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Rapoport A. — N-person game theory: Concepts and Applications
Rapoport A. — N-person game theory: Concepts and Applications

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Название: N-person game theory: Concepts and Applications

Автор: Rapoport A.

Аннотация:

Game theory is properly a branch of mathematics. As such it is concerned with assertions which can be proved to be true if certain other assertions are true. This way of establishing truth by reference to assertions previously established as true would lead to infinite regress unless certain fundamental assertions were simply accepted as true (without proof). These basic assertions are called axioms. Assertions whose truth is derived by logical proof are called theorems. Game theory, like any other mathematical theory, is essentially a collection of theorems derived from axioms...


Язык: en

Рубрика: Математика/

Серия: Сделано в холле

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 345

Добавлена в каталог: 04.12.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
"Anti-competitive Theory"      292
"Anti-competitive Theory", hypothesis      297
"Credibility"      283
"Edgeworth game"      199
"Good faith"      283
"So Long Sucker"      271—283
$\psi$-stability, of quota games      231
$\psi$-stability, theory of      140 142 146 192—193 248 280—287 294
Abstraction      50—53
Abstraction, levels of      53
Actor(s), identity of      304—305 n316
Actor(s), rational      304
Adams, John Quincy      298
Addition      21
Adler, Claire      7
Agreement      65
Agreement, binding      193
Algebra      13
Algebra, algebraic equations, solution of      52
Algebra, operations of      19
Alternatives      53—54 57 68
Analysis, of situations      47
Analysis, of situations, game-theoretical      45
applications      183—184
Applied science      183
Arbitration      168
Arithmetic      13
Arithmetic, fundamental operations of      15 19
Arkoff, A.      n316
Aumann, R.J.      n313
Axioms      11 12
Axioms, consistency of      12
Axioms, satisfied by Shapley value      109
Balance of power principle      305—306
Bargaining      146 172 178 n313
Bargaining leverage      168
Bargaining positions      105 113 123 132
Bargaining power      107 109 130 133
Bargaining process      172
Bargaining set      114—124
Bargaining set model, experimental test of      266
Bargaining strategies      180
Behavioral strategy      n312 see
Beneficiary, benefactor      231
Binary operation      24
Bott, Raoul      220 n315
Braithwaite, R.B.      n314
Branch point      54 70—71
Business      45 see
Cabinet wars      306
Calculus      13
Campbell, P.      250
Card shuffling      n311
Cartels      234
Cartesian product      24—28
Categorical imperative      306
Chance      48 n311
Chance as player      54 56
Chance, events      46
Chance, games of      48
Characteristic function      38 83 90 93 108 110—111 113 166 179 200
Characteristic function form      53 145
Characteristic function in normalized form      85
Characteristic function of "So Long Sucker" game      282
Characteristic function of a game      33
Characteristic function of a large market game      200 205
Characteristic function of a non-constant-sum game      169 200
Characteristic function of Left-Right game      97
Characteristic function of proper game containing a dictator      213
Characteristic function of two-person game      169
Characteristic function, in essential game      85
Characteristic function, non-super-additive properties of      83 121
Characteristic function, normalized      115
Characteristic function, properties of      79
Characteristic function, suitable      179
Characteristic function, super-additive properties of      81 134 207 230
Chess      47 61 64—65
Chess, theory of      61
Choice      54 70
Choice, conditionality of      56
Choice, coordinated      76
Choice, probability of      56
Choice, range of      48
Choice, rational      87
Choice, sequential      67
Choice, simultaneous      74
Choice, strategic      49 87
Clay, Henry      298
Closed corporations      289
Coalition formation      113 122 124
Coalition formation, expected      66 122 289 293
Coalition formation, likely      269 286—287
Coalition formation, order of      107
Coalition formation, sporadic      306
Coalition formation, strategic considerations of      220
Coalition formation, theories of      287
Coalition structure      114 116 119 122 138 140 146 235 287
Coalition structure, changes in      141
Coalition structure, expected      122
Coalition structure, inducement to change      140
Coalition structure, prescribed      135
Coalition structure, rational      122
Coalition structure, restrictions on      146
Coalition, counter-      76 79 83 145 235 238
Coalition, counter-, failure to form      145
Coalition, counter-, rational      81
Coalition, grand      78 81 91 106—107 114—116 120 131—132 134 138 147 149 157 203 235 243 305
Coalition, grand, as only winning coalition      210
Coalition, grand, experimentally observed      267
Coalition, grand, motivations to leave      137
Coalition, grand, unstable      206
Coalition, grand, value of game to      78 84
Coalition, members, admitting      138
Coalition, members, cohesion of      234
Coalition, members, enticing      117
Coalition, members, excluding      117
Coalition, members, expelling      138
Coalition, members, inducing to join      139 193
Coalition, members, inducing to leave      91
Coalition, members, joining      127
Coalition, members, leaving      125—126
Coalition, members, luring away      91
Coalition, members, recruiting      290
Coalitions      33—34 39 41 65—66 68 76 79 82 88 101 107 114 125 145 171 200 see winning"
Coalitions in small market      187
Coalitions of two players      115
Coalitions of weaker players      270 297
Coalitions, "raiding"      141
Coalitions, balanced      128
Coalitions, blocking      208 210 213 218
Coalitions, communication channels in      122
Coalitions, complementary      33 see counter-"
Coalitions, disrupting pressures in      107
Coalitions, empty      107
Coalitions, flat      223
Coalitions, friendship ties      122
Coalitions, habits      122
Coalitions, incentive for preserving      128
Coalitions, losing      208—209 213
Coalitions, payoff to      288
Coalitions, players' contribution to      109
Coalitions, players' expected prospects      108
Coalitions, potential      146 171 305
Coalitions, power of      207 211 234 241 287
Coalitions, power relations of      303
Coalitions, preference for partner      122 124
Coalitions, prospective      91
Coalitions, restrictions on realignments      143 192 309
Coalitions, stability of      116 123 138
Coalitions, stable pair      140 142—143 192
Coalitions, stable payoff configuration in      n313
Coalitions, value of game assigned to each      148
Coalitions, value of game to      77 83 125 220 241
Coalitions, weak vs. strong      290—291
Coalitions, winning      207 209—210 213 215 217 227 288
Coalitions, winning, in UN Security Council      216
Coalitions, winning, minimal      212 220 227 289 295
Coalitions, winning, minority as      211
Coalitions, winning, of product game      214
Coalitions, winning, of sum of games      214
Coalitions, with sellers      144
Coherence of group      293
Combined strategy choices      58 see
Committee      185 209 211—212
Commodity, transferable-and-conservative      66 76 88
Common sense considerations      46
Commutative law, of addition, of multiplication      19
Competition      204 287 302
Competition, competitive advantage      308
Competition, competitors      45
Competition, free      202
Complement      16 20—21 23
Complement of a set      32
Complement, operations of      20
Compromise, reasonable      65
Conflict situations      46—47 52 56 96 286 294 301 305 310
Conflict situations, logical structure of      302
Conflict, decision making in situations of      46 see
Conflict, experiments in      310
Conflict, human      310
Conflict, minimization of      293
Conflict, resolution      305
Conflict, resolution, equitable      308
Conflict, settlement of      66
Conflict, strategic      45
Contact curve      197—198 202
Control, predict, ability to      184
Controlled experiments      185
Cooperation, inducement to      135
Cooperator, single      80
Coordinate system      35
Core      90 114 137 140 151 171 187—189 191 193—194 309 n312
Core artificial      309
Core defined for games in partition function form      151
Core empty      90—92 114 116 138 206
Core of a large market game      203
Core stability of      96
Cost-accounting      304
Crawford, William H.      298
Criteria, epistemological      183
Criteria, utilitarian      184
Davis, M.      n313—314
decision makers      45—46 48—49 301 303
Decision making in conflict situations      46 58 286
Decision theory      14
Decision(s)      67
Decision(s), deferring of      56
Decision(s), effective      49
Decision(s), effective, in conflict situations      58
Decision(s), effective, strategic      58
Decision(s), rational      46 49 56
Decision(s), rational, theory of      45
Deduction      12
Deduction, rules of      25
Defector, single      80
Defector, single potential      246
Derived game      241
Descriptive behavior theory      136
Deterrence      306
Diehards      246 see
Disagreement payoff vector      171—172 see
Distributive law of multiplication      20
Divide-the-Dollar game      119—120 n313
Divide-the-Dollar game, bargaining set of      119—120
Dividends, conditional      175—177
Dividends, conditional negative      173
Dividends, conditional unconditionally guaranteed      177
Domination      29 94—95 see dominated dominating"
Domination defined for games in partition function form      150
Domination relation      93
Domination via a subset      93
Domination, mutual      226
Edgeworth, F.Y.      196 198 202 n315
Egalitarian standard      235 see
Electorate      212
Elements      22
Elements of a set      24
Elements, an element      14
enemies      45
Entities, distinguishable      21
Equations, algebraic      42
Equations, algebraic differential      13
Equations, algebraic identity of      37
Equations, algebraic linear      50
Equations, algebraic quadratic      51
Equations, algebraic solutions of      52
Equations, algebraic theory of      52 62
Equilibrium(ia)      63—65 73 75 128 158
Equilibrium(ia), entries      73
Equilibrium(ia), in configurations      128
Equilibrium(ia), of players      136
Equilibrium(ia), outcomes      64 158
Equilibrium(ia), states      141
Equilibrium(ia), strategies      158
Equity principle      113 133
Ethical convictions      123
Excess      125
Excess inducement in coalitions      126
Excess, maximal      127
Experimental science      185
Experimental science, "hard"      185
Experiments, in N-person games      254
Experiments, in N-person games suggested by game theory      308
Extra strategic considerations      123 see
Factorial      40
Failure of negotiations      164
Failure of negotiations to agree      162 168 173 175
flexibility      56
Foreign policy, design of      305
French National Assembly      250—251
Functional notation      31
Functions      30—31
Functions of a certain set      40
Functions, argument of      30 40
Functions, derivation of      37
Functions, domain of      30
Functions, range of      30
Functions, value of      30—31
Game experiment      185
Game of perfect information      54
Game of perfect information in Three-person zerosum      68
Game of perfect information in Two-person zerosum      61
Game of perfect information without information      61
Game theory, "higher"      307
Game theory, applications      183
Game theory, experiments suggested by      308
Game theory, scope of      46
Game tree      53—54 57 59
Game(s), $\psi$-stable      231 see
Game(s), addition of      214
Game(s), as composite of two games      110—111
Game(s), characteristic function of      33 78—79 see
Game(s), compound      216
Game(s), constant-sum      33 85 115 147 309 see non-zerosum" "N-person" "Three-person" "Two-person zerosum"
Game(s), constant-sum in characteristic function form      169
Game(s), constant-sum in normal form      65
Game(s), cooperative      159 see "Two-person"
Game(s), cooperative, solutions of      167
Game(s), derived      241
Game(s), difference-of-payoffs-game      166
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