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Intriligator M.D., Arrow K.J. — Handbook of Mathematical Economics (vol. 1)
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Название: Handbook of Mathematical Economics (vol. 1)Авторы: Intriligator M.D., Arrow K.J. Аннотация: 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.
Язык: Рубрика: Экономика и финансы /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1981Количество страниц: 378Добавлена в каталог: 01.03.2007Операции: Положить на полку |
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Предметный указатель
"Almost everywhere" property 179 "Darwinian" selection function 274—277 103 105 103 175 171 175 177 190 30 19 56 a-finite set function 175 Absolutely continuous function 192 Absolutely continuous set function 192 Active learning in stochastic control 122 124 133 see Actuarially fair price 230 Adaptive control 111 133—134 Adaptive control, N-period 135 144 Adaptive search 227 Additive set function 173—175 Additive set function, finitely 172 174 Additive uncertainty 125—126 Adverse selection 214 229 Aggregate demand 7 162 207—208 allocation 55 160 344 Allocation, feasible 344 Arc-connected metric space 36 Arrow — Debrcu theorem 364 Ascoli's theorem 33 Asymptotically stable equilibrium 105 Asymptotically stable equilibrium, locally 00 Atomless measure space 161 179 207 Atomless probability measure 161 Auctions and bids 317 Balanced family of subsets 301 Balanced game 300 Bargaining point 303 Bargaining set 299 303 321 Bilateral monopoly 315—316 Bolzano — Weierstrass property 31 Boolean algebra 170 Bordered Hessian Theorem 63 Borel sets class of 172 Borel — Cantelli lemma 224 Boundary point of a set 21 Bounding hyperplane 38 Brouwer fixed point theorem 4 50 Brownian motion 260—264 267 Budget set 342 344 Business games 316 C-game 299 Cantor intersection theorem 26 Carathcodory's theorem 40 Catastrophe point 108 Cauchy sequence 23 28 Cellina's theorem 368 Characteristic function 292—293 Characteristic function, with side payments 293 Chow's algorithm 151 Classical programming problem 53 59 61 66 76 Classical programming problem, geometric interpretation of 63 Classical programming problem, solution to 62 77 Closed orbit 102—103 Closed set 21 Closed-loop policy 122—124 Closure of a set 21 Coalition 163 178 Commodity bundle 332 Commodity space 332 Compact metric space 30—31 Compact set 30 33 40 47 51 167 198 Comparative statics 76 82 Comparative statics, for the firm 87 Comparative statics, theorem 78 Competitive equilibrium 50 Competitive industry under uncertainty 258—260 Complement of a set 16 Complementary slackness conditions of linear programming 75 Complementary slackness conditions of nonlinear programming 68—69 Complementary slackness theorem 74 81 85 Complete space 23—24 26 31 Composition of functions 16 Concave function 44 56n Concave function, strictly 56n Concave programming 69—70 Conjugate gradient method in control theory 112 Connected metric space 36 Constraint, functions 60 63 66 69n 73 Constraint,constants 60 62 73 Constraint,vector 66 Consumption under uncertainty 236—247 Consumption under uncertainty, multiperiod 242—247 Contingent demand 314 Continuous curve in a topological space 36 Continuous function 28 Continuous function, uniformly 28 Continuum economy 7 162—165 179 196 Contract curve 3 315 Contraction 50 Contraction mapping theorem 50 Contraction mappings 214 Contraction operator 243 Control theory 111 Convergence of points 23 Convergence, almost everywhere 194—195 201 Convergence, almost uniform 194 Convergence, in distribution 200—201 Convergence, in mean 195 Convergence, in measure 194 196 201 Convergence, point-wise 194 Convergence, uniform 194 Convergence, weak 196—197 Convex function 69n Convex function, quasiconvex 70n Convex hull 40—41 Convex set 37—40 51 56 207 Convexity 36—37 Convexity of preferences 162 207—208 Cooperative form (characteristic function form) 286 291—294 Cooperative solutions 299 Core 3 163 299—301 319—321 Core, 299 305 Core, 305 Core, 305 Core, inner core 299 305—306 Core, least core 305 Core, near core 305 Correspondence 205—208 Correspondence between sets 46 Correspondence between sets, a fixed point of 51 Correspondence between sets, composition of 46 Correspondence between sets, cross product of 46 Correspondence between sets, graph of 46 Correspondence between sets, hemi-continuity of 46 Correspondence between sets, is closed 46—47 51 Correspondence between sets, is compact valued 46—49 Correspondence between sets, is continuous 49 Correspondence between sets, is lower hemi-continuous 48 Correspondence between sets, sum of 46 Correspondence between sets, upper hemi-continuity 46—48 Correspondence, integrable selection of 206 Correspondence, integrably bounded 207 Correspondence, integral of 206 Correspondence, measurable 206 Countable set 24—25 Counter objection 303 Cournot, aggregation condition 84 Cournot, duopoly model 290 295 311 Cournot, solution 2 50 Cover of a set 29 Cycles see “Closed orbits” Debreu — Gale — Nikaido theorem 338 Decreasing sequence of sets 26 Degrees of freedom (in linear programming problem) 61 Demand correspondence 49 Demand for cash balances 268—270 Demand for index bonds 270—271 Demand functions 81—82 342 Demand theorem 81—82 Dense set 24—26 37 166 198 Diameter of a set 26 Diffeomorphism 95 356 Diminishing marginal rate of substitution 37 Dirac measure 179 Directional derivative 104 Distribution of a function 199 Domain 15 Domination 302 Dual control see “Adaptive control” Dual problem 73 89 Dual problem, Kuhn — Tucker conditions for 74 Dual problem, Lagrangian function of 73 75 Dual problem, objective function of 75 Dual problem, primal problem to 73 Dual problem, solution to 74—75 Duality theorem 40 74 Duality theory 7 37 Dubins and Spanier's theorem 204—205 Duopoly 311—312 see Dynamic programming 111 Dynamical systems 93—94 111 Effective set 303 Efficient market hypothesis 214 266—267 Endowment allocation 360 Engel aggregation condition 84 Equality constraints 59 Equicontinuous collection of functions 32—33 Equilibrium for an economy 364 367 Equilibrium of dynamical system 97 Equilibrium problem 332 Equilibrium theory 331 Euclidean distance 56n Euclidean metric 17 Evolutionary theory 272 Excess demand 332 Excess of a coalition 304 Exchange economy 160 189 203 Exchange economy, perfectly competitive 160 Exchange economy, pure 41 344 Existence of a maximum 56 Existence of competitive equilibrium 50 Existence of equilibria 331 Existence theorem in linear programming 74 Experience rating 229 Extended price equilibrium 357 Extensive form 285—287 Externalities 322 Factor demand under uncertainty 254 False demand function 346 366 Farrell's speculator model 273 Fatou's lemma 189 Feasible vector (vector of instruments) 55 60 66 Feasible vector, to linear programming problem 72 Feedback policy 122—124 Finite partition 184 First-order conditions for local maximum theorem 57 Fixed point of function 49—50 flexibility 212 Flow of the differential equation 94 Fold catastrophe 109 Fold map 355 Free disposal equilibrium 338 Frobenius theorem 105 Full measure set 335 Function 15 Fundamental matrix equation of the theory of the firm 87 Fundamental matrix equation of the theory of the household 83 Game of pure opposition 306 Game of strategy 285 Game theory 2 6 285 287 Game with continuum of players 295 307 Game with perfect information 288 Gauss map 354 General equilibrium 13 318 Glivenko — Cantelli theorem 202 Global analysis 6 331 Global maximum 44 55—56 Global maximum, strict 55—56 Globally stable equilibria 101—102 106 Gradient method in control theory 112 120—121 143 Gradient system 104 106 109 Gradient system, local catastrophes of 108 Gradient vector 57 59 61 63 71 104 Graph of a function 16 44 Hamiltonian function 106 Hamiltonian system 106—107 Hausdorff's topology 203 Hessian matrix 58 64 78 81 83 88 106 Homeomorphism 28 108 Homeomorphism, ray preserving 337 Homogeneity condition 84 Homogeneous function of degree k 45 Homothetic function 45 Hyperplane 37 Identity mapping 182 Image of a set 55 Imbedding map 354 Imputation 297 Imputation set 296 319 Imputation set, externally stable 303 Imputation set, internally stable 303 Income effect 83 Income expansion path 343 Indifference curves 37 82n Indifference surfaces 340 Indirect utility function 106 Indivisibilities 322 Inequality constraints 66 Inferior inputs 88n Infinite economy 202 Insurance 227 230 Integrable measurable function 187—189 195 206 integral 186 206 Integration period 1 Interior of a set 20 Interior point 20 Inverse image 15 Inverse mapping theorem 334 Isolated community subset 359 Isometric spaces 17 Jacobian matrix 61 64 Jensen's inequality 222 Job search 218 Kakutani fixed point theorem 4 51 207 Kalman filter method 144 149 Kernel solution 299 304 321 Kinked oligopoly curve 313 Krein — Milman theorem 40 42 Kuhn — Tucker conditions 66 68 70—72 74—75 80—81 85 351 Kuhn — Tucker saddle point theorem 69 Lagrange multipliers 1 60—62 65—68 Lagrange multipliers, theorem on 60—61 66 Lagrangian function 60 65 67—68 73 Lebcsque measure 177—178 200 Lebesque number 30—31 Lebesque's theorem 189 Lebesque's theorem, generalization of 202 Level set 104 Liapunov function 101—102 Liapunov's theorem 180 204 207 Limit economies 183 200 202 204 Limit of a sequence 23 Limit point of a set 21
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