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Intriligator M.D. — Mathematical optimization and economic theory
Intriligator M.D. — Mathematical optimization and economic theory

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Название: Mathematical optimization and economic theory

Автор: Intriligator M.D.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 529

Добавлена в каталог: 04.12.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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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