GCW: A Game Theoretic Contention Window Adjustment Approach for IEEE 802.11 WLANs

Wireless Personal Communications

Volumn 83, Issue 2, 2015, Pages 1101-1130

  Ghazvini, Mahdieh ^a   Movahhedinia, Naser ^b   Jamshidi, Kamal ^b  

^a SHAHID BAHONAR UNIVERSITY OF KERMAN   (Iran)

^b UNIVERSITY OF ISFAHAN   (Iran)

Author keywords

802.11; Channel access probability; Contention window; Game theory; MAC (Media Access Control) layer; Transmission probability; WLAN

Indexed keywords

ACCESS CONTROL; MEDIUM ACCESS CONTROL; NETWORK PERFORMANCE; PROBABILITY; STANDARDS;

802.11; CHANNEL ACCESS PROBABILITIES; CONTENTION WINDOW; MACS (MEDIA ACCESS CONTROL); TRANSMISSION PROBABILITIES; WLAN;

GAME THEORY;

EID: 84937632478     PISSN: 09296212     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11277-015-2441-z     Document Type: Article

References (129)

1. I. W. Group. (2007). IEEE 802.11, IEEE Standard for Information Technology Telecommunications and information exchange between systems local and metropolitan AREA networks specific requirements. Part 11: Wireless LAN medium access control (MAC) and physical layer (PHY) specifications. ed: IEEE.
2. Li, Y., Wang, C., Long, K., & Zhao, W. (2008). Modeling channel access delay and jitter of IEEE 802.11 DCF. Wireless Personal Communications,47, 417–440.
3. Pal, A. (2013). Data communication and computer networks. PHI Learning Pvt. Ltd.
4. Dargie, W., & Poellabauer, C. (2010). Fundamentals of wireless sensor networks: Theory and practice. London: Wiley.
5. Campista, M. E. M. (2014). Advanced routing protocols for wireless networks. London: Wiley.
6. Karl, H., & Willig, A. (2007). Protocols and architectures for wireless sensor networks. London: Wiley.
7. Lee B. G., & Choi S. (2008). Broadband wireless access and local networks: Mobile WiMAX and WiFi. Artech House Publishers.
8. Huang, F., & Yang, Y. (2009). Medium access control in wireless mesh networks. In S. Misra, S. Misra, & I. Woungang (Eds.), Guide to wireless mesh networks (pp. 31–48). London: Springer.
9. Ghazvini, M., Movahedinia, N., Jamshidi, K., & Moghim, N. (2013). Game theory applications in CSMA methods. Communications Surveys and Tutorials, IEEE,15, 1062–1087.
10. Sarkar, N. (2014). Improving the performance of wireless LANs: A practical guide. Boca Raton: CRC Press.
11. Bithas, P. S., Lioumpas, A. S. & Alexiou, A. (2012) A hybrid contention/reservation medium access protocol for wireless sensor networks. In Globecom Workshops (GC Wkshps) (pp. 1669–1674). 2012 IEEE.
12. Shrestha, B., Hossain, E., & Choi, K. W. (2014). Distributed and centralized hybrid CSMA/CA-TDMA schemes for single-hop wireless networks. arXiv preprint arXiv:1401.5528.
13. Lee, K.-S., & Kim, C. (2013). Distributed sequential access MAC protocol for single-hop wireless networks. Wireless Personal Communications,72, 2177–2184.
14. Tuysuz, M., & Mantar, H. A. (2014). A Beacon-based collision-free channel access scheme for IEEE 802.11 WLANs. Wireless Personal Communications,75, 155–177.
15. Zhang, R., Ruby, R., Pan, J., Cai, L., & Shen, X. (2010). A hybrid reservation/contention-based MAC for video streaming over wireless networks. IEEE Journal on Selected Areas in Communications,28, 389–398.
16. Lei, X., & Rhee, S. H. (2014). Enhancing IEEE 802.11 MAC via a sender-initiated reservation. Wireless Personal Communications,75, 2399–2409.
17. Shrestha, B., Hossain, E., & Choi, K. W. (2014). Distributed and centralized hybrid CSMA/CA-TDMA schemes for single-hop wireless networks. IEEE Transactions on Wireless Communications,13, 4050–4065.
18. Muqattash, A., & Krunz, M. (2003). CDMA-based MAC protocol for wireless ad hoc networks. In Proceedings of the 4th ACM international symposium on Mobile ad hoc networking and computing (pp. 153–164).
19. Sobral, M. M., & Becker, L. B. (2008). A wireless hybrid contention/TDMA-based MAC for real-time mobile application. In Proceedings of the 2008 ACM symposium on Applied computing (pp. 284–288).
20. Dang, D. N. M., Dang, H. N., Nguyen, V., Htike, Z., & Hong, C. S. (2014). HER-MAC: A hybrid efficient and reliable MAC for vehicular Ad Hoc networks. In 2014IEEE 28th International Conference on Advanced Information Networking and Applications (AINA), (pp. 186–193).
21. Yao, X.-W., Wang, W.-L., Wu, T.-C., Yao, X.-M., & Yang, S.-H. (2014). A novel hybrid slot allocation mechanism for 802.11 e EDCA protocol. Information Processing Letters,114, 25–30.
22. Walke, B. H., Mangold, S., & Berlemann, L. (2006). IEEE 802 wireless systems: Protocols, multi-hop mesh/relaying, performance and spectrum coexistence. London: Wiley.
23. Ghazvini, M., Movahedinia, N., & Jamshidi, K. (2012). Carrier sense multiple access tuning parameters using game theory. International Journal of Wireless and Mobile Networks (IJWMN),4, 259–268.
24. Forouzan, A. B. (2006). Data communications and networking (sie). New York: Tata McGraw-Hill Education.
25. Jurdak, R., Lopes, C. V., & Baldi, P. (2004). A survey, classification and comparative analysis of medium access control protocols for ad hoc networks. IEEE Communications Surveys and Tutorials,6, 2–16.
26. Kumar, S., Raghavan, V. S., & Deng, J. (2006). Medium access control protocols for ad hoc wireless networks: A survey. Ad Hoc Networks,4, 326–358.
27. Van den Heuvel-Romaszko, S., & Blondia, C. (2004). A survey of MAC protocols for Ad Hoc networks and IEEE 802.11 (pp. 1–5).
28. Cagalj, M., Ganeriwal, S., Aad, I., & Hubaux, J. P. (2005). On selfish behavior in CSMA/CA networks. In 24th Annual Joint Conference of the IEEE Computer and Communications Societies (pp. 2513–2524).
29. Ayienga, E., Opiyo, E., Manderick, B., & Odongo, O. (2013). Game theory and learning at the medium access control layer for distributed radio resource sharing in random access wireless networks.
30. Nisan, N. (2007). Algorithmic game theory. Cambridge: Cambridge Univ Press.
31. Roughgarden, T. (2010). Algorithmic game theory. Communications of the ACM,53, 78–86.
32. Zhu Han, D. N., Saad, W., Başar, T., & Hjørungnes, A. (2011). Game theory in wireless and communication networks: Theory, models, and applications. Cambridge: Cambridge University Press.
33. Zhang, Y., & Guizani, M. (2011). Game theory for wireless communications and networking. Boca Raton: CRC Press.
34. Apt, K. R., & Grädel, E. (2011). Lectures in game theory for computer scientists. Cambridge: Cambridge Univ Press.
35. Charilas, D. E., & Panagopoulos, A. D. (2010). A survey on game theory applications in wireless networks. Computer Networks, 54, 3421–3430.
36. Felegyhazi, M., & Hubaux, J. P. (2006). Game theory in wireless networks: A tutorial,” Technical Report: LCA-REPORT-2006-002, EPFL2006.
37. Osborne, M. J., & Rubinstein, A. (1994). A course in game theory. Cambridge: MIT press.
38. Altman, E., Azouzi, R. E., & Jiménez, T. (2004). Slotted ALOHA as a game with partial information. Computer Networks,45, 701–713.
39. MacKenzie, A. B., & DaSilva, L. A. (20060). game theory for wireless engineers. Morgan & Claypool.
40. MacKenzie, A. B., & Wicker, S. B. (2001). Game theory and the design of self-configuring, adaptive wireless networks. IEEE Communications Magazine,39, 126–131.
41. Dixit, A. K., & Nalebuff, Ð. (1991). Thinking strategically. New York: WW Norton & Company.
42. Georgiev, V. (2008). Using game theory to analyze wireless ad hoc networks. RWTH Aachen, Department of Computer Science.
43. Mehta, S., & Kwak, K. S. (2010). Application of game theory to wireless networks. In Crisan, M. (Ed.), Convergence and Hybrid Information Technologies, InTech.
44. Srivastava, V., Neel, J., MacKenzie, A. B., Menon, R., DaSilva, L. A., Hicks, J. E., et al. (2005). Using game theory to analyze wireless ad hoc networks. IEEE Commun. Surv. Tutorials,7, 46–56.
45. Srivastava, V., Neel, J., MacKenzie, A. B., Menon, R., DaSilva, L. A., Hicks, J. E., et al. (2005). Using game theory to analyze wireless ad hoc networks. Communications Surveys & Tutorials, IEEE,7, 46–56.
46. Akkarajitsakul, K., Hossain, E., Niyato, D., & Kim, D. (2011). Game theoretic approaches for multiple access in wireless networks: A survey. IEEE Communication Surveys Tutorials,13, 372–395.
47. Chen, L., Cui, T., Low, S. H., & Doyle, J. C. (2007). A game-theoretic model for medium access control, in WICON’07, Austin, Texas.
48. Chen, L., & Leneutre, J. (2008). A game theoretic framework of distributed power and rate control in IEEE 802.11 WLANs. IEEE Journal on Selected Areas in Communications,26, 1128–1137.
49. Huang, W. (2012). Application of game theory in wireless communication networks. Ph.D. Dissertation, Dept. Elec. and Comp. Eng. University of British Columbia.
50. Liao, X., Hao, D., & Sakurai, K. (2011). A taxonomy of game theoretic approaches against attacks in wireless ad hoc networks. Presented at the Symposium on Cryptography and Information Security. Kokura, Japan.
51. Leino, J. (2003). Applications of game theory in ad hoc networks. M.Sc. Thesis, Dept. Eng. PHYS and MTH, Helsinki UNIV. of Tech.
52. Akkarajitsakul, K., Hossain, E., & Niyato, D. (2011). Distributed resource allocation in wireless networks under uncertainty and application of Bayesian game. IEEE Communications Magazine,49, 120–127.
53. Menache, I., & Ozdaglar, A. (2011). Network games: Theory, models, and dynamics. Morgan & Claypool.
54. Lasaulce, S., & Tembine, H. (2011). Game theory and learning for wireless networks: Fundamentals and applications. Academic Press.
55. Van Phan, C. (2014). A game-theoretic framework for opportunistic transmission in wireless networks. In 2014 IEEE Fifth International Conference on Communications and Electronics (ICCE) (pp. 150–154).
56. BenAmmar, N., & Baras, J. S. (2006). Incentive compatible medium access control in wireless networks. In Workshop on Game theory for communications and networks (p. 5).
57. Hatami, N. (2008). Studying misbehavior in csma/ca wireless lans. In 3nd ACM workshop on Performance monitoring and measurement of heterogeneous wireless and wired networks,PM2HW2 N ‘08, 2008 (pp. 145–150).
58. Cagalj, M., Ganeriwal, S. Aad, I., & Hubaux, J. P. (2004). On cheating in CSMA/CA ad hoc networks. In IEEE INFOCOM 2005.
59. Zhang, G., & Zhang, H. (2008). Modelling IEEE 802.11 DCF in wireless LANs as a dynamic game with incompletely information. In IET International Conference on Wireless, Mobile and Multimedia Networks, Mumbai, India (pp. 215–218).
60. Zhang, G., Zhang, H., & Zhao, L. (2007). A novel MAC scheme for wireless LANs from the perspective of game theory. In IET Conference on Wireless, Mobile and Sensor Networks, (CCWMSN07)., Shanghai, China (pp. 112–116).
61. Xiao, Y., Shan, X., & Ren, Y. (2005). Game theory models for IEEE 802.11 DCF in wireless ad hoc networks. IEEE Communications Magazine,43, S22–S26.
62. Chen, L., Low, S. H., & Doyle, J. C. (2007). Contention control: A game-theoretic approach. In 46th IEEE Conference on Decision and Control, New Orleans, LA, (pp. 3428–3434).
63. Cui, T., Chen, L., & Low, S. (2008). A game-theoretic framework for medium access control. IEEE Journal on Selected Areas in Communications,26, 1116–1127.
64. Yang, B., Feng, G., & Guan, X. (2006). Random access in wireless ad hoc networks for throughput maximization. In 9th International Conference on Control, Automation, Robotics and Vision, ICARCV ‘06., (pp. 1–6).
65. Guan, X., Yang, B., Feng, G., & Long, C. (2008). Random access game in ad hoc networks with cooperative and noncooperative users. International Journal Systems, Control Communications,1, 13–30.
66. Yang, B. (2009) Competition, cooperation and cognition in wireless resource allocation. PhD Dissertation, City Univ.of Hong Kong.
67. Fang, Z., & Bensaou, B.(2004). Design and implementation of a MAC scheme for wireless ad-hoc networks based on a cooperative game framework. In IEEE International Conference on Communications (pp. 4034–4038).
68. Mehta, S., & Kwak, K. S. (2010). An energy-efficient MAC protocol in wireless sensor networks: A game theoretic approach. EURASIP Journal on Wireless Communications and Networking,2010, 17.
69. Zhao, L., Zhang, H., & Zhang, J. (2008). Using incompletely cooperative game theory in wireless sensor networks. Wireless Communications and Networking Conference, WCNC,2008, 1483–1488.
70. Zhao, L., Zhang, H., & Zhang, J. (2008). Selfish traffic with rational nodes in WLANs. IEEE Communications Letters,12, 645–647.
71. Zhao, L., Zhang, J., Yang, K., & Zhang, H. (2007). Using incompletely cooperative game theory in mobile ad hoc networks. In IEEE International Conference on Communications,ICC ‘07 (pp. 3401–3406).
72. Zhao, L., Zhang, J., & Zhang, H. (2008). Using incompletely cooperative game theory in wireless mesh networks. IEEE Network,22, 39–44.
73. Zhao, L., Zou, X., Zhang, H., Ding, W., & Zhang, J. (2008). Game-theoretic cross-layer design in WLANs. In International Wireless Communications and Mobile Computing Conference, IWCMC ‘08 (pp. 570–575).
74. Zhao, L., Guo, L., Zhang, J., & Zhang, H. (2009). Game-theoretic medium access control protocol for wireless sensor networks. IET Communications,3, 1274–1283.
75. Zhao, L., Guo, L., Zhang G., Zhang, H., & Yang, K. (2008). An energy-efficient MAC protocol for WSNs: Game-theoretic constraint optimization. In 11th International Conference on Communication Systems, ICCS. (pp. 114–118).
76. Zhao, L., Guo, L., Cong, L., & Zhang, H. (2009). An energy-efficient MAC protocol for WSNs: Game-theoretic constraint optimization with multiple objectives. Wireless Sensor Networks,1, 358–364.
77. Zhao, L., Cong, L., Zhang, H., Ding, W., & Zhang, J. (2008). Game-theoretic EDCA in IEEE 802.11e WLANs. In IEEE 68th Vehicular Technology Conference,VTC Calgary, BC (pp. 1–5).
78. Jin, Y., Miao, H., Liu, H., & Xiong, Y. (2009). An improved backoff algorithm for wireless sensor network based on game theory. In IET International Communication Conference on Wireless Mobile and Computing (CCWMC 2009), Shanghai, China (pp. 197–200).
79. Ghazvini, M., Movahedinia, N., & Jamshidi, K. (2013). A game theory based contention window adjustment for IEEE 802.11 under heavy load. International Journal of Communication Networks and Information Security (IJCNIS), 5, 93–103.
80. Heusse, M., Rousseau, F., Guillier, R., & Duda, A. (2005). Idle sense: An optimal access method for high throughput and fairness in rate diverse wireless LANs. ACM SIGCOMM Computer Communication Review,35, 121–132.
81. Chen, L. (2008). On selfish and malicious behaviors in wireless networks—A non-cooperative game theoretic approach. Ph.D. dissertation, Ecole Nationale Superieure des Telecommunications, Paris.
82. Tinnirello, I., Giarre, L., & Neglia, G. (2009). Medium access in WiFi networks: Strategies of selfish nodes. IEEE Signal Processing Magazine,26, 124–128.
83. Chen, L., Low, S. H., & Doyle, J. C. (2010). Random access game and medium access control design. IEEE/ACM Transactions on Networking,18, 1303–1316.
84. Chen, L., & Leneutre, J. (2009). Efficient medium access control design for autonomous wireless networks—A game theoretic approach. In 34th Conference on Local Computer Networks, LCN 2009., Zurich (pp. 376–383).
85. Wang, F., Younis, O. & Krunz, M. (2006). GMAC: A game-theoretic MAC protocol for mobile ad hoc networks. In 4th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks (pp. 1–9).
86. Sanyal, D. K., Chattopadhyay, M., & Chattopadhyay, S. (2008). Improved performance with novel utility functions in a game-theoretic model of medium access control in wireless networks. In IEEE Region 10 Conference,TENCON Hyderabad (pp. 1–6).
87. Sanyal, D. K., Chattopadhyay, M., & Chattopadhyay, S. (2009). Performance improvement of wireless MAC using non-cooperative games. Adv. Ele. Eng. Comput. Sci.,39, 207–218.
88. He, X., & Tan, L. (2008). Contention access game method in wireless ad-hoc networks. In 4th International Conference on Wireless Communications, Networking and Mobile Computing, WiCOM ‘08 (pp. 1–4).
89. Jin, Y., & Kesidis, G. (2007). Distributed contention window control for selfish users in IEEE 802.11 wireless LANs. IEEE Journal on Selected Areas in Communications,25, 1113–1123.
90. Chen, L., & Leneutre, J. (2007). Selfishness, not always a nightmare: Modeling selfish mac behaviors in wireless mobile ad hoc networks. In 27th International Conference on Distributed Computing Systems (ICDCS’07) (p. 16).
91. Yang, J., & Shi, H. (2010). Two rounds game CSMA algorithm of WSNs. In 2nd International Conference on Networking and Digital Society (ICNDS), Wenzhou (pp. 270–273).
92. Tian, J. (2014). Game-theory model based on carrier sense multiple access protocol in wireless network. Journal of Networks,9, 1603–1609.
93. Rakshit, S., & Guha, R. K. (2005). Fair bandwidth sharing in distributed systems: A game-theoretic approach. IEEE Transactions on Computers,54, 1384–1393.
94. Yan, M., Xiao, L., Du, L., & Huang, L. (2011). On selfish behavior in wireless sensor networks: A game theoretic case study. In Third International Conference on Measuring Technology and Mechatronics Automation (ICMTMA), Shangshai (pp. 752–756).
95. Yang, B., Feng, G., & Guan, X. (2007). Noncooperative random access game via pricing in ad hoc networks. In 46th IEEE Conference on Decision and Control, New Orleans, (pp. 5704–5709).
96. Park, K. J., Hou, J., Basar, T., & Kim, H. (2009). Noncooperative carrier sense game in wireless networks. IEEE Transactions on Wireless Communications,8, 5280–5289.
97. Park, K. J., Choi, J., Hou, J. C., Hu, Y. C., & Lim, H. (2011). Optimal physical carrier sense in wireless networks. Ad Hoc Networks,9, 16–27.
98. Lee, H. J., Kwon, H., Motskin, A., & Guibas, L. (2009). Interference-aware MAC protocol for wireless networks by a game-theoretic approach. In INFOCOM ‘09, Rio de Janeiro (pp. 1854–1862).
99. Tinnirello, I., Giarre, L., & Neglia, G. (2010). A game theoretic approach to MAC design for infrastructure networks. Presented at the 49th IEEE Conference on Decision and Control (CDC), USA.
100. Tinnirello, I., Giarre, L., & Neglia, G. (2011). Achieving fair bandwidth distribution in WiFi networks: A game theoretical approach. Presented at the 18th IFAC World Congress, Milan, Italy.
101. Tinnirello, I., Giarre, L. & Neglia, G. (2011). MAC design for WiFi infrastructure networks: A game-theoretic approach. IEEE Transactions on Wireless Communications (pp. 2510–2522).
102. Konorski, J. (2006). A game-theoretic study of CSMA/CA under a backoff attack. IEEE/ACM Transactions on Networking,14, 1167–1178.
103. Ghazvini, M., Movahedinia, N., & Jamshidi, K. (2013). GTXOP: A game theoretic approach for QoS provisioning using transmission opportunity tuning. PLoS ONE,8, e62925.
104. Wang,F., Younis, O., & Kiunz, M. (2007). Throughput-oriented MAC for mobile networks with variable packet sizes. In 3rd Annual IEEE Communications Society on Sensor and Ad Hoc Communications and Networks, 2006. SECON ‘06, Reston, VA (pp. 421–430).
105. Wang, F., Younis, O., & Krunz, M. (2009). Throughput-oriented MAC for mobile ad hoc networks: A game-theoretic approach. Ad Hoc Networks,7, 98–117.
106. Ghasemi, A., & Faez, K. (2008). A nash power-aware MAC game for ad hoc wireless networks. In IEEE 19th International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC) (pp. 1–5).
107. Ghasemi, A., & Faez, K. (2010). A non-cooperative game approach for power-aware MAC in ad hoc wireless networks. Computer Communications,33, 1440–1451.
108. Long, C., Chi, Q., Guan, X., & Chen, T. (2011). Joint random access and power control game in ad hoc networks with noncooperative users. Ad Hoc Networks,9, 142–151.
109. Kim, H., Lee, H. & Lee, S. (2011). A cross-layer optimization for energy-efficient MAC protocol with delay and rate constraints. In International Conference on Acoustics, Speech and Signal Processing (ICASSP), Prague (pp. 2336–2339).
110. Lim, A. O. & Kado, Y. (2007). Using game theory for power and rate control in wireless ad hoc networks. In SICE Annual Conference Takamatsu (pp. 1166–1170).
111. Shin, H.-J., Shin, D.-R., & Youn, H.-Y. (2004). An efficient backoff scheme for IEEE 802.11 DCF. In Personal Wireless Communications (pp. 180–193).
112. Yao, Y.-C., Wen, J.-H., & Weng, C.-E. (2013). The performance evaluation of IEEE 802.11 e for QoS support in wireless LANs. Wireless Personal Communications,69, 413–425.
113. Alabady, S. A., Salleh, M., & Hasib, A. (2014). Throughput and delay analysis of IEEE 802.11 DCF in the presence of hidden nodes for multi-hop wireless networks. Wireless Personal Communications, 1–21.
114. Bianchi, G. (2000). Performance analysis of the IEEE 802.11 distributed coordination function. IEEE Journal on Selected Areas in Communications,18, 535–547.
115. Ziouva, E., & Antonakopoulos, T. (2002). CSMA/CA performance under high traffic conditions: Throughput and delay analysis. Computer Communications,25, 313–321.
116. Ergen, M., & Varaiya, P. (2005). Throughput analysis and admission control for IEEE 802.11 a. Mobile networks and Applications,10, 705–716.
117. Debnath, T. (2012). A Novel QoS-aware MPEG-4 video delivery algorithm over the lossy IEEE 802.11 WLANs to improve the video quality. Dublin Institute of Technology: School of Electronic and Communications Engineering.
118. Bianchi, G. (1998). IEEE 802.11-saturation throughput analysis. Communications Letters, IEEE,2, 318–320.
119. Chatzimisios, P., Boucouvalas, A. C., & Vitsas, V. (2004). Performance analysis of IEEE 802.11 DCF in presence of transmission errors. Presented at the International Conference on Communications.
120. Bianchi, G., & Tinnirello, I. (2003). Kalman filter estimation of the number of competing terminals in an IEEE 802.11 network. In INFOCOM’03.
121. Vercauteren, T., Toledo, A. L., & Wang, X. (2007). Batch and sequential bayesian estimators of the number of active terminals in an IEEE 802.11 network. IEEE Transactions on Signal Processing,55, 437–450.
122. Deb, K. (2001). Multi-objective optimization using evolutionary algorithms (Vol. 16). London: Wiley.
123. Marler, R. T., & Arora, J. S. (2004). Survey of multi-objective optimization methods for engineering. Structural and multidisciplinary optimization,26, 369–395.
124. Miettinen, K. (1999). Nonlinear multiobjective optimization (Vol. 12). New York: Springer.
125. Stanimirovic, I. P., Zlatanovic, M. L., & Petkovic, M. D. (2011). On the linear weighted sum method for multi-objective optimization. Facta Acta Universitatis,26, 49–63.
126. Houba, H., Tieman, A. F., & Brinksma, R. (1998). The Nash bargaining solution for decision weight utility functions. Economics Letters,60, 41–48.
127. Jiang, A. X., & Leyton-Brown, K. (2009). A tutorial on the proof of the existence of Nash equilibria. University of British Columbia Technical Report TR-2007-25. pdf.
128. Tanaka, K., & Kondo, E. (2005). A sample-based approach to lookup table construction by SVM active learning. In 2005 IEEE International Conference onRobotics and Biomimetics (ROBIO) (pp. 628–633).
129. Hyde, R. (2010) The art of assembly language, 2nd Edition. No Starch Press.