-
Previous Article
Bifurcation analysis of a discrete SIS model with bilinear incidence depending on new infection
- MBE Home
- This Issue
-
Next Article
Metering effects in population systems
Prisoner's Dilemma on real social networks: Revisited
1. | East Tennessee State University, Department of Mathematics and Statistics, Box 70663, Johnson City, TN 37614-1701, United States |
2. | East Tennessee State University, Department of Mathematics and Statistics, Institute for Quantitative Biology, Box 70663, Johnson City, TN 37614-1701, United States |
References:
[1] |
G. Abramson and M. Kuperman, Social games in a social network,, Phys. Rev. E, 63 (2001).
doi: 10.1103/PhysRevE.63.030901. |
[2] |
E. Ahmed and A.S. Elgazzar, On local prisoner's dilemma game with Pareto updating rule,, Int. J. Mod. Phys. C, 11 (2000), 1539.
doi: 10.1142/S0129183100001334. |
[3] |
R. Axelrod, "The Evolution of Cooperation,", Revised Edition, (2006).
doi: 10.1126/science.7466396. |
[4] |
C. T. Bauch, A. P. Galvani and D. J. Earn, Group interest versus self-interest in smallpox vaccination policy,, P. Natl. Acad. Sci. USA, 100 (2003), 10564.
doi: 10.1073/pnas.1731324100. |
[5] |
D. M. Boyd and N. B. Ellison, Social network sites: Definition, history, and scholarship,, J. Computer-Mediated Comm., 13 (2008), 210.
doi: 10.1109/EMR.2010.5559139. |
[6] |
A. Cassar, Coordination and cooperation in local, random and small world networks: Experimental evidence,, Game Econ. Behav., 58 (2007), 209.
doi: 10.1016/j.geb.2006.03.008. |
[7] |
Y. Chen, S. M. Qin, L. C. Yu and S. L. Zhang, Emergence of synchronization induced by the interplay between two prisoner's dilemma games with volunteering in small-world networks,, Phys. Rev. E, 77 (2008).
doi: 10.1103/PhysRevE.77.032103. |
[8] |
X. J. Chen and L. Wang, Promotion of cooperation induced by appropriate payoff aspirations in a small-world networked game,, Phys. Rev. E, 77 (2008).
doi: 10.1103/PhysRevE.77.017103. |
[9] |
F. Chen, A mathematical analysis of public avoidance behavior during epidemics using game theory,, J. Theor. Biol., 302 (2012), 18.
doi: 10.1016/j.jtbi.2012.03.002. |
[10] |
X. H. Deng, Y. Liu and Z. G. Chen, Memory-based evolutionary game on small-world network with tunable heterogeneity,, Physica A, 389 (2010), 5173.
doi: 10.1016/j.physa.2010.08.004. |
[11] |
L. R. Dong, Dynamic evolution with limited learning information on a small-world network,, Commun. Theor. Phys., 54 (2010), 578. Google Scholar |
[12] |
W. B. Du, X. B. Cao, L. Zhao and H. Zhou, Evolutionary games on weighted Newman-Watts small-world networks,, Chinese Phys. Lett., 26 (2009). Google Scholar |
[13] |
R. Durrett, "Random Graph Dynamics,", Cambridge University Press, (2007).
|
[14] |
D. Easley and J. Kleinberg, " Networks, Crowds, and Markets: Reasoning about a Highly Connected World,", Cambridge University Press, (2010).
|
[15] |
V. M. Eguiluz, M. G. Zimmermann, C. J. Cela-Conde and M. S. Miguel, Cooperation and the emergence of role differentiation in the dynamics of social networks,, Am. J. Sociol., 110 (2005), 977.
doi: 10.1086/428716. |
[16] |
F. Fu, L. H. Liu and L. Wang, Evolutionary prisoner's dilemma on heterogeneous Newman-Watts small-world network,, Eur. Phys. J. B, 56 (2007), 367.
doi: 10.1140/epjb/e2007-00124-5. |
[17] |
M. Granovetter, The strength of weak ties,, Am. J. Sociol., 78 (1973), 1360. Google Scholar |
[18] |
J. Y. Guan, Z. X. Wu, Z. G. Huang and Y. H. Wang, Prisoner's dilemma game with nonlinear attractive effect on regular small-world networks,, Chinese Phys. Lett., 23 (2006), 2874. Google Scholar |
[19] |
C. Hauert and G. Szabo, Game theory and physics,, Am. J. Phys., 73 (2005), 405.
doi: 10.1119/1.1848514. |
[20] |
C. Hauert and L. A. Imhof, Evolutionary games in deme structured, finite populations,, J. Theor. Biol., 299 (2012), 106.
doi: 10.1016/j.jtbi.2011.06.010. |
[21] |
B. J. Kim, A. Trusina, P. Holme, P. Minnhagen, J. S. Chung and M. Y. Choi, Dynamic instabilities induced by asymmetric influence: Prisoner's dilemma game in small-world networks,, Phys. Rev. E, 66 (2002). Google Scholar |
[22] |
K. Lewis, J. Kaufman, M. Gonzalez, M. Wimmer and N. A. Christakis, Tastes, ties, and time: A new (cultural, multiplex, and longitudinal) social network dataset using Facebook.com,, Social Networks, 30 (2008), 330. Google Scholar |
[23] |
T. Lenaerts, J. M. Pacheco and F. C. Santos, Evolutionary dynamics of social dilemmas in structured heterogenous populations,, P. Natl. Acad. Sci. USA, 109 (2006), 3490. Google Scholar |
[24] |
N. Masuda and K. Aihara, Spatial prisoner's dilemma optimally played in small-world networks,, Phys. Lett. A, 313 (2003), 55.
doi: 10.1016/S0375-9601(03)00693-5. |
[25] |
A. Mayer and S. L. Puller, The old boy (and girl) network: Social network formation on university campuses,, J. Public Econom., 92 (2008), 328.
doi: 10.1016/j.jpubeco.2007.09.001. |
[26] |
J. Maynard-Smith, "Evolution and the Theory of Games,", Cambridge University Press, (1982).
doi: 10.1016/0022-5193(74)90110-6. |
[27] |
S. Milgram, The small-world problem,, Psychol. Today, 2 (1967), 60.
doi: 10.1037/e400002009-005. |
[28] |
J. F. Nash, Equilibrium points in $n$-person games,, Proc. Natl. Acad. Sci. USA, 36 (1950), 48.
doi: 10.1073/pnas.36.1.48. |
[29] |
M. E. J. Newman, "Networks: An Introduction,", Oxford University Press, (2010).
doi: 10.1093/acprof:oso/9780199206650.001.0001. |
[30] |
M. A. Nowak and R. M. May, Evolutionary games and spatial chaos,, Nature, 359 (1992), 826.
doi: 10.1038/359826a0. |
[31] |
M. A. Nowak, "Evolutionary Dynamics: Exploring the Equations of Life,", Harvard University Press, (2006).
|
[32] |
M. A. Nowak, "Super Cooperators: Altruism, Evolution, and Why We Need Each Other to Succeed,", Free Press, (2012). Google Scholar |
[33] |
H. Ohtsuki, C. Hauert, E. Lieberman and M. A. Nowak, A simple rule for the evolution of cooperation on graphs and social networks,, Nature, 441 (2006), 502.
doi: 10.1038/nature04605. |
[34] |
M. Perc, Double resonance in cooperation induced by noise and network variation for an evolutionary prisoner's dilemma,, New J. Phys., 8 (2006).
doi: 10.1088/1367-2630/8/9/183. |
[35] |
E. Shim, L. A. Meyers and A. P. Galvani, Optimal H1N1 vaccination strategies based on self-interest versus group interest,, BMC Public Health, 11 (2011). Google Scholar |
[36] |
G. Szabo and J. Vukov, Cooperation for volunteering and partially random partnerships,, Phys. Rev. E, 69 (2004).
doi: 10.1103/PhysRevE.69.036107. |
[37] |
C. L. Tang, W. X. Wang, X. Wu and B. H. Wang, Effects of average degree on cooperation in networked evolutionary game,, Eur. Phys. J. B, 53 (2006), 411.
doi: 10.1140/epjb/e2006-00395-2. |
[38] |
M. Tomochi, Defectors' niches: Prisoner's dilemma game on disordered networks,, Soc. Networks, 26 (2004), 309.
doi: 10.1016/j.socnet.2004.08.003. |
[39] |
X. Thibert-Plante and L. Parrott, Prisoner's dilemma and clusters on small-world networks,, Complexity, 12 (2007), 22.
doi: 10.1002/cplx.20182. |
[40] |
A. L. Traud, E. D. Kelsic, P. J. Mucha and M. A. Porter, Comparing community structure to characteristics in online collegiate social networks,, SIAM Rev., 53 (2011), 526.
doi: 10.1137/080734315. |
[41] |
A. L. Traud, P. J. Mucha and M. A. Porter, Social structure of Facebook networks,, Physica A, 391 (2012), 4165. Google Scholar |
[42] |
J. von Neumann and O. Morgenstern, "Theory of Games and Economic Behavior,", Princeton University Press, (1944).
|
[43] |
D. J. Watts and S. H. Strogatz, Collective dynamics of 'small-world' networks,, Nature, 393 (1998), 440. Google Scholar |
[44] |
D. J. Watts, "Small Worlds: The Dynamics of Networks, Between Order and Randomness,", Princeton University Press, (1999).
|
[45] |
G. S. Wilkinson, Reciprocal food sharing in the vampire bat,, Nature, 308 (1984), 181. Google Scholar |
[46] |
Z. X. Wu, X. J. Xu, Y. Chen and Y. H. Wang, Spatial prisoner's dilemma game with volunteering in Newman-Watts small-world networks,, Phys. Rev. E, 71 (2005).
doi: 10.1103/PhysRevE.71.037103. |
[47] |
Z. X. Wu, X. J. Xu and Y. H. Wang, Prisoner's dilemma game with heterogeneous influential effect on regular small-world networks,, Chinese Phys. Lett., 23 (2006), 531. Google Scholar |
[48] |
Q. Z. Xia, X. H. Liao, W. Li and G. Hu, Enhance cooperation by catastrophic collapses of rich cooperators in coevolutionary networks,, EPL-Europhys. Lett., 92 (2010).
doi: 10.1209/0295-5075/92/40009. |
[49] |
L. X. Zhong, D. F. Zheng, B. Zheng, C. Xu and P. M. Hui, Networking effects on cooperation in evolutionary snowdrift game,, Europhys. Lett., 76 (2006), 724.
doi: 10.1209/epl/i2006-10323-2. |
show all references
References:
[1] |
G. Abramson and M. Kuperman, Social games in a social network,, Phys. Rev. E, 63 (2001).
doi: 10.1103/PhysRevE.63.030901. |
[2] |
E. Ahmed and A.S. Elgazzar, On local prisoner's dilemma game with Pareto updating rule,, Int. J. Mod. Phys. C, 11 (2000), 1539.
doi: 10.1142/S0129183100001334. |
[3] |
R. Axelrod, "The Evolution of Cooperation,", Revised Edition, (2006).
doi: 10.1126/science.7466396. |
[4] |
C. T. Bauch, A. P. Galvani and D. J. Earn, Group interest versus self-interest in smallpox vaccination policy,, P. Natl. Acad. Sci. USA, 100 (2003), 10564.
doi: 10.1073/pnas.1731324100. |
[5] |
D. M. Boyd and N. B. Ellison, Social network sites: Definition, history, and scholarship,, J. Computer-Mediated Comm., 13 (2008), 210.
doi: 10.1109/EMR.2010.5559139. |
[6] |
A. Cassar, Coordination and cooperation in local, random and small world networks: Experimental evidence,, Game Econ. Behav., 58 (2007), 209.
doi: 10.1016/j.geb.2006.03.008. |
[7] |
Y. Chen, S. M. Qin, L. C. Yu and S. L. Zhang, Emergence of synchronization induced by the interplay between two prisoner's dilemma games with volunteering in small-world networks,, Phys. Rev. E, 77 (2008).
doi: 10.1103/PhysRevE.77.032103. |
[8] |
X. J. Chen and L. Wang, Promotion of cooperation induced by appropriate payoff aspirations in a small-world networked game,, Phys. Rev. E, 77 (2008).
doi: 10.1103/PhysRevE.77.017103. |
[9] |
F. Chen, A mathematical analysis of public avoidance behavior during epidemics using game theory,, J. Theor. Biol., 302 (2012), 18.
doi: 10.1016/j.jtbi.2012.03.002. |
[10] |
X. H. Deng, Y. Liu and Z. G. Chen, Memory-based evolutionary game on small-world network with tunable heterogeneity,, Physica A, 389 (2010), 5173.
doi: 10.1016/j.physa.2010.08.004. |
[11] |
L. R. Dong, Dynamic evolution with limited learning information on a small-world network,, Commun. Theor. Phys., 54 (2010), 578. Google Scholar |
[12] |
W. B. Du, X. B. Cao, L. Zhao and H. Zhou, Evolutionary games on weighted Newman-Watts small-world networks,, Chinese Phys. Lett., 26 (2009). Google Scholar |
[13] |
R. Durrett, "Random Graph Dynamics,", Cambridge University Press, (2007).
|
[14] |
D. Easley and J. Kleinberg, " Networks, Crowds, and Markets: Reasoning about a Highly Connected World,", Cambridge University Press, (2010).
|
[15] |
V. M. Eguiluz, M. G. Zimmermann, C. J. Cela-Conde and M. S. Miguel, Cooperation and the emergence of role differentiation in the dynamics of social networks,, Am. J. Sociol., 110 (2005), 977.
doi: 10.1086/428716. |
[16] |
F. Fu, L. H. Liu and L. Wang, Evolutionary prisoner's dilemma on heterogeneous Newman-Watts small-world network,, Eur. Phys. J. B, 56 (2007), 367.
doi: 10.1140/epjb/e2007-00124-5. |
[17] |
M. Granovetter, The strength of weak ties,, Am. J. Sociol., 78 (1973), 1360. Google Scholar |
[18] |
J. Y. Guan, Z. X. Wu, Z. G. Huang and Y. H. Wang, Prisoner's dilemma game with nonlinear attractive effect on regular small-world networks,, Chinese Phys. Lett., 23 (2006), 2874. Google Scholar |
[19] |
C. Hauert and G. Szabo, Game theory and physics,, Am. J. Phys., 73 (2005), 405.
doi: 10.1119/1.1848514. |
[20] |
C. Hauert and L. A. Imhof, Evolutionary games in deme structured, finite populations,, J. Theor. Biol., 299 (2012), 106.
doi: 10.1016/j.jtbi.2011.06.010. |
[21] |
B. J. Kim, A. Trusina, P. Holme, P. Minnhagen, J. S. Chung and M. Y. Choi, Dynamic instabilities induced by asymmetric influence: Prisoner's dilemma game in small-world networks,, Phys. Rev. E, 66 (2002). Google Scholar |
[22] |
K. Lewis, J. Kaufman, M. Gonzalez, M. Wimmer and N. A. Christakis, Tastes, ties, and time: A new (cultural, multiplex, and longitudinal) social network dataset using Facebook.com,, Social Networks, 30 (2008), 330. Google Scholar |
[23] |
T. Lenaerts, J. M. Pacheco and F. C. Santos, Evolutionary dynamics of social dilemmas in structured heterogenous populations,, P. Natl. Acad. Sci. USA, 109 (2006), 3490. Google Scholar |
[24] |
N. Masuda and K. Aihara, Spatial prisoner's dilemma optimally played in small-world networks,, Phys. Lett. A, 313 (2003), 55.
doi: 10.1016/S0375-9601(03)00693-5. |
[25] |
A. Mayer and S. L. Puller, The old boy (and girl) network: Social network formation on university campuses,, J. Public Econom., 92 (2008), 328.
doi: 10.1016/j.jpubeco.2007.09.001. |
[26] |
J. Maynard-Smith, "Evolution and the Theory of Games,", Cambridge University Press, (1982).
doi: 10.1016/0022-5193(74)90110-6. |
[27] |
S. Milgram, The small-world problem,, Psychol. Today, 2 (1967), 60.
doi: 10.1037/e400002009-005. |
[28] |
J. F. Nash, Equilibrium points in $n$-person games,, Proc. Natl. Acad. Sci. USA, 36 (1950), 48.
doi: 10.1073/pnas.36.1.48. |
[29] |
M. E. J. Newman, "Networks: An Introduction,", Oxford University Press, (2010).
doi: 10.1093/acprof:oso/9780199206650.001.0001. |
[30] |
M. A. Nowak and R. M. May, Evolutionary games and spatial chaos,, Nature, 359 (1992), 826.
doi: 10.1038/359826a0. |
[31] |
M. A. Nowak, "Evolutionary Dynamics: Exploring the Equations of Life,", Harvard University Press, (2006).
|
[32] |
M. A. Nowak, "Super Cooperators: Altruism, Evolution, and Why We Need Each Other to Succeed,", Free Press, (2012). Google Scholar |
[33] |
H. Ohtsuki, C. Hauert, E. Lieberman and M. A. Nowak, A simple rule for the evolution of cooperation on graphs and social networks,, Nature, 441 (2006), 502.
doi: 10.1038/nature04605. |
[34] |
M. Perc, Double resonance in cooperation induced by noise and network variation for an evolutionary prisoner's dilemma,, New J. Phys., 8 (2006).
doi: 10.1088/1367-2630/8/9/183. |
[35] |
E. Shim, L. A. Meyers and A. P. Galvani, Optimal H1N1 vaccination strategies based on self-interest versus group interest,, BMC Public Health, 11 (2011). Google Scholar |
[36] |
G. Szabo and J. Vukov, Cooperation for volunteering and partially random partnerships,, Phys. Rev. E, 69 (2004).
doi: 10.1103/PhysRevE.69.036107. |
[37] |
C. L. Tang, W. X. Wang, X. Wu and B. H. Wang, Effects of average degree on cooperation in networked evolutionary game,, Eur. Phys. J. B, 53 (2006), 411.
doi: 10.1140/epjb/e2006-00395-2. |
[38] |
M. Tomochi, Defectors' niches: Prisoner's dilemma game on disordered networks,, Soc. Networks, 26 (2004), 309.
doi: 10.1016/j.socnet.2004.08.003. |
[39] |
X. Thibert-Plante and L. Parrott, Prisoner's dilemma and clusters on small-world networks,, Complexity, 12 (2007), 22.
doi: 10.1002/cplx.20182. |
[40] |
A. L. Traud, E. D. Kelsic, P. J. Mucha and M. A. Porter, Comparing community structure to characteristics in online collegiate social networks,, SIAM Rev., 53 (2011), 526.
doi: 10.1137/080734315. |
[41] |
A. L. Traud, P. J. Mucha and M. A. Porter, Social structure of Facebook networks,, Physica A, 391 (2012), 4165. Google Scholar |
[42] |
J. von Neumann and O. Morgenstern, "Theory of Games and Economic Behavior,", Princeton University Press, (1944).
|
[43] |
D. J. Watts and S. H. Strogatz, Collective dynamics of 'small-world' networks,, Nature, 393 (1998), 440. Google Scholar |
[44] |
D. J. Watts, "Small Worlds: The Dynamics of Networks, Between Order and Randomness,", Princeton University Press, (1999).
|
[45] |
G. S. Wilkinson, Reciprocal food sharing in the vampire bat,, Nature, 308 (1984), 181. Google Scholar |
[46] |
Z. X. Wu, X. J. Xu, Y. Chen and Y. H. Wang, Spatial prisoner's dilemma game with volunteering in Newman-Watts small-world networks,, Phys. Rev. E, 71 (2005).
doi: 10.1103/PhysRevE.71.037103. |
[47] |
Z. X. Wu, X. J. Xu and Y. H. Wang, Prisoner's dilemma game with heterogeneous influential effect on regular small-world networks,, Chinese Phys. Lett., 23 (2006), 531. Google Scholar |
[48] |
Q. Z. Xia, X. H. Liao, W. Li and G. Hu, Enhance cooperation by catastrophic collapses of rich cooperators in coevolutionary networks,, EPL-Europhys. Lett., 92 (2010).
doi: 10.1209/0295-5075/92/40009. |
[49] |
L. X. Zhong, D. F. Zheng, B. Zheng, C. Xu and P. M. Hui, Networking effects on cooperation in evolutionary snowdrift game,, Europhys. Lett., 76 (2006), 724.
doi: 10.1209/epl/i2006-10323-2. |
[1] |
Juan Manuel Pastor, Javier García-Algarra, José M. Iriondo, José J. Ramasco, Javier Galeano. Dragging in mutualistic networks. Networks & Heterogeneous Media, 2015, 10 (1) : 37-52. doi: 10.3934/nhm.2015.10.37 |
[2] |
Gheorghe Craciun, Jiaxin Jin, Polly Y. Yu. Single-target networks. Discrete & Continuous Dynamical Systems - B, 2021 doi: 10.3934/dcdsb.2021065 |
[3] |
Alessandro Gondolo, Fernando Guevara Vasquez. Characterization and synthesis of Rayleigh damped elastodynamic networks. Networks & Heterogeneous Media, 2014, 9 (2) : 299-314. doi: 10.3934/nhm.2014.9.299 |
[4] |
Juan Manuel Pastor, Javier García-Algarra, Javier Galeano, José María Iriondo, José J. Ramasco. A simple and bounded model of population dynamics for mutualistic networks. Networks & Heterogeneous Media, 2015, 10 (1) : 53-70. doi: 10.3934/nhm.2015.10.53 |
[5] |
Mohsen Abdolhosseinzadeh, Mir Mohammad Alipour. Design of experiment for tuning parameters of an ant colony optimization method for the constrained shortest Hamiltonian path problem in the grid networks. Numerical Algebra, Control & Optimization, 2021, 11 (2) : 321-332. doi: 10.3934/naco.2020028 |
[6] |
Zengyun Wang, Jinde Cao, Zuowei Cai, Lihong Huang. Finite-time stability of impulsive differential inclusion: Applications to discontinuous impulsive neural networks. Discrete & Continuous Dynamical Systems - B, 2021, 26 (5) : 2677-2692. doi: 10.3934/dcdsb.2020200 |
[7] |
Quan Hai, Shutang Liu. Mean-square delay-distribution-dependent exponential synchronization of chaotic neural networks with mixed random time-varying delays and restricted disturbances. Discrete & Continuous Dynamical Systems - B, 2021, 26 (6) : 3097-3118. doi: 10.3934/dcdsb.2020221 |
[8] |
David Cantala, Juan Sebastián Pereyra. Endogenous budget constraints in the assignment game. Journal of Dynamics & Games, 2015, 2 (3&4) : 207-225. doi: 10.3934/jdg.2015002 |
[9] |
Akio Matsumot, Ferenc Szidarovszky. Stability switching and its directions in cournot duopoly game with three delays. Discrete & Continuous Dynamical Systems - B, 2021 doi: 10.3934/dcdsb.2021069 |
[10] |
Guillaume Bal, Wenjia Jing. Homogenization and corrector theory for linear transport in random media. Discrete & Continuous Dynamical Systems, 2010, 28 (4) : 1311-1343. doi: 10.3934/dcds.2010.28.1311 |
[11] |
Felix Finster, Jürg Fröhlich, Marco Oppio, Claudio F. Paganini. Causal fermion systems and the ETH approach to quantum theory. Discrete & Continuous Dynamical Systems - S, 2021, 14 (5) : 1717-1746. doi: 10.3934/dcdss.2020451 |
[12] |
Masahiro Ikeda, Ziheng Tu, Kyouhei Wakasa. Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass. Evolution Equations & Control Theory, 2021 doi: 10.3934/eect.2021011 |
[13] |
W. Cary Huffman. On the theory of $\mathbb{F}_q$-linear $\mathbb{F}_{q^t}$-codes. Advances in Mathematics of Communications, 2013, 7 (3) : 349-378. doi: 10.3934/amc.2013.7.349 |
[14] |
Z. Reichstein and B. Youssin. Parusinski's "Key Lemma" via algebraic geometry. Electronic Research Announcements, 1999, 5: 136-145. |
[15] |
John Leventides, Costas Poulios, Georgios Alkis Tsiatsios, Maria Livada, Stavros Tsipras, Konstantinos Lefcaditis, Panagiota Sargenti, Aleka Sargenti. Systems theory and analysis of the implementation of non pharmaceutical policies for the mitigation of the COVID-19 pandemic. Journal of Dynamics & Games, 2021 doi: 10.3934/jdg.2021004 |
[16] |
Ronald E. Mickens. Positivity preserving discrete model for the coupled ODE's modeling glycolysis. Conference Publications, 2003, 2003 (Special) : 623-629. doi: 10.3934/proc.2003.2003.623 |
[17] |
Bernold Fiedler, Carlos Rocha, Matthias Wolfrum. Sturm global attractors for $S^1$-equivariant parabolic equations. Networks & Heterogeneous Media, 2012, 7 (4) : 617-659. doi: 10.3934/nhm.2012.7.617 |
[18] |
Enkhbat Rentsen, Battur Gompil. Generalized Nash equilibrium problem based on malfatti's problem. Numerical Algebra, Control & Optimization, 2021, 11 (2) : 209-220. doi: 10.3934/naco.2020022 |
[19] |
Huy Dinh, Harbir Antil, Yanlai Chen, Elena Cherkaev, Akil Narayan. Model reduction for fractional elliptic problems using Kato's formula. Mathematical Control & Related Fields, 2021 doi: 10.3934/mcrf.2021004 |
[20] |
Jiangxing Wang. Convergence analysis of an accurate and efficient method for nonlinear Maxwell's equations. Discrete & Continuous Dynamical Systems - B, 2021, 26 (5) : 2429-2440. doi: 10.3934/dcdsb.2020185 |
2018 Impact Factor: 1.313
Tools
Metrics
Other articles
by authors
[Back to Top]