√лавна€    Ex Libris     ниги    ∆урналы    —татьи    —ерии     аталог    Wanted    «агрузка    ’удЋит    —правка    ѕоиск по индексам    ѕоиск    ‘орум   
blank
јвторизаци€

       
blank
ѕоиск по указател€м

blank
blank
blank
 расота
blank
Aubin J.- P., Wilson S. Ч Optima and Equilibria: An Introduction to Nonlinear Analysis
Aubin J.- P., Wilson S. Ч Optima and Equilibria: An Introduction to Nonlinear Analysis



ќбсудите книгу на научном форуме



Ќашли опечатку?
¬ыделите ее мышкой и нажмите Ctrl+Enter


Ќазвание: Optima and Equilibria: An Introduction to Nonlinear Analysis

јвторы: Aubin J.- P., Wilson S.

јннотаци€:

Advances in game theory and economic theory have proceeded hand in hand with that of nonlinear analysis and in particular, convex analysis. These theories motivated mathematicians to provide mathematical tools to deal with optima and equilibria. Jean-Pierre Aubin, one of the leading specialists in nonlinear analysis and its applications to economics and game theory, has written a rigorous and concise - yet still elementary and self-contained - text-book to present mathematical tools needed to solve problems motivated by economics, management sciences, operations research, cooperative and noncooperative games, fuzzy games, etc. The book contains numerous exercises and problems: the latter allow the reader to venture into areas of nonlinear analysis that lie beyond the scope of the book and of most graduate courses.


язык: en

–убрика: ћатематика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

»здание: 2nd edition

√од издани€: 1998

 оличество страниц: 460

ƒобавлена в каталог: 05.04.2008

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
blank
ѕредметный указатель
Accepted, multilosses      198 218
Accepted, multistrategies      197
Action game      216
Affine      21
Aggressive strategy      112
allocation      169
Approximate minimisation      15
Arrow Ч Debreu Ч Nash Theorem      192
Asymptotic, centre      315 364Ч365
Asymptotic, cone      51
Atomicity axiom      219 231 302
Average fitness      207
Average gain      208
Balanced, family      166 198
Balanced, game      199 227
Balanced, growth      180
Balancing      166 202 227
Banach      34
Banach Ч Picard Fixed-point Theorem      18 417
Barrier cone      51Ч52 408
Battle of the sexes      115
Behaviour, non-cooperative      189Ч190
Behaviour, profile      213
Behavioural quantity      213
Best approximation theorem      28
Best compromise solution      195
Biconjugate      36 37
Biloss mapping      107
Bistrategy      102
Bistrategy, consistent      103
Broad Separation Theorem      31
Brouwer's fixed-point theorem      104 141 143 162 418
Canonical decision rule      108 192
Caratheodory's theorem      243
Caristi's Fixed-point Theorem      17
Change function      173
Clarke differentiable      88
Coalition      196Ч197 211
Coalition, equilibrium      216
Coalition, fuzzy      212
Coalition, generalised      213
Coalition, social      214
Collective, Budgetary rule      174
Collective, stability      109
Commodity      168 179
Complement (of a toll set)      53
Completeness      15
Concave      21
Cone, asymptotic      51
Cone, barrier      51Ч52 408
Cone, contingent      274
Cone, negative polar      48 317
Cone, normal      60 70Ч73 97Ч98 411Ч413
Cone, tangent      60 70Ч73 97Ч98 332 380Ч383 411Ч413
Conjugate function      37 43Ч48 247Ч256 406Ч407
Conservative, strategy      110Ч111 126 130Ч134 194
Conservative, vector      111
Consistent      189
Consistent, bistrategy      103
Consistent, multistrategies      189
Constraints      80Ч82 99 192
consumption      168
Contingent, cone      274
Contingent, epiderivative      271
Continuous partition of unity      135Ч137 141
Continuously differentiable      88
Contraction      18
Convex function      21Ч34 242Ч247 403 405Ч406
Convexification strategy      105Ч106
Cooperative game      197Ч209 211Ч233 299Ч302
Coordination game      115
Core      197 198 223 224 226Ч233
Core (of a toll set)      53
Cournot's Duopoly      116Ч123
Cournot's equilibrium      119
Cyclically monotone set-valued map      260
Debreu Ч Gale Ч Nikaido theorem      148Ч149
Decentralisation, price      82Ч84 167 173
Decentralised, price      169
Decision rule      102Ч104 120 189
Decision rule, canonical      108 192
Decision rule, optimal      137Ч142
Decision rule, Stackelberg      121
Demand map      170 346 400
Derivative, Clarke directional      87
Derivative, right      62 88 410
Differentiable, Frechet      88 92
Differentiable, Gateaux      62 92
Dirac measures      53
Disjunct      33
Domain      10 403
Domain (of a toll set)      53
Dual problems      36 77
Duality      325 374
Duality interval      126
Economic equilibrium      167Ч179 287Ч291
Efficiency axiom      219 231 302
Eigen Ч Schuster's hypercycle      208
Ekeland's Theorem      15
Epigraph      10Ч11 403
Equilibrium of replicator systems      206
Equilibrium, coalition      216
Equilibrium, Cournot      119
Equilibrium, economic      167Ч179 287Ч291
Equilibrium, Nash      108 190
Equilibrium, non-cooperative      108 119 190
Equilibrium, social      192
Equilibrium, Stackelberg      121Ч123
Equilibrium, state      216
Equilibrium, static      102
Equilibrium, Walrasian      170 346 399
Euler Ч Lagrange inclusion      78
Evaluation function      106
Evolutionary stable equilibrium      206
Exchange economy      168
Existence of zeros of set-valued map      150Ч152 417Ч422
Extremal point      255
Fenchel's Theorem      39Ч43 321 370
Fermat      57
Fermat's rule      58 76Ч80 99 329 377
Finite game      112Ч116
Fisher Ч Wright Ч Haldane's model      207
Fitness matrix      207
Fixed-point theorem      154Ч155
Fixed-point theorem, Banach Ч Picard      18 417
Fixed-point Theorem, Brouwer's      104 141 143 162 418
Fixed-point theorem, Caristi      17
Fixed-point theorem, Kakutani      154
Fixed-point theorem, Kakutani Ч Fan      155
Frechet differentiable      88 92
Function, change      173
Function, conjugate      37 43Ч48 247Ч256 406Ч407
Function, convex      21Ч34 242Ч247 403 405Ч406
Function, evaluation      106
Function, gamma-convex      318 368
Function, indicator      10 404
Function, locally Lipschitz      87Ч99 270Ч277 403
Function, loss      106
Function, lower semi-compact      13Ч15 403
Function, lower semi-continuous      11Ч13 37Ч39 403
Function, marginal      240 305 352
Function, support      36 48Ч52 407Ч409
Function, upper semi-continuous      12
Function, utility      106
Function, worst-loss      110
Fuzzy, coalition      212
Fuzzy, game      211Ч233 299Ч302
Fuzzy, set      212
Gale Ч Nikai'do Ч Debreu Theorem      340 391 418
Game, action      216
Game, balanced      199 227
Game, Chicken      114
Game, cooperative      197Ч209 211Ч233 299Ч302
Game, coordination      115
Game, finite      112Ч116
Game, fuzzy      211Ч233 299Ч302
Game, inessential      301
Game, market      224
Game, n-person      189Ч209 292Ч299
Game, non-cooperative      192Ч193
Game, regular      220
Game, simple      233
Game, subadditive      222
Game, two-person      101Ч123 415Ч417
Game, two-person zero-sum      125Ч142 277Ч281
Game, weighting      221
Gamma-convex function      318 368
Gateaux differentiable      62 88 92 410
Gaussian toll sets      55
Generalised gradient      270
Generalised, coalition      213
Generalised, gradient      87Ч99 223
Gradient      62 88
Gradient, generalised      87Ч99 223 270
Graph      18 145 303
Growth rate      180
Hamiltonian system      78
inclusion      75 76 143Ч166 282Ч287
Indicator function      10 404
Indicators      53
Individual stability      108
Inequality, Ky Fan's      140 277Ч281 339 390Ч391
Inequality, quasi-variational      160Ч162
Inequality, Variational      157Ч159 344
Inessential game      301
Inf-compact      13
Inf-convolution      45 239
Inner semicontinuous      147
Inverse of set-valued map      145
Kakutani Ч Fan Fixed-point Theorem      155
Kakutani's Fixed-point Theorem      154
Knaster Ч Kuratowski Ч Mazurkiewicz lemma      163 418
Ky Fan's inequality      140 277Ч281 339 390Ч391
Ky Fan's theorem      277Ч281
Lagrange multipliers      78 83Ч84 97 272
Legendre transformation      64
Leray Ч Schauder theorem      159Ч160 419
Locally Lipschitz function      87Ч99 270Ч277 403
Loss function      106
Lotka Ч Volterra equation      208
Lower section      11
Lower semi-compact function      13Ч15 403
Lower semi-continuous function      11Ч13 37Ч39 403
Lower semi-continuous set-valued map      146 417Ч422
Maintenon (marquess of)      101
Marginal function      240 305 352
Marginal properties      75Ч86 263Ч270
Market game      224
Maynard Ч Smith' dynamic game      208
Measure Maslov      56
membership      212
Membership cost functions      53
Mere (Antoine Gombaud, chevalier de)      101
Metagame      192Ч193
Minimax theorem      134 279 337Ч339 388Ч390
Minimax theorem, Ky Fan      140 277Ч281 339 390Ч391
Minimax theorem, von Neumann      277Ч281
Minimisation problem      9Ч19 35Ч56 75Ч86 99 237Ч302 413Ч415
Minimising sequence      237
Minimum, virtual      110 194
Minkowski      34 36
Mixed strategy      105 134
Monotone set-valued map      344 397
Moreau transform      55
Multilosses, accepted      198 218
Multistrategies, accepted      197
Multistrategies, consistent      189
N-person game      189Ч209 292Ч299
Nash equilibrium      108 190
Nash's theorem      191
Negative polar cone      48 317
Non-cooperative, behaviour      189Ч190
Non-cooperative, equilibrium      108 119 190
Non-cooperative, game      192Ч193
Nonlinear equations      143Ч166 282Ч287
Normal cone      60 70Ч73 97Ч98 411Ч413
Normal form (of game)      106Ч108 190Ч191
Open covering      135
Open image theorem      313 362Ч364
Optimal decision rule      137Ч142
Optimisation      413Ч415
Orthogonal, projector      317 367Ч369
Orthogonal, subspace      48
Outer semicontinuous      147
Pareto optima      108Ч110 193Ч195
Partial order      107
Participation      212
Partition of unity, continuous      135Ч137
Peaceable strategy      112
Penalisation      84Ч86 414
Perron Ч Frobenius theorem      184Ч186 422
Population genetics      207
Prebiotic evolution      208
Price, decentralisation      82Ч84 167 173
Price, decentralised      169
Price, simplex      169
Prisoner's Dilemma      112Ч113
Probability simplex      205
Projector of best approximation      28 407
Proper mapping      319 369Ч370
Proximation Theorem      27Ч31 84
Pseudo convex      276
Quasi-convex      22
Quasi-variational inequality      160Ч162
Re-entrant      154 418
Redundant-players axiom      220 231 302
Regular game      220
Regularisation      84Ч86 414
Replicator system      205
Replicator systems for linear growth rates      207
Restriction      10
Right derivative      62 88 410
Saddle point      125Ч130 134 415
Salient      154 418
Scarf's Theorem      199
Section      11 403
Separation theorem      31
Separation Theorem, Broad      31
Set-valued map      144 303Ч305 349Ч352
Set-valued map, cyclically monotone      260
Set-valued map, existence of zeros      150Ч152 417Ч422
Set-valued map, inverse      145
Set-valued map, lower semi-continuous      146 417Ч422
Set-valued map, monotone      344 397
Set-valued map, upper hemi-continuous      145 417Ч422
Set-valued map, upper semi-continuous      145 303 417Ч422
Shapley, (K-K-M-S)Theorem      162Ч166
Shapley, value      220 229 232
Share-out rule      219
Side payments      218Ч226
Simple game      233
Slater condition      251
Smith, Adam      167
Social, coalition      214
Social, equilibrium      192
Solution (of the game)      223
Stability, collective      109
Stability, individual      108
Stackelberg, decision rule      121
Stackelberg, disequilibrium      123
1 2
blank
–еклама
blank
blank
HR
@Mail.ru
       © Ёлектронна€ библиотека попечительского совета мехмата ћ√”, 2004-2020
Ёлектронна€ библиотека мехмата ћ√” | Valid HTML 4.01! | Valid CSS! ќ проекте