maximization:n Factors124
6.3 The Theory of Constrained Maxima and Minima:First-Order Necessary Conditions128
6.4 Constrained Maximization with More than One Constraint:A Digression132
6.5 Second-Order Conditions134
The Geometry of Constrained Maximization138
6.6 General Methodology141
Problems148
Selected References150
7 The Envelope Theorem and Duality151
7.1 History of the Problem151
7.2 The Profit Function152
7.3 General Comparative Statics Analysis:Unconstrained Models156
7.4 Models with Constraints159
Comparative Statics:Primal-Dual Analysis161
An Important Special Case165
Interpretation of the Lagrange Multiplier166
Le Chatelier Effects169
Problems172
Bibliography174
8 The Derivation of Cost Functions175
8.1 The Cost Function175
8.2 Marginal Cost179
8.3 Average Cost180
8.4 A General Relationship Between Average and Marginal Costs181
8.5 The Cost Minimization Problem183
8.6 The Factor Demand Curves189
Interpretation of the Lagrange Multiplier189
8.7 Comparative Statics Relations:The Traditional Methodology193
8.8 Comparative Statics Relations Using Duality Theory202
Reciprocity Conditions202
Cost Curves in the Short and Long Run205
Factor Demands in the Short and Long Run207
Relation to Profit Maximization209
8.9 Elasticities;Further Properties of the Factor Demand Curves211
Homogeneity212
Output Elasticities216
8.10 The Average Cost Curve216
8.11 Analysis of Firms in Long-Run Competitive Equilibrium218
Analysis of Factor Demands in the Long Run220
Problems222
Selected References224
9 Cost and Production Functions:Special Topics225
9.1 Homogeneous and Homothetic Production Functions225
9.2 The Cost Function:Further Properties228
Homothetic Functions232
9.3 The Duality of Cost and Production Functions234
The Importance of Duality237
9.4 Elasticity of Substitution;the Constant-Elasticity-of-Substitution(CES)Production Function238
Generalizations to n Factors248
The Generalized Leontief Cost Function249
Problems250
Bibliography250
10 The Derivation of Consumer Demand Functions252
10.1 Introductory Remarks:The Behavioral Postulates252
10.2 Utility Maximization261
Interpretation of the Lagrange Multiplier266
Roy’s Identity268
10.3 The Relationship Between the Utility Maximization Model and the Cost Minimization Model272
10.4 The Comparative Statics of the Utility Maximization Model;the Traditional Derivation of the Slutsky Equation276
10.5 The Modern Derivation of the Slutsky Equation282
Conditional Demands286
The Addition of a New Commodity288
10.6 Elasticity Formulas for Money-Income-Held-Constant and Real-Income-Held-Constant Demand Curves291
The Slutsky Equation in Elasticity Form291
Compensated Demand Curves294
10.7 Special Topics297
Separable Utility Functions297
The Labor-Leisure Choice299
Slutsky Versus Hicks Compensations304
The Division of Labor Is Limited by the Extent of the Market306
Problems310
Selected References313
11 Special Topics in Consumer Theory314
11.1 Revealed Preference and Exchange314
11.2 The Strong Axiom of Revealed Preference and Integrability322
Integrability325
11.3 The Composite Commodity Theorem332
Shipping the Good Apples Out335
11.4 Household Production Functions341
Comparative Statics345
11.5 Consumer’s Surplus347
Example354
Empirical Approximations355
11.6 Empirical Estimation and Functional Forms357
Linear Expenditure System357
CES Utility Function359
Indirect Addilog Utility Function360
Translog Specifications361
Almost Ideal Demand System362
Problems363
References on Theory366
References on Functional Forms366
12 Intertemporal Choice368
12.1 n-Period Utility Maximization368
Time Preference371
Fisherian Investment378
The Fisher Separation Theorem380
Real Versus Nominal Interest Rates382
12.2 The Determination of the Interest Rate384
12.3 Stocks and Flows387
Problems391
Selected References392
13 Behavior Under Uncertainty394
13.1 Uncertainty and Probability394
Random Variables and Probability Distributions395
Mean and Variance396
13.2 Specification of Preferences399
State Preference Approach399
The Expected Utility Hypothesis400
Cardinal and Ordinal Utility401
13.3 Risk Aversion403
Measures of Risk Aversion405
Mean-Variance Utility Function406
Gambling,Insurance,and Diversification409
13.4 Comparative Statics411
Allocation of Wealth to Risky Assets411
Output Decisions Under Price Uncertainty412
Increases in Riskiness413
Problems416
Selected References416
14 Maximization with Inequality and Nonnegativity Constraints418
14.1 Nonnegativity418
Functions of Two or More Variables423
14.2 Inequality Constraints427
14.3 The Saddle Point Theorem432
14.4 Nonlinear Programming437
14.5 An “Adding-Up” Theorem440
Problems442
Appendix443
Bibliography446
15 Contracts and Incentives448
15.1 The Organization of Production448
15.2 Principal-Agent Models449
Comparative Statics452
Multitask Agency454
15.3 Performance Measurement457
Choosing the Performance Measure460
15.4 Costly Monitoring and Efficiency Wages461
15.5 Team Production463
15.6 Incomplete Contracts466
Factors Affecting Ownership Structure469
Problems471
Selected References471
16 Markets with Imperfect Information473
16.1 The Value of Information in Decision Making473
16.2 Search474
Sequential Search476
Equilibrium Price Dispersion478
16.3 Adverse Selection482
Favorable Selection485
16.4 Signaling487
A More General Analysis490
16.5 Monopolistic Screening491
Problems496
Selected References497
17 General Equilibrium Ⅰ:Linear Models498
17.1 Introduction:Fixed-Coefficient Technology498
17.2 The Linear Activity Analysis Model:A Specific Example507
17.3 The Rybczynski Theorem513
17.4 The Stolper-Samuelson Theorem515
17.5 The Dual Problem517
17.6 The Simplex Algorithm526
Mathematical Prerequisites526
The Simplex Algorithm:Example530
Problems534
Bibliography536
18 General Equilibrium Ⅱ:Nonlinear Models537
18.1 Tangency Conditions537
18.2 General Comparative Statics Results545
18.3 The Factor Price Equalization and Related Theorems550
The Four-Equation Model556
The Factor Price Equalization Theorem558
The Stolper-Samuelson Theorems559
The Rybczynski Theorem566
18.4 Applications of the Two-Good,Two-Factor Model568
18.5 Summary and Conclusions572
Problems574
Bibliography576
19 Welfare Economics577
19.1 Social Welfare Functions577
19.2 The Pareto Conditions581
Pure Exchange581
Production584
19.3 The Classical “Theorems” of Welfare Economics591
19.4 A “Nontheorem” About Taxation594
19.5 The Theory of the Second Best595
19.6 Public Goods597
19.7 Consumer’s Surplus as a Measure of Welfare Gains and Losses600
19.8 Property Rights and Transactions Costs604
The Coase Theorem608
The Theory of Share Tenancy:An Application of the Coase Theorem611
Problems615
Bibliography616
20 Resource Allocation over Time:Optimal Control Theory617
20.1 The Meaning of Dynamics617
Brief History621
20.2 Solution to the Problem621
The Calculus of Variations627
Endpoint(Transversality)Conditions629
Autonomous Problems630
Sufficient Conditions632
20.3 Solutions to Differential Equations633
Simultaneous Differential Equations636
20.4 Interpretations and Solutions637
Intertemporal Choice637
Harvesting a Renewable Resource640
Capital Utilization644
Problems649
Selected References650
Hints and Answers652
Index661
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摘要:本文对《THE STRUCTURE OF ECONOMICS:A MATHEMATICAL ANALYSIS.pdf电子书版文档下载》进行了全面分析,从理论框架、数学方法、实际应用和学术影响四个方面进行了详细阐述,旨在为读者提供对该电子书内容的深入了解。
1、理论框架
《THE STRUCTURE OF ECONOMICS:A MATHEMATICAL ANALYSIS.pdf电子书版文档下载》以经济学理论为基础,构建了一个完整的经济学分析框架。作者在书中详细介绍了经济学的基本概念、原理和模型,为读者提供了经济学研究的理论基础。
在理论框架方面,本书首先对经济学的基本概念进行了梳理,包括生产、消费、投资、分配等。接着,作者介绍了经济学的基本原理,如供求关系、价格机制、市场均衡等。此外,本书还详细阐述了经济学模型,如供需模型、成本收益模型、博弈论模型等,为读者提供了丰富的经济学分析工具。
在理论框架的构建过程中,作者注重理论与实践相结合,通过对实际经济问题的分析,使读者更好地理解经济学理论的应用价值。
2、数学方法
《THE STRUCTURE OF ECONOMICS:A MATHEMATICAL ANALYSIS.pdf电子书版文档下载》在数学方法的应用方面具有显著特点。作者在书中运用了大量的数学工具,如微积分、线性代数、概率论等,对经济学问题进行定量分析。
在数学方法的应用方面,本书首先介绍了经济学中的基本数学工具,如函数、极限、导数等。接着,作者运用这些数学工具对经济学问题进行建模和分析,如成本函数、收入函数、利润函数等。此外,本书还介绍了经济学中的优化方法,如拉格朗日乘数法、凯莱-费舍尔指数等,为读者提供了丰富的数学分析手段。
通过数学方法的应用,本书使读者能够更加深入地理解经济学问题的本质,为经济学研究提供了有力的支持。
3、实际应用
《THE STRUCTURE OF ECONOMICS:A MATHEMATICAL ANALYSIS.pdf电子书版文档下载》在经济学实际应用方面具有很高的价值。作者在书中通过大量的实例,展示了经济学理论在现实经济问题中的应用。
在实际应用方面,本书首先介绍了经济学理论在宏观经济领域的应用,如经济增长、通货膨胀、失业等。接着,作者介绍了经济学理论在微观经济领域的应用,如企业决策、市场竞争、消费者行为等。此外,本书还介绍了经济学理论在政策制定、产业发展、国际贸易等领域的应用。
通过实际应用的分析,本书使读者能够更好地理解经济学理论在现实经济问题中的指导作用,为经济学实践提供了有益的参考。
4、学术影响
《THE STRUCTURE OF ECONOMICS:A MATHEMATICAL ANALYSIS.pdf电子书版文档下载》在学术界产生了深远的影响。本书的出版,不仅为经济学研究提供了新的视角和方法,还为经济学教育提供了重要的参考。
在学术影响方面,本书首先对经济学研究方法进行了创新,推动了经济学理论的发展。接着,本书为经济学教育提供了新的教材和教学资源,提高了经济学教育的质量。此外,本书还促进了经济学与其他学科的交叉研究,为经济学研究注入了新的活力。
总之,《THE STRUCTURE OF ECONOMICS:A MATHEMATICAL ANALYSIS.pdf电子书版文档下载》在学术界具有重要地位,为经济学研究和发展做出了重要贡献。
总结:
《THE STRUCTURE OF ECONOMICS:A MATHEMATICAL ANALYSIS.pdf电子书版文档下载》以经济学理论为基础,运用数学方法对经济学问题进行定量分析,具有丰富的实际应用价值。本书在学术界产生了深远的影响,为经济学研究和发展做出了重要贡献。
本文通过对《THE STRUCTURE OF ECONOMICS:A MATHEMATICAL ANALYSIS.pdf电子书版文档下载》的全面分析,旨在为读者提供对该电子书内容的深入了解。
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