Mas-Colell Table of Contents
No Day Date Section Title Page
1     ONE INDIVIDUAL DECISION MAKING 3
3     Ch 1 Preference and Choice 5
4 W 7-Sep 1.A Introduction 5
5 1.B Preference Relations 6
6 1.C Choice Rules 9
7 1.D The Relationship between Preference Relations and Choice Rules 11
8 1 Exercises 15
9     Ch 2 Consumer Choice 17
10 2.A Introduction 17
11 2.B Commodities 17
12 2.C The Consumption Set 18
13 2.D Competitive Budgets 20
14 2.E Demand Functions and Comparative Statics 23
15 2.F The Weak Axiom of Revealed Preference and the Law of Demand 28
16 2 Exercises 36
17     Ch 3 Classical Demand Theory 40
18 3.A Introduction 40
19 3.B Preference Relations: Basic Properties 41
20 3.C Preference and Utility 46
21 3.D The Utility Maximization Problem 50
22 3.E The Expenditure Minimization Problem 57
23 3.F Duality: A Mathematical Introduction 63
24 3.G Relationships between Demand, Indirect Utility, and Expenditure Functions 67
25 3.H Integrability 75
26 3.I Welfare Evaluation of Economic Changes 80
27 3J The Strong Axiom of Revealed Preference 91
28 Apdx A Continuity and Differentiability Properties of Walrasian Demand 92
29 3 Exercises 96
30     Ch 4 Aggregate Demand 105
31 4.A Introduction 105
32 4.B Aggregate Demand and Aggregate Wealth 106
33 4.C Aggregate Demand and the Weak Axiom 109
34 4.D Aggregate Demand and the Existence of a Representative Consumer 116
35 Apdx A Regularizing Effects of Aggregation 122
36 4 Exercises 123
37     Ch 5 Production 127
38 5.A Introduction 127
39 5.B Production Sets 128
40 5.C Profit Maximization and Cost Minimization 135
41 5.D The Geometry of Cost and Supply in the Single-Output Case 143
42 5.E Aggregation 147
43 5.F Efficient Production 149
44 5.G Remarks on the Objectives of the Firm 152
45 Apdx A The Linear Activity Model 154
46 5 Exercises 160
47     Ch 6 Choice Under Uncertainty 167
48 6.A Introduction 167
49 6.B Expected Utility Theory 168
50 6.C Money Lotteries and Risk Aversion 183
51 6.D Comparison of Payoff Distributions in Terms of Return and Risk 194
52 6.E State-dependent Utility 199
53 6.F Subjective Probability Theory 205
54 6 Exercises 208
55     TWO GAME THEORY 217
56     Ch 7 Basic Elements of Noncooperative Games 219
57 7.A Introduction 219
58 7.B What Is a Game? 219
59 7.C The Extensive Form Representation of a Game 221
60 7.D Strategies and the Normal Form Representation of a Game 228
61 7.E Randomized Choices 231
62 7 Exercises 233
63     Ch 8 Simultaneous-Move Games 235
64 8.A Introduction 235
65 8.B Dominant and Dominated Strategies 236
66 8.C Rationalizable Strategies 242
67 8.D Nash Equilibrium 246
68 8.E Games of Incomplete Information: Bayesian Nash Equilibrium 253
69 8.F The Possibility of Mistakes: Trembling-Hand Perfection 258
70 Apdx A Existence of Nash Equilibrium 260
71 8 Exercises 262
72     Ch 9 Dynamic Games 267
73 9.A Introduction 267
74 9.B Sequential Rationality, Backward Induction, and Subgame Perfection 268
75 9.C Beliefs and Sequential Rationality 282
76 9.D Reasonable Beliefs and Forward Induction 292
77 Apdx A Finite and Infinite Horizon Bilateral Bargaining 296
78 Apdx B Extensive Form Trembling-Hand Perfect Nash Equilibrium 299
79 9 Exercises 301
80     THREE MARKET EQUILIBRIUM AND MARKET FAILURE 307
81     Ch 10 Competitive Markets 311
82 10.A Introduction 311
83 10.B Pareto Optimality and Competitive Equilibria 312
84 10.C Partial Equilibrium Competitive Analysis 316
85 10.D The Fundamental Welfare Theorems in a Partial Equilibrium Context 325
86 10.E Welfare Analysis in the Partial Equilibrium Model 328
87 10.F Free-Entry and Long-Run Competitive Equilibria 334
88 10.G Concluding Remarks on Partial Equilibrium Analysis 341
89 10 Exercises 344
90     Ch 11 Externalities and Public Goods 350
91 11.A Introduction 350
92 11.B A Simple Bilateral Externality 351
93 11.C Public Goods 359
94 11.D Multilateral Externalities 364
95 11.E Private Information and Second-Best Solutions 368
96 Apdx A Nonconvexities and the Theory of Externalities 374
97 11 Exercises 378
98     Ch 12 Market Power 383
99 12.A Introduction 383
100 12.B Monopoly Pricing 384
101 12.C Static Models of Oligopoly 387
102 12.D Repeated Interaction 400
103 12.E Entry 405
104 12.F The Competitive Limit 411
105 12.G Strategic Precommitments to Affect Future Competition 414
106 Apdx A Infinitely Repeated Games and the Folk Theorem 417
107 Apdx B Strategic Entry Deterrence and Accommodation 423
108 12 Exercises 428
110     Ch 13 Adverse Selection, Signaling, and Screening 436
111 13.A Introduction 436
112 13.B Informational Asymmetries and Adverse Selection 437
113 13.C Signaling 450
114 13.D Screening 460
115 Apdx A Reasonable-Beliefs Refinements in Signaling Games 467
116 13 Exercises 473
117     Ch 14 The Principal-Agent Problem 477
118 14.A Introduction 477
119 14.B Hidden Actions (Moral Hazard) 478
120 14.C Hidden Information (and Monopolistic Screening) 488
121 14.D Hidden Actions and Hidden Information: Hybrid Models 501
122 Apdx A Multiple Effort Levels in the Hidden Action Model 502
123 Apdx B A Formal Solution of the Principal-Agent Problem with Hidden Information 504
124 14 Exercises 507
125     FOUR GENERAL EQUILIBRIUM 511
126     Ch 15 General Equilibrium Theory: Some Examples 515
127 15.A Introduction 515
128 15.B Pure Exchange: The Edgeworth Box 515
129 15.C The One-Consumer, One-Producer Economy 525
130 15.D The 2 x 2 Production Model 529
131 15.E General Versus Partial Equilibrium Theory 538
132 15 Exercises 540
133     Ch 16 Equilibrium and Its Basic Welfare Properties 545
135 16.A Introduction 545
136 16.B The Basic Model and Definitions 546
137 16.C The First Fundamental Theorem of Welfare Economics 549
138 16.D The Second Fundamental Theorem of Welfare Economics 551
139 16.E Pareto Optimality and Social Welfare Optima 558
140 16.F First-Order Conditions for Pareto Optimality 561
141 16.G Some Applications 566
142 Apdx A Technical Properties of the Set of Feasible Allocations 573
143 16 Exercises 575
144     Ch 17 The Positive Theory of Equilibrium 578
145 17.A Introduction 578
146 17.B Equilibrium: Definitions and Basic Equations 579
147 17.C Existence of Walrasian Equilibrium 584
148 17.D Local Uniqueness and the Index Theorem 589
149 17.E Anything Goes:The Sonnenschein-Mantel-Debreu Theorem 598
150 17.F Uniqueness of Equilibria 606
151 17.G Comparative Statics Analysis 616
152 17.H Tatonnement Stability 620
153 17.1 Large Economies and Nonconvexities 627
154 Apdx A Characterizing Equilibrium through Welfare Equations 630
155 Apdx B A General Approach to the Existence of Walrasian Equilibrium 632
156 17 Exercises 641
157     Ch 18 Some Foundations for Competitive Equilibria 652
158 18.A Introduction 652
159 18.B Core and Equilibria 652
160 18.C Noncooperative Foundations of Walrasian Equilibria 660
161 18.D The Limits to Redistribution 665
162 18.E Equilibrium and the Marginal Productivity Principle 670
163 Apdx A Cooperative Game Theory 673
164 18 Exercises 684
165     Ch 19 General Equilibrium Under Uncertainty 687
166 19.A Introduction 687
167 19.B A Market Economy with Contingent Commodities: Description 688
168 19.C Arrow-Debreu Equilibrium 691
169 19.D Sequential Trade 694
170 19.E Asset Markets 699
171 19.F Incomplete Markets 709
172 19.G Firm Behavior in General Equilibrium Models Under Uncertainty 713
173 19.H Imperfect Information 716
174 19 Exercises 725
175     Ch 20 Equilibrium and Time 732
176 20.A Introduction 732
177 20.B Intertemporal Utility 733
178 20.C Intertemporal Production and Efficiency 736
179 20.D Equilibrium: The One-Consumer Case 743
180 20.E Stationary Paths, Interest Rates, and Golden Rules 754
181 20.F Dynamics 759
182 20.G Equilibrium: Several Consumers 765
183 20.H Overlapping Generations 769
184 20.1 Remarks on Nonequilibrium Dynamics: Tatonnement and Learning 778
185 20 Exercises 782
187     FIVE WELFARE ECONOMICS AND INCENTIVES 787
188     Ch 21 Social Choice Theory 789
189 21.A Introduction 789
190 21.B A Special Case: Social Preferences over Two Alternatives 790
191 21.C The General Case: Arrow's Impossibility Theorem 792
192 21.D Some Possibility Results: Restricted Domains 799
193 21.E Social Choice Functions 807
194 21 Exercises 812
195     Ch 22 Elements of Welfare Economics and Axiomatic Bargaining 817
196 22.A Introduction 817
197 22.B Utility Possibility Sets 818
198 22.C Social Welfare Functions and Social Optima 825
199 22.D Invariance Properties of Social Welfare Functions 831
200 22.E The Axiomatic Bargaining Approach 838
201 22.F Coalitional Bargaining: The Shapley Value 846
202 22 Exercises 850
203     Ch 23 Incentives and Mechanism Design 857
204 23.A Introduction 857
205 23.B The Mechanism Design Problem 858
206 23.C Dominant Strategy Implementation 869
207 23.D Bayesian Implementation 883
208 23.E Participation Constraints 891
209 23.F Optimal Bayesian Mechanisms 897
210 Apdx A Implementation and Multiple Equilibria 910
211 Apdx B Implementation in Environments with Complete Information 912
212 23 Exercises 918
213 MATH 926
214 M.A Matrix Notation for Derivatives 926
215 M.B Homogeneous Functions and Euler's Formula 928
216 M.C Concave and Quasiconcave Functions 930
217 M.D Matrices:Negative (Semi)Definiteness and Other Properties 935
218 M.E The Implicit Function Theorem 940
219 M.F Continuous Functions and Compact Sets 943
220 M.G Convex Sets and Separating Hyperplanes 946
221 M.H Correspondences 949
222 M.I Fixed Point Theorems 952
223 M J Unconstrained Maximization 954
224 M.K Constrained Maximization 956
225 M.L The Envelope Theorem 964
226 M.M Linear Programming 966
227 M.N Dynamic Programming 969
228 Index 971