-
1
-
-
38249035395
-
Relaxation techniques and asynchronous algorithms for on-line computation of non-cooperative equilibria
-
T. Bajar, Relaxation techniques and asynchronous algorithms for on-line computation of non-cooperative equilibria, J. Econ. Dyn. Control 11 (1987), pp. 531-549.
-
(1987)
J. Econ. Dyn. Control
, vol.11
, pp. 531-549
-
-
Bajar, T.1
-
2
-
-
0001475203
-
Points de Nash dans le cas defonctionelles quadratiques et jeux differentiels lineaires a N personnes
-
A. Bensoussan, Points de Nash dans le cas defonctionelles quadratiques et jeux differentiels lineaires a N personnes, SIAM J. Control 12 (1974), pp. 460-499.
-
(1974)
SIAM J. Control
, vol.12
, pp. 460-499
-
-
Bensoussan, A.1
-
3
-
-
0003859933
-
-
John Wiley, New York, reprinted by SIAM, Philadelphia, 1990
-
F.H. Clarke, Optimization and Nonsmooth Analysis, John Wiley, New York, 1983 (reprinted by SIAM, Philadelphia, 1990).
-
(1983)
Optimization and Nonsmooth Analysis
-
-
Clarke, F.H.1
-
4
-
-
1442339029
-
Numerical solutions to Nash-Cournot equilibria in coupled constraint electricity markets
-
J. Contreras, M. Klusch, and J.B. Krawczyk, Numerical solutions to Nash-Cournot equilibria in coupled constraint electricity markets, IEEE Trans. Power Syst. 19 (2004), pp. 195-206.
-
(2004)
IEEE Trans. Power Syst
, vol.19
, pp. 195-206
-
-
Contreras, J.1
Klusch, M.2
Krawczyk, J.B.3
-
5
-
-
0003735415
-
-
Academic Press, Boston
-
R.W. Cottle, J.-S. Pang, and R.E. Stone, The Linear Complementarity Problem, Academic Press, Boston, 1992.
-
(1992)
The Linear Complementarity Problem
-
-
Cottle, R.W.1
Pang, J.-S.2
Stone, R.E.3
-
6
-
-
0037808796
-
-
Springer, New York, NY
-
F. Facchinei and J.-S. Pang, Finite-Dimensional Variational Inequalities and Complementarity Problems, Vol. I, Springer, New York, NY, 2003.
-
(2003)
Finite-Dimensional Variational Inequalities and Complementarity Problems
, vol.1
-
-
Facchinei, F.1
Pang, J.-S.2
-
7
-
-
0037808796
-
-
Springer, New York, NY
-
_, Finite-Dimensional Variational Inequalities and Complementarity Problems, Vol. II, Springer, New York, NY, 2003.
-
(2003)
Finite-Dimensional Variational Inequalities and Complementarity Problems
, vol.2
-
-
Facchinei, F.1
Pang, J.-S.2
-
8
-
-
0032332707
-
Regularity properties of a semismooth reformulation of variational inequalities
-
F. Facchinei, A. Fischer, and C. Kanzow, Regularity properties of a semismooth reformulation of variational inequalities, SIAM J. Optim. 8 (1998), pp. 850-869.
-
(1998)
SIAM J. Optim
, vol.8
, pp. 850-869
-
-
Facchinei, F.1
Fischer, A.2
Kanzow, C.3
-
9
-
-
33847081240
-
On generalized Nash games and variational inequalities
-
F. Facchinei, A. Fischer, and V. Piccialli, On generalized Nash games and variational inequalities, Oper. Res. Letters 35 (2007), pp. 159-164.
-
(2007)
Oper. Res. Letters
, vol.35
, pp. 159-164
-
-
Facchinei, F.1
Fischer, A.2
Piccialli, V.3
-
11
-
-
0000554369
-
Solution of monotone complementarity problems with locally Lipschitzian mappings
-
A. Fischer, Solution of monotone complementarity problems with locally Lipschitzian mappings, Math. Program. 76 (1997), pp. 513-532.
-
(1997)
Math. Program
, vol.76
, pp. 513-532
-
-
Fischer, A.1
-
12
-
-
0039325157
-
Equilibrium programming using proximal-like algorithms
-
S.D. Flåm and A.S. Antipin, Equilibrium programming using proximal-like algorithms, Math. Program. 78 (1997), pp. 29-41.
-
(1997)
Math. Program
, vol.78
, pp. 29-41
-
-
Flåm, S.D.1
Antipin, A.S.2
-
13
-
-
0344641206
-
-
IIASA Working Paper 94-42, Laxenburg, Austria, May
-
S.D. Flåm and A. Ruszczyriski, Noncooperative convex games: Computing equilibria by partial regularization, IIASA Working Paper 94-42, Laxenburg, Austria, May 1994.
-
(1994)
Noncooperative convex games: Computing equilibria by partial regularization
-
-
Flåm, S.D.1
Ruszczyriski, A.2
-
14
-
-
6344261714
-
Inverse and implicit function theorems for H -differentiable and semismooth functions
-
M.S. Gowda, Inverse and implicit function theorems for H -differentiable and semismooth functions, Optim. Methods Softw. 19 (2004), pp. 443-461.
-
(2004)
Optim. Methods Softw
, vol.19
, pp. 443-461
-
-
Gowda, M.S.1
-
15
-
-
46749133536
-
Approximations of Nash equilibria
-
DOI 10.1007/s10107-007-0156-y
-
G. Gürkan and J.-S. Pang, Approximations of Nash equilibria, Math. Program. Series B. DOI 10.1007/s10107-007-0156-y.
-
Math. Program. Series B
-
-
Gürkan, G.1
Pang, J.-S.2
-
16
-
-
0026417165
-
Generalized Nash games and quasivariational inequalities
-
P.T. Harker, Generalized Nash games and quasivariational inequalities, Eur. J. Oper. Res. 54 (1991), pp. 81-94.
-
(1991)
Eur. J. Oper. Res
, vol.54
, pp. 81-94
-
-
Harker, P.T.1
-
18
-
-
33744910585
-
Game-theoretic Analysis of Internet Switching with Selfish Users
-
Springer, Berlin
-
A. Kesselman, S. Leonardi, and V. Bonifaci Game-theoretic Analysis of Internet Switching with Selfish Users, Lecture Notes in Computer Science 3828, Springer, Berlin, 2005, pp. 236-245.
-
(2005)
Lecture Notes in Computer Science
, vol.3828
, pp. 236-245
-
-
Kesselman, A.1
Leonardi, S.2
Bonifaci, V.3
-
20
-
-
0034406492
-
Relaxation algorithms to find Nash equilibria with economic applications
-
J.B. Krawczyk and S. Uryasev, Relaxation algorithms to find Nash equilibria with economic applications, Environ. Model. Assess. 5 (2000), pp. 63-73.
-
(2000)
Environ. Model. Assess
, vol.5
, pp. 63-73
-
-
Krawczyk, J.B.1
Uryasev, S.2
-
21
-
-
85153127913
-
Newton's method for non-differentiable functions
-
J. Guddat et al, eds, Akademie-Verlag, Berlin
-
B. Kummer, Newton's method for non-differentiable functions, in Advances in Mathematical Optimization, J. Guddat et al., eds., Akademie-Verlag, Berlin, 1988, pp. 114-125.
-
(1988)
Advances in Mathematical Optimization
, pp. 114-125
-
-
Kummer, B.1
-
22
-
-
0001472237
-
Newton's method based on generalized derivatives for nonsmooth functions: Convergence analysis
-
Advances in Optimization, W. Oettli and D. Pallaschke, eds, Springer-Verlag, Berlin
-
_, Newton's method based on generalized derivatives for nonsmooth functions: Convergence analysis, in Advances in Optimization, W. Oettli and D. Pallaschke, eds., Lecture Notes in Economics and Mathematical Systems 382, Springer-Verlag, Berlin, 1992, pp. 171-194.
-
(1992)
Lecture Notes in Economics and Mathematical Systems
, vol.382
, pp. 171-194
-
-
Kummer, B.1
-
23
-
-
0023382715
-
Distributed algorithms for the computation of noncooperative equilibria
-
S. Li and T. Başar, Distributed algorithms for the computation of noncooperative equilibria, Automatica 23 (1987), pp. 523-533.
-
(1987)
Automatica
, vol.23
, pp. 523-533
-
-
Li, S.1
Başar, T.2
-
24
-
-
0029310129
-
Strong stability in variational inequalities
-
J. Liu, Strong stability in variational inequalities, SIAM J. Control Optim. 33 (1995), pp. 725-749.
-
(1995)
SIAM J. Control Optim
, vol.33
, pp. 725-749
-
-
Liu, J.1
-
25
-
-
0242653626
-
Gap functions for equilibrium problems
-
G. Mastroeni, Gap functions for equilibrium problems, J. Global Optim. 27 (2003), pp. 411-426.
-
(2003)
J. Global Optim
, vol.27
, pp. 411-426
-
-
Mastroeni, G.1
-
26
-
-
0000012763
-
Semismooth and semiconvex functions in constrained optimization
-
R. Mifflin, Semismooth and semiconvex functions in constrained optimization, SIAM J. Control Optim. 15, (1977), pp. 957-972.
-
(1977)
SIAM J. Control Optim
, vol.15
, pp. 957-972
-
-
Mifflin, R.1
-
27
-
-
84972517905
-
Note on noncooperative convex games
-
H. Nikaido and K. Isoda, Note on noncooperative convex games, Pac. J. Math. 5 (1955), pp. 807-815.
-
(1955)
Pac. J. Math
, vol.5
, pp. 807-815
-
-
Nikaido, H.1
Isoda, K.2
-
28
-
-
0003534283
-
-
Kluwer, Dordrecht
-
J. Outrata, M. Kocvara, and J. Zowe, Nonsmooth Approach to Optimization Problems with Equilibrium Constraints, Kluwer, Dordrecht, 1998.
-
(1998)
Nonsmooth Approach to Optimization Problems with Equilibrium Constraints
-
-
Outrata, J.1
Kocvara, M.2
Zowe, J.3
-
29
-
-
20444502586
-
Qwasi-variational inequalities, generalized Nashequilibria, and multi-leader-follower games, Comput
-
J.-S. Pang and M. Fukushima, Qwasi-variational inequalities, generalized Nashequilibria, and multi-leader-follower games, Comput. Manage. Sci. 2 (2005), pp. 21-56.
-
(2005)
Manage. Sci
, vol.2
, pp. 21-56
-
-
Pang, J.-S.1
Fukushima, M.2
-
30
-
-
54249161718
-
Nash equilibria with piecewise quadratic costs
-
J.-S. Pang and J. Sun, Nash equilibria with piecewise quadratic costs, Pac. J. Optim. 2 (2006), pp. 679-692.
-
(2006)
Pac. J. Optim
, vol.2
, pp. 679-692
-
-
Pang, J.-S.1
Sun, J.2
-
31
-
-
0038300039
-
Semismooth homeomorphisms and strong stability of semidefinite and Lorentz complementarity problems
-
J.-S. Pang, D. Sun, and J. Sun, Semismooth homeomorphisms and strong stability of semidefinite and Lorentz complementarity problems, Math. Oper. Res. 28 (2003), pp. 39-63.
-
(2003)
Math. Oper. Res
, vol.28
, pp. 39-63
-
-
Pang, J.-S.1
Sun, D.2
Sun, J.3
-
32
-
-
0000607524
-
Convergence analysis of some algorithms for solving nonsmooth equations
-
L. Qi, Convergence analysis of some algorithms for solving nonsmooth equations, Math. Oper. Res. 18 (1993), pp. 227-244.
-
(1993)
Math. Oper. Res
, vol.18
, pp. 227-244
-
-
Qi, L.1
-
33
-
-
0027543961
-
A nonsmooth version of Newton's method
-
L. Qi and J. Sun, A nonsmooth version of Newton's method, Math. Program. 58 (1993), pp. 353-367.
-
(1993)
Math. Program
, vol.58
, pp. 353-367
-
-
Qi, L.1
Sun, J.2
-
34
-
-
0003176679
-
Über partielle und totale Differenzierbarkeit I
-
H. Rademacher, Über partielle und totale Differenzierbarkeit I, Math. Ann. 89 (1919), pp. 340-359.
-
(1919)
Math. Ann
, vol.89
, pp. 340-359
-
-
Rademacher, H.1
-
35
-
-
0018977011
-
Strongly regular generalized equations
-
S.M. Robinson, Strongly regular generalized equations, Math. Oper. Res. 5 (1980), pp. 43-62.
-
(1980)
Math. Oper. Res
, vol.5
, pp. 43-62
-
-
Robinson, S.M.1
-
36
-
-
0018922522
-
Existence and uniqueness of equilibrium points for concave N-person games
-
J.B. Rosen, Existence and uniqueness of equilibrium points for concave N-person games, Econometrica 33 (1965), pp. 520-534.
-
(1965)
Econometrica
, vol.33
, pp. 520-534
-
-
Rosen, J.B.1
-
37
-
-
0025485978
-
On concepts of directional differentiability
-
A. Shapiro, On concepts of directional differentiability, J. Optim. Theory Appl. 66 (1990), pp. 477-487.
-
(1990)
J. Optim. Theory Appl
, vol.66
, pp. 477-487
-
-
Shapiro, A.1
-
38
-
-
0035329752
-
A further result on an implicit function theorem for locally Lipschitz functions
-
D. Sun, A further result on an implicit function theorem for locally Lipschitz functions, Oper. Res. Lett. 28 (2001), pp. 193-198.
-
(2001)
Oper. Res. Lett
, vol.28
, pp. 193-198
-
-
Sun, D.1
-
39
-
-
0028447256
-
On relaxation algorithms in computation of noncooperative. equilibria
-
S. Uryasev and R.Y. Rubinstein, On relaxation algorithms in computation of noncooperative. equilibria, IEEE Trans. Autom. Control 39 (1994), pp. 1263-1267.
-
(1994)
IEEE Trans. Autom. Control
, vol.39
, pp. 1263-1267
-
-
Uryasev, S.1
Rubinstein, R.Y.2
-
40
-
-
67651018689
-
-
A. von Heusinger and C. Kanzow, Optimization reformulations of the generalized Nash equilibrium problem using Nikaido-Isoda-type functions, Comput. Optim. Appl., DOI 10.1007/s10589-007-9145-6.
-
A. von Heusinger and C. Kanzow, Optimization reformulations of the generalized Nash equilibrium problem using Nikaido-Isoda-type functions, Comput. Optim. Appl., DOI 10.1007/s10589-007-9145-6.
-
-
-
-
41
-
-
54249113832
-
Unconstrained optimization reformulation, of equilibrium problems
-
Tech. Rep, Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing, China
-
L. Zhang and J. Han, Unconstrained optimization reformulation, of equilibrium problems, Tech. Rep., Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing, China, 2006.
-
(2006)
-
-
Zhang, L.1
Han, J.2
|