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| von Neumann John, Morgenstern Oscar — Theory of games and economic behavior |
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| Предметный указатель |
Game, three-person, simple majority of 222 ff.
Game, totally symmetric 257
Game, totally unsymmetric 257
Game, unique 331
Game, vacuous 116 546
Game, value of the 102 103 170 516
Game, weighted majority, homogeneous 444
Game, zero-sum extension of 529
Game, zero-sum four-person 291 ff.
Game, zero-sum n-person 48 85 238
Game, zero-sum three-person 220 ff. 260
Game, zero-sum three-person, solution of essential 282 ff.
Game, zero-sum two-person 48 85 116 169 176
Game, “inflation” of a 398
Geometry 20 74 76
Geometry, linear 428
Geometry, plane, 7-point 469
Geometry, projective 469
Good way (strategy) 103
Good way to play 108 159
Goods, complementary 437 628
Goods, divisible 560 573
Group 22 76 255
Group (of players), privileged 320
Group of permutations 256
Group theory 256 258 295
Group, alternating 258
Group, invariance 257
Group, set-transitive 258
Group, symmetric 256
Group, totally symmetric 257
Group, totally unsymmetric 257
Half-space 130 137 139
Hand 53 186 187 190 197 613
Hands, discrete 208
Hausdorff, F. 61 269 595
Heat 3 17 21
Heisenberg, W. 148
Hereditary 454
Heredity 396 400
Heuristic 7 25 33 120 238 263 291 296 298 301 302 307 316 318 322 333 499 509 511 587
Heuristic argument 147 181 182 227
Higgling 557 558
Hilbert, D. 74 76 630
Homo oeconomicus 228
Homogeneity 433 464
Hurwicz, L. vi
Hyperplane 130 137 139
Hyperplane, supporting 134 ff.
Identity 255 617
Imbedding 398 399 400 455 587
Imputation 34 37 39 240 251 263 264 350 376 437 517 520 527 566 577 587 606 610
Imputation, composition of 359
Imputation, decomposition of 359
Imputation, detached 369 370 375 413
Imputation, detached extended 370 375
Imputation, detached extended, fully 370 372
Imputation, detached, fully 369 413
Imputation, economic concept of 435
Imputation, extended 364 ff. 367 368 369 372
Imputation, single 34 36 37 39 40
Imputation, unique 608
Imputations, extended, sets of 368
Imputations, finite set of 465 499
Imputations, infinite set of 288 499
Imputations, isomorphism between 282
Imputations, set of 34 44 608
Imputations, system of 36 277 464
Incomparable 590 630
Indecomposability 357 [630 631 632]
Indifference curves 9 16 19 20 27 29
Indifference of player 300
Indirect proof 147
Individual planning 15
Induction 112 116
Induction, complete 113 123
Induction, finite 597
Induction, transfinite 598
Inessential games 44
Inessentiality 249 272 351 357 454
information 47 51 54 55 56 58 67 71 109 112 183
Information, absurd 67
Information, actual 67 79
Information, chance 182
Information, complete 30 541 582
Information, imperfect 30 182
Information, incomplete 30 86
Information, pattern of 67 69
Information, perfect 51 123 124 164 233
Information, perfect, verbal discussion 126
Information, player's actual 75
Information, player's pattern of 75
Information, sets of 77
Information, umpire's actual 75
Information, umpire's pattern of 75 77
Information, umpire's state of 115
Initiative 189 190
Inner triangle 409 413 553
Interaction 341 366 400 483
International trade 7 341
Interval, linear 131
Intransitivity 39 52
Inverted signaling 54
Irrational 128 523
Isomorphic correspondence 281
Isomorphism 149 350 504
Isomorphism proof 281
Just dues 360 361
Kakutani, S. 154
Kaplanski, I. vi
Kepler 4
Kernel 457
Killing the variable 91
Koenig, D. 60
kronecker 129
Laisser faire 225
Linear interpolation 157
Linear transformation 22 23
Linearity 128 ff.
Lipschitz 493
Lipschitz condition 493
Logic 62 66 74 274
logistic 66
Loomis, L.H. vi
Losing 421 426
loss 33 128 145 163 167 168 205 539 555 559 629
MacLane, S. 340
Main condition 273 274 279
Main Theorem 153
Majorities, weighted 432
Majority game, homogeneous 443
Majority game, homogeneous weighted 444 463 469
Majority game, weighted 433 464
Majority principle, homogeneous weighted 467 469
Majority, principle of 431
Majorization of rows or columns 174 180
Mapping 22 618
Marginal pairs 560 562 563 564 571 581
Marginal utility school 7
Market 47 504 556 557 560 563 581 605
Market, general 583
Market, three-person 564
Market, two-person 555
Marschak, J. vi
Mass 20 21
Matching pennies 111 143 144 164 166 169 176 178 185
Matching Pennies, generalized forms 175 ff.
Mathematical Method in Economics 1—8
Mathematical Method, difficulties of 2
Mathematical physics 303
| Mathewson, L.C. 256
Matrix scheme, diagonal of the 173
Matrix, arbitrary 153
Matrix, diagonal of 173 174
Matrix, elements 93 138 141
Matrix, negative transposed 141 142
Matrix, rectangular 93 138 140 141
Matrix, skew symmetric 142 143 167
Max operations 89 ff.
Maximum 88 89 591 593 594
Maximum problem 10 11 13 42 86 87 220 504 517 555
Maximum satisfaction 10
Maximum, absolute 591 593
Maximum, collective benefit 513 514 541 613
Maximum, relative 592
Measurability 16 343
Measure, additive 343
Measure, mathematical theory of 252 343
Measurement, principles of 16 20
Mechanics 4
Menger, C. 564
Menger, K. 28 176
Method, mathematical 322
Method, saturation 446
Min operations 89 ff.
Min-max problem 154
Minimal elements of W 430 448
Minimum 88 89
Mistake 162 164 205
Mixing the deck 185
Models, axiomatic 74
Models, economic 12 58
Models, mathematical 21 ff. 32 43 74
Mohs 22
money 8 10
Monopolist 474
Monopoly 13 474 543 584 586 602 603
Monopsony 584 586 602 603
Monotone transformations 23
Morgenstern, O. 176 178
Morse, M. 95
Motivation 43
Move, chance 50 69 75 80 83 112 118 122 124 126 183 185 190 517 604
Move, chance, removing of 183
Move, dummy 127
Move, impossible 72
Move, in a game 49 55 58 59 72 98 109 111
Move, of the first kind 50
Move, of the second kind 50
Move, personal 50 55 70 75 112 122 126 183 185 190 223 508 510
Negation 66
Negotiations 263 534 541
New Theory, characteristic function in the 348
New Theory, decomposability in the 351
New Theory, dominations in the 350
New Theory, essential three-person game in the 403 ff.
New Theory, essentiality in the 351
New Theory, imputations in the 350
New Theory, solutions in the 350
New Theory, unessentiality in the 351
Newton 4 5 6 33
Normal zone 396 399 401 417
Numerical utilities axiomatic treatment of 24 (See also “Utility numerical”)
Numerical utility 17 (See also “Utility numerical”)
Numerical weight 432
Offensive 164 205
Oligopoly 1 13 47 504
Opposition of interest 11 220 484
Optimality, permanent 162 205
Optimum 38
Optimum Behavior 34
Order of society 41 43 “Standard
Ordering 19 37 38 589
Ordering, complete 19 26 28 589 591 593 595 600 617
Ordering, partial 590 591 600
Ordering, well 595
Oreographical 95 97
ORGANIZATION 224 328 366 401 419
Organization, social and economic 41 43 225 318 319 329 358 362 365 402 436 471
Organization, social, complexity of 466
Origin (point in space) 129
Outside source 363 364 366 375 419
Overbid 186 (See also “Poker”)
Parallelism of interests 11 220 221
Pareto, V. 18 23 29
Partial ordering 590 (See also “Ordering”)
participants 31 33
Partition 60 63 64 66 67 69 84 114
Partition, decomposition 353 354 356 357 457 471
Partition, logistic interpretation 66
PASS 95 97
Passing see “Poker”
patience 86
Per absurdum proof 147 148
Permutation 255 262 294 309 319
Permutation, cyclic 230 470
Perturbations 303 341
Physical sciences 21 23 32 43
Physics 2 3 4 45 76 148 401
Planning 86
Plateau, rectangular 97
Plausibility considerations 7
Play 49 59 71
Play, actual 82
Play, course of the 68 70 84
Play, individual identity of the 71
Play, outcome of the 82
Play, sequence of choices 49
Play, value of a 104 105 124 127 150 163 165 178 238
Player, chief 473 474 481 483 500 502
Player, chief, segregated 500 502
Player, composite 231 232 239 516
Player, defeated 418
Player, discriminated 476 502
Player, excluded 289 301 512
Player, fictitious 505 506 507 508 509 511 513 514 516 518 537
Player, found out 146
Player, indifferent 299
Player, isolated 375
Player, privileged 473
Player, segregated 476 502 503
Player, self-contained 353 357
Player, splitting the 86
Player, unprivileged 320
Player, victorious 426
Players, interchanging the 104 109 122 165 255
Players, permutation of the 294 463
Players, privileged group of 320 464
Players, removable sets of 533
Players, strategies of the 49 (See also “Strategy”)
Playing appropriately 102 103 107 159 167
Plays, set of all 75
Poker 52 54 56 58 59 164 168 186 187 557 613
Poker, bids 209
Poker, draw 187
Poker, general forms of 207
Poker, good strategy 196
Poker, interpretation of the solutions 218
Poker, mathematical description of all solutions 216 ff.
Poker, overbidding 188 190
Poker, passing 188 190 191 199
Poker, seeing 188 190 191 199 218
Poker, solution 199 202 204
Poker, strategies 191
Poker, stud 187
POSITION 21
Positive octant 133
Positive quadrant 133
Postulates 27 (See also “Axioms”)
Preferences 15 17 18 23 522 590 607 630
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