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| Intriligator M.D. — Mathematical optimization and economic theory |
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| Предметный указатель |
Activity analysis production function 187
Adaptive control 302
Additive utility function 170
Admissible trajectory 295 307
Aggregative economy 399
Altruists’dilemma 134
Average product 184
Balance equations 228
Balanced growth, economy 248
Balanced growth, path 410
Balanced growth, path solution 427
Bang-bang, control 358
Bang-bang, principle 358
Basic feasible solution 91
Basis 459
Battle of the sexes 135
Bellman’s equation 329
Bernoulli utility function 148
Bertrand solution of duopoly 217
Bliss point 282
Bordered Hessian 36
Boundary 455
Boundary, point 455
Bounded set 456
Bounding, faces 74
Bounding, hyperplane 461
Brachistochrone problem 298 338
Budget, constraint 148
Budget, line 149
Calculus of variations 306—325 330—333 353—355
Canonical equations 350
Capital good 417
Capital per worker 401
Cartesian product 452
Catenary 322
Cayley — Hamilton theorem 494
Characteristic, equation 493
Characteristic, function 124
Characteristic, root 493
Characteristic, vector 342
Classical programming 10 20—43
Closed economy 399
Closed loop control 300
Closed set 455
Closure of a set 455
Coalition 123
Cobb — Douglas production function 187
Cobweb model 250
Coefficient constants 73
Coefficients of production 228
Cofactor 486
Commodity 142
Commodity bundle 142
Commodity space 142—143 269
Commodity, complementary 162
Commodity, composite 171
Commodity, Giffen 159
Commodity, gross substitute 242
Commodity, inferior 159
Commodity, normal 159
Commodity, substitute 162
Commodity, superior 159
Compactness 456
Comparative statics of the firm 196—201
Comparative statics of the household 154—163
Compensated change in price 156
Competition among the few 205
Competitive economy 222
Competitive equilibrium 274
Competitive equilibrium and Pareto optimality 269—278
Complementary slackness, conditions 53 83
Complementary slackness, theorem 83—84
Complementary, commodity 162
Complementary, input 201
Complete preordering 144
Composite commodity 171
Concave programming 46
Conjectural variation 207
Constant difference game 108
Constant elasticity of substitution (CES) production function 189
Constant elasticity utility function 148
Constant returns to scale 181
Constant sum game 111
Constant sum game in characteristic function form 105
Constrained variation 40
Constraint constants 10 20 45 73
Constraint functions 10 20 44
Constraint qualification condition 57
Consumer sovereignty 258
Consumption program 280
Continuity see also "Upper and lower semicontinuity"
Continuity of a correspondence 457
Continuity of a function 457
contour 22 46 75
Contract curve 265
Control problem 292—305 293 294
Control set 295
Control trajectory 294
Control vector 294
Convex combination 461
Convex cone 460
Convex function 462
Convex hull 461
Convex polyhedral set 74 461
Convex polyhedron 74 461
Convex set 460
Convex, strictly convex set 461
Cooperative games 108 123—130
Coordination game 120 383—387
Core 127
Corner 312
Correspondence 454
Cost curve 193—194
Costate variable 346
Cournot analysis of duopoly 207
Cramer’s Rule 489
Curve fitting using the minimax criterion 101
Decreasing returns to scale 181
Degenerate problem 100
Degrees of freedom 21
Demand functions 153
Demand functions, input 191
Demand functions, Tornquist 171
Demand, elasticity 162
Demand, excess 239
Demand, kinky 218
Demand, market 174
Depreciation rate 406
Descriptive economics 4
Determinant 484
Diet problem 100
Differentiable function 465
Differential 466
Differential equation 467
Differential equation, autonomous system 469
Differential equation, order 467
Differential equation, ordinary 467
Differential games 370—395
Differential games of kind (or survival) 392
Differential games, continuous 370
Differential games, coordination 383
Differential games, deterministic 370
Differential games, discrete 370
Differential games, goal-keeping 390
Differential games, noncooperative 387
Differential games, pursuit 377
Differential games, stochastic 370
Differential games, two-person deterministic continuous 371—373
Differential games, two-person zero-sum 373—377
DIMENSION 459
| Discount, rate 406
Discriminating monopolist 217
Dispersal surface 383
Distance, Euclidean 454
Dominant diagonal theorem 494
Dominant strategy 134
Dual problem 69 77—79
Duality theorem 81—83
Duopoly 207—213
Duopoly, Bertrand solution 217
Duopoly, Cournot analysis 207
Duopoly, Stackelberg analysis 210
Dynamic model of a missile war 391
Dynamic programming 326—343 355—357
e-neighborhood 455
Economic region 179
Economics 4—6
Economizing 2—6
Economy 3—6
Economy-wide input-output vector 271
Economy-wide production possibilities set 271
Edgeworth — Bowley box diagram for distribution 264
Edgeworth — Bowley box diagram for production 261
Effective set of players 127
Efficiency frontier 423
Efficiency in production 261
Elasticity 465
Elasticity of demand 162
Elasticity of marginal utility 406
Elasticity of output 182
Elasticity of production 181
Elasticity of substitution 182
Empty set 451
Equations of motion 295
Equilibrium 239
Equilibrium point 469
Equilibrium point of a game 122 376
Equilibrium point, asymptotically stable 469
Equilibrium point, stable 469
Equilibrium point, unstable 469
Equivalence class 453
Euclidean n space 452
Euler equation 308—311 314
Euler’s theorem 467
Excess demand 239
Existence theorem 80—81
Externalities 279
Extremal 310
Extreme point 461
Factor intensity reversals 421
Factor price frontier 214
Fair game 131
Farkas’ theorem 492
Feasible state trajectory 295
Final function 296
Firm 5 178—220
Fixed point 457
Fixed point, Brouwer fixed point theorem 457
Fixed point, Kakutani fixed point theorem 457
Focal point 272
Free disposal 272
Free factors 236
Free good 277
Frobenius theorem 495
Function 453
Function of n variables 454
Function of n variables, linear form 454
Function of n variables, quadratic form 454
Function, additive 458
Function, concave 463
Function, continuous 456
Function, continuously differentiable 465
Function, convex 462
Function, differentiable 465
Function, domain 453
Function, exponential 453
Function, homogeneous of degree h 467
Function, image 453
Function, implicit 499
Function, inverse 453
Function, linear 453
Function, logarithmic 453
Function, one-one 453
Function, onto 453
Function, polynomial 453
Function, quasi-concave 464
Function, quasi-convex 464
Function, range 453
Function, real-valued 453
Function, strictly concave 463
Function, strictly convex 463
Function, strictly quasi-concave 464
Function, strictly quasi-convex 464
Function, subadditive 459
Function, superadditive 459
Functional 454
Fundamental differential equation of neoclassical growth 402
Fundamental efficiency condition 432
Fundamental inequality 22 26 47
Fundamental lemma of the calculus of variations 310
Fundamental matrix equation of the theory of the firm 198
Fundamental matrix equation of the theory of the household 157
Fundamental recurrence relation 329
Game 106
Game in extensive form 108
Game in normal form 109
Game of chicken 121
Game with infinitely many players 130
Game, against nature 133—134
Game, constant difference 108
Game, constant sum 111
Game, cooperative 108 123
Game, coordination 120 383—387
Game, core 127
Game, equilibrium point 120 376
Game, fair 131
Game, imputation 126
Game, matrix 111
Game, move 107
Game, Nash cooperative solution 123
Game, negotiation set 124
Game, noncooperative 108 387—388
Game, nonstrictly determined 113
Game, nonzero-sum 108
Game, odd man out 136
Game, payoff 106
Game, payoff frontier 124
Game, payoff function 106
Game, payoff matrix 109
Game, play 107
Game, player 106
Game, pursuit 377—383
Game, saddle point 112
Game, Shapley value 129
Game, strictly determined 113
Game, theory 106—138
Game, threat payoff 123
Game, tree 108
Game, two-person nonzero-sum 120—123
Game, two-person zero-sum 110—119
Game, value 113
Game, zero-one normalized form 126
Game, zero-sum 108
General equilibrium 222—259
General equilibrium, classical approach 221—227
General equilibrium, input-output linear programming approach 227—238
General equilibrium, neoclassical excess demand approach 238—241
Giffen commodity 159 171
Global maximum 12
Globally stable equilibrium 242
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