Pricing plays a central rule to a company’s profitability, and therefore has been extensively studied in the literature of economics. When designing a pricing mechanism/model, an important principle to consider is “price discrimination”, which refers to selling the same resources with different prices according to different values of buyers. To meet the “price discrimination” principle, especially when the number of buyers is large, computational methods, which act in a more accurate and principled way, are usually needed to determine the optimal allocation of sellers’ resources (whom to sell to) and the optimal payment of buyers (what to charge).Nowadays, in the Internet era in which quite a lot of buy and sell processes are conducted through Internet, the design of computational pricing models faces both new challenges and opportunities, considering that (i) nearly realtime interactions between people enable the buyers to reveal their needs and enable the sellers to expose their information in a more expressive manner, (ii) the large-scale interaction data require powerful methods for more efficient processing and enable the sellers to model different buyers in a more precise manner. In this paper, we review recent advances on the analysis and design of computational pricing models for representative Internet industries, e.g., online advertising and cloud computing. In particular, we introduce how computational approaches can be used to analyze buyer’s behaviors (i.e., equilibrium analysis), improve resource utilization (i.e., social welfare analysis), and boost seller’s profit (i.e., revenue analysis). We also discuss how machine learning techniques can be used to better understand buyer’s behaviors and design more effective pricing mechanisms, given the availability of large scale data. Moreover, we make discussions on future research directions on computational pricing, which hopefully can inspire more researchers to contribute to this important domain.
Varian H R. Price discrimination and social welfare. The American Economic Review, 1985, 75(4): 870–875
4
Phlips L. The economics of price discrimination. Cambridge: Cambridge University Press, 1983
5
Weatherford L R, Bodily S E. A taxonomy and research overview of perishable-asset revenue management: yield management, overbooking, and pricing. Operations Research, 1992, 40(5): 831–844 https://doi.org/10.1287/opre.40.5.831
6
McGill J I, Van Ryzin G J. Revenue management: research overview and prospects. Transportation Science, 1999, 33(2): 233–256 https://doi.org/10.1287/trsc.33.2.233
Relihan W J. The yield-management approach to hotel-room pricing. Cornell Hotel and Restaurant Administration Quarterly, 1989, 30(1): 40–45 https://doi.org/10.1177/001088048903000113
9
Bitran G R, Mondschein S V. An application of yield management to the hotel industry considering multiple day stays. Operations Research, 1995, 43(3): 427–443 https://doi.org/10.1287/opre.43.3.427
10
Littlewood K. Forecasting and control of passenger bookings. In: Proceedings of the 12th AGIFORS Annual Symposium. 1972, 95–128
Smith B C, Leimkuhler J F, Darrow R M. Yield management at american airlines. Interfaces, 1992, 22(1): 8–31 https://doi.org/10.1287/inte.22.1.8
13
Brumelle S L, McGill J I. Airline seat allocation with multiple nested fare classes. Operations Research, 1993, 41(1): 127–137 https://doi.org/10.1287/opre.41.1.127
Barth J E. Yield management: opportunities for private club managers. International Journal of Contemporary Hospitality Management, 2002, 14(3): 136–141 https://doi.org/10.1108/09596110210424493
16
Belobaba P. Air travel demand and airline seat inventory management. Technical Report, Cambridge, MA: Flight Transportation Laboratory, Massachusetts Institute of Technology, 1987
17
Bhatia A, Parekh S. Optimal allocation of seats by fare. Presentation by TransWorld Airlines to AGIFORS Reservations Study Group, 1973
18
Richter H. The differential revenue method to determine optimal seat allotments by fare type. In: Proceedings of the 22nd AGIFORS Symposium. 1982
19
Barwise P, Strong C. Permission-based mobile advertising. Journal of Interactive Marketing, 2002, 16(1): 14–24 https://doi.org/10.1002/dir.10000
20
Tsang M M, Ho S C, Liang T P. Consumer attitudes toward mobile advertising: an empirical study. International Journal of Electronic Commerce, 2004, 8(3): 65–78
21
Okazaki S, Katsukura A, Nishiyama M. How mobile advertising works: the role of trust in improving attitudes and recall. Journal of Advertising Research, 2007, 47(2): 165–178 https://doi.org/10.2501/S0021849907070195
22
Dhar S, Varshney U. Challenges and business models for mobile location-based services and advertising. Communications of the ACM, 2011, 54(5): 121–128 https://doi.org/10.1145/1941487.1941515
23
Bart Y, Stephen A T, Sarvary M. Which products are best suited to mobile advertising? a field study of mobile display advertising effects on consumer attitudes and intentions. Journal of Marketing Research, 2014, 51(3): 270–285 https://doi.org/10.1509/jmr.13.0503
Vee E, Vassilvitskii S, Shanmugasundaram J. Optimal online assignment with forecasts. In: Proceedings of the 11th ACM Conference on Electronic Commerce. 2010, 109–118 https://doi.org/10.1145/1807342.1807360
26
Roels G, Fridgeirsdottir K. Dynamic revenue management for online display advertising. Journal of Revenue & Pricing Management, 2009, 8(5): 452–466 https://doi.org/10.1057/rpm.2009.10
27
Vee E, Vassilvitskii S, Shanmugasundaram J. Optimal online assignment with forecasts. In: Proceedings of the 11th ACM Conference on Electronic Commerce. 2010, 109–118 https://doi.org/10.1145/1807342.1807360
28
McAfee R P, Papineni K, Vassilvitskii S. Maximally representative allocations for guaranteed delivery advertising campaigns. Review of Economic Design, 2013, 17(2): 83–94 https://doi.org/10.1007/s10058-013-0141-2
29
Muthukrishnan S. Ad exchanges: research issues. In: Proceedings of International Workshop on Internet and Network Economics. 2009, 1–12 https://doi.org/10.1007/978-3-642-10841-9_1
30
Chen B, Yuan S, Wang J. A dynamic pricing model for unifying programmatic guarantee and real-time bidding in display advertising. In: Proceedings of the 20th ACM SIGKDD Conference on Knowledge Discovery and Data Mining. 2014, 1–9 https://doi.org/10.1145/2648584.2648585
31
Gomes R, Mirrokni V. Optimal revenue-sharing double auctions with applications to ad exchanges. In: Proceedings of the 23rd International Conference on World Wide Web. 2014, 19–28 https://doi.org/10.1145/2566486.2568029
32
Balseiro S R. Competition and yield optimization in ad exchanges. Dissertation for the Doctoral Degree. Now York: Columbia University, 2013
33
Zhang W, Yuan S, Wang J. Optimal real-time bidding for display advertising. In: Proceedings of the 20th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining. 2014, 1077–1086 https://doi.org/10.1145/2623330.2623633
34
Zhang W, Wang J. Statistical arbitrage mining for display advertising. In: Proceedings of the 21st ACM SIGKDD International Conference on Knowledge Discovery and Data Mining. 2015, 1465–1474 https://doi.org/10.1145/2783258.2783269
35
Yuan S, Wang J, Chen B, Mason P, Seljan S. An empirical study of reserve price optimisation in real-time bidding. In: Proceedings of the 20th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining. 2014, 1897–1906 https://doi.org/10.1145/2623330.2623357
36
Yuan S, Wang J, Zhao X. Real-time bidding for online advertising: measurement and analysis. In: Proceedings of the 7th International Workshop on Data Mining for Online Advertising. 2013 https://doi.org/10.1145/2501040.2501980
37
Fain D C, Pedersen J O. Sponsored search: a brief history. Bulletin of the American Society for Information Science and Technology, 2006, 32(2): 12–13 https://doi.org/10.1002/bult.1720320206
38
Qin T, Chen W, Liu T Y. Sponsored search auctions: recent advances and future directions. ACM Transactions on Intelligent Systems and Technology (TIST), 2015, 5(4): 60 https://doi.org/10.1145/2668108
Edelman B, Ostrovsky M, Schwarz M. Internet advertising and the generalized second price auction: selling billions of dollars worth of keywords. Technical Report, National Bureau of Economic Research, 2005 https://doi.org/10.3386/w11765
42
Groves T. Incentives in teams. Econometrica: Journal of the Econometric Society, 1973, 41(4): 617–631 https://doi.org/10.2307/1914085
43
Nash J F. Equilibrium points in n-person games. Proceedings of the National Academy of Sciences of the United States of America, 1950, 36(1): 48–49 https://doi.org/10.1073/pnas.36.1.48
Cary M, Das A, Edelman B, Giotis I, Heimerl K, Karlin A R, Mathieu C, Schwarz M. Greedy bidding strategies for keyword auctions. In: Proceedings of the 8th ACM Conference on Electronic Commerce. 2007, 262–271 https://doi.org/10.1145/1250910.1250949
46
Bu T M, Deng X, Qi Q. Dynamics of strategic manipulation in adwords auction. In: Proceedings of the 3rd Workshop on Ad Auctions. 2007
47
Nisan N, Schapira M, Valiant G, Zohar A. Best-response auctions. In: Proceedings of the 12th ACM Conference on Electronic Commerce. 2011, 351–360 https://doi.org/10.1145/1993574.1993633
48
Zhou Y, Lukose R. Vindictive bidding in keyword auctions. In: Proceedings of the 9th International Conference on Electronic Commerce. 2007, 141–146 https://doi.org/10.1145/1282100.1282130
49
Liang L, Qi Q. Cooperative or vindictive: bidding strategies in sponsored search auction. In: Proceedings of the International Workshop on Web and Internet Economics. 2007, 167–178 https://doi.org/10.1007/978-3-540-77105-0_18
50
Che Y K, Choi S, Kim J. An experimental study of sponsored-search auctions. In: Proceedings of International Conference on Auctions, Market Mechanisms and Their Applications. 2011 https://doi.org/10.2139/ssrn.1818522
51
Fukuda E, Kamijo Y, Takeuchi A, Masui M, Funaki Y. Theoretical and experimental investigations of the performance of keyword auction mechanisms. The RAND Journal of Economics, 2013, 44(3): 438–461 https://doi.org/10.1111/1756-2171.12026
52
Noti G, Nisan N, Yaniv I. An experimental evaluation of bidders’ behavior in ad auctions. In: Proceedings of the 23rd International Conference on World Wide Web. 2014, 619–630 https://doi.org/10.1145/2566486.2568004
53
Lahaie S. An analysis of alternative slot auction designs for sponsored search. In: Proceedings of the 7th ACM Conference on Electronic Commerce. 2006, 218–227 https://doi.org/10.1145/1134707.1134731
54
Leme R P, Tardos E. Pure and bayes-nash price of anarchy for generalized second price auction. In: Proceedings of the 51st Annual IEEE Symposium on Foundations of Computer Science. 2010, 735–744 https://doi.org/10.1109/focs.2010.75
55
Caragiannis I, Kaklamanis C, Kanellopoulos P, Kyropoulou M. On the efficiency of equilibria in generalized second price auctions. In: Proceedings of the 12th ACM Conference on Electronic Commerce. 2011, 81–90 https://doi.org/10.1145/1993574.1993588
56
Lucier B, Paes Leme R. Gsp auctions with correlated types. In: Proceedings of the 12th ACM Conference on Electronic Commerce. 2011, 71–80 https://doi.org/10.1145/1993574.1993587
57
Ding W, Wu T, Qin T, Liu T Y. Pure price of anarchy for generalized second price auction. 2013, arXiv preprint arXiv: 1305.5404
58
Caragiannis I, Kaklamanis C, Kanellopoulos P, Kyropoulou M, Lucier B, Leme R P, Tardos É. Bounding the inefficiency of outcomes in generalized second price auctions. Journal of Economic Theory, 2015, 156: 343–388 https://doi.org/10.1016/j.jet.2014.04.010
59
Thompson D R M, Leyton-Brown K. Computational analysis of perfect-information position auctions. In: Proceedings of the 10th ACM Conference on Electronic Commerce. 2009, 51–60 https://doi.org/10.1145/1566374.1566382
60
Lucier B, Paes Leme R, Tardos E. On revenue in the generalized second price auction. In: Proceedings of the 21st International Conference on World Wide Web. 2012, 361–370 https://doi.org/10.1145/2187836.2187886
61
Lahaie S, Pennock D M. Revenue analysis of a family of ranking rules for keyword auctions. In: Proceedings of the 8th ACM Conference on Electronic Commerce. 2007, 50–56 https://doi.org/10.1145/1250910.1250918
62
Lahaie S, McAfee R P. Efficient ranking in sponsored search. In: Proceedings of International Workshop on Internet and Network Economics. 2011, 254–265 https://doi.org/10.1007/978-3-642-25510-6_22
63
Thompson D R, Leyton-Brown K. Revenue optimization in the generalized second-price auction. In: Proceedings of the 14th ACM Conference on Electronic Commerce. 2013, 837–852 https://doi.org/10.1145/2492002.2482612
64
Sun Y, Zhou Y, Deng X. Optimal reserve prices in weighted gsp auctions: theory and experimental methodology. In: Proceedings of Workshop on Ad Auctions. 2011
65
Ostrovsky M, Schwarz M. Reserve prices in internet advertising auctions: a field experiment. In: Proceedings of the 12th ACM Conference on Electronic Commerce. 2011, 59–60 https://doi.org/10.1145/1993574.1993585
66
Mohri M, Medina A M. Learning theory and algorithms for revenue optimization in second price auctions with reserve. In: Proceedings of the 31st International Conference on Machine Learning. 2014, 262–270
67
Mohri M, Medina A M. Non-parametric revenue optimization for generalized second price auctions. 2015, arXiv preprint arXiv:1506.02719
Auer P, Cesa-Bianchi N, Fischer P. Finite-time analysis of the multiarmed bandit problem. Machine Learning, 2002, 47(2-3): 235–256 https://doi.org/10.1023/A:1013689704352
71
Auer P, Cesa-Bianchi N, Freund Y, Schapire R E. The nonstochastic multiarmed bandit problem. SIAM Journal on Computing, 2002, 32(1): 48–77 https://doi.org/10.1137/S0097539701398375
72
Babaioff M, Sharma Y, Slivkins A. Characterizing truthful multiarmed bandit mechanisms. In: Proceedings of the 10th ACM Conference on Electronic Commerce. 2009, 79–88 https://doi.org/10.1145/1566374.1566386
73
Devanur N R, Kakade S M. The price of truthfulness for pay-per-click auctions. In: Proceedings of the 10th ACM Conference on Electronic Commerce. 2009, 99–106 https://doi.org/10.1145/1566374.1566388
74
Gatti N, Lazaric A, Trovò F. A truthful learning mechanism for contextual multi-slot sponsored search auctions with externalities. In: Proceedings of the 13th ACM Conference on Electronic Commerce. 2012, 605–622 https://doi.org/10.1145/2229012.2229057
75
Babaioff M, Kleinberg R D, Slivkins A. Truthful mechanisms with implicit payment computation. In: Proceedings of the 11th ACM Conference on Electronic Commerce. 2010, 43–52 https://doi.org/10.1145/1807342.1807349
76
Xu M, Qin T, Liu T Y. Estimation bias in multi-armed bandit algorithms for search advertising. Advances in Neural Information Processing Systems, 2013
77
McKelvey R D, Palfrey T R. Quantal response equilibria for normal form games. Games and Economic Behavior, 1995, 10(1): 6–38 https://doi.org/10.1006/game.1995.1023
78
Wright J R, Leyton-Brown K. Beyond equilibrium: predicting human behavior in normal-form games. In: Proceedings of the 24th AAAI Conference on Artificial Intelligence. 2010 https://doi.org/10.1145/1807406.1807449
79
Duong Q, Lahaie S. Discrete choice models of bidder behavior in sponsored search. In: Proceedings of International Workshop on Internet and Network Economics. 2011, 134–145 https://doi.org/10.1007/978-3-642-25510-6_12
80
Rong J, Qin T, An B. Quantal response equilibrium for sponsored search auctions: computation and inference. In: Proceedings of the 10th Workshop on Ad Auctions, in conjunction with the 15th ACM Conference on Electronic Commerce. 2014
81
Rong J, Qin T, An B. Computing quantal response equilibrium for sponsored search auctions. In: Proceedings of the 2015 International Conference on Autonomous Agents and Multiagent Systems. 2015, 1803–1804
82
He D, Chen W, Wang L, Liu T Y. A game-heoretic machine learning approach for revenue maximization in sponsored search. In: Proceedings of the 23rd International Joint Conference on Artificial Intelligence. 2013, 206–212
83
Tian F, Li H, Chen W, Qin T, Chen E, Liu T Y. Agent behavior prediction and its generalization analysis. In: Proceedings of the 28th AAAI Conference on Artificial Intelligence. 2014
84
Cogburn R. Markov chains in random environments: the case of markovian environments. The Annals of Probability, 1980, 908–916 https://doi.org/10.1214/aop/1176994620
85
Li H, Tian F, Chen W, Qin T, Ma Z M, Liu T Y. Generalization analysis for game-theoretic machine learning. In: Proceedings of the 29th AAAI Conference on Artificial Intelligence. 2015
86
Xu H, Gao B, Yang D, Liu T Y. Predicting advertiser bidding behaviors in sponsored search by rationality modeling. In: Proceedings of the 22nd International Conference on World Wide Web. 2013, 1433–1444 https://doi.org/10.1145/2488388.2488513
87
Mohri M, Munoz A. Revenue optimization against strategic buyers. In: Proceedings of Advances in Neural Information Processing Systems. 2015, 2521–2529
88
Cesa-Bianchi N, Gentile C, Mansour Y. Regret minimization for reserve prices in second-price auctions. In: Proceedings of the 24th Annual ACM-SIAM Symposium on Discrete Algorithms. 2013, 1190–1204 https://doi.org/10.1137/1.9781611973105.86
Bartlett P L, Mendelson S. Rademacher and Gaussian complexities: risk bounds and structural results. Journal of Machine Learning Research, 2003, 3: 463–482
91
Samimi P, Patel A. Review of pricing models for grid & cloud computing. In: Proceedings of IEEE Symposium on Computers & Informatics. 2011, 634–639 https://doi.org/10.1109/isci.2011.5958990
92
Pal R, Hui P. Economic models for cloud service markets. In: Proceedings of the International Conference on Distributed Computing and Networking. 2012, 382–396 https://doi.org/10.1007/978-3-642-25959-3_28
93
Mihailescu M, Teo Y M. Dynamic resource pricing on federated clouds. In: Proceedings of the 10th IEEE/ACM International Conference on Cluster, Cloud and Grid Computing. 2010, 513–517 https://doi.org/10.1109/ccgrid.2010.123
94
Bontis N, Chung H. The evolution of software pricing: from box licenses to application service provider models. Internet Research, 2000, 10(3): 246–255 https://doi.org/10.1108/10662240010331993
95
Niu D, Feng C, Li B. Pricing cloud bandwidth reservations under demand uncertainty. In: Proceedings of ACM SIGMETRICS Performance Evaluation Review. 2012, 151–162 https://doi.org/10.1145/2254756.2254776
96
Yeo C S, Venugopal S, Chu X, Buyya R. Autonomic metered pricing for a utility computing service. Future Generation Computer Systems, 2010, 26(8): 1368–1380 https://doi.org/10.1016/j.future.2009.05.024
97
Doerr J, Benlian A, Vetter J, Hess T. Pricing of content services–an empirical investigation of music as a service. In: Nelson M L, Shaw M J, Strader T J, eds. Sustainable e-Business Management. Lecture Notes in Business Information Processing, Vol 58. Springer, 2010, 13–24 https://doi.org/10.1007/978-3-642-15141-5_2
98
Wang H, Jing Q, Chen R, He B, Qian Z, Zhou L. Distributed systems meet economics: pricing in the cloud. In: Proceedings of the 2nd USENIX Conference on Hot Topics in Cloud Computing. 2010
99
Macías M, Guitart J. A genetic model for pricing in cloud computing markets. In: Proceedings of the 2011 ACM Symposium on Applied Computing. 2011, 113–118 https://doi.org/10.1145/1982185.1982216
100
Xu H, Li B. Maximizing revenue with dynamic cloud pricing: the infinite horizon case. In: Proceedings of the 2012 IEEE International Conference on Communications. 2012, 2929–2933 https://doi.org/10.1109/ICC.2012.6364013
101
Truong-Huu T, Tham C K. A game-theoretic model for dynamic pricing and competition among cloud providers. In: Proceedings of the 6th IEEE/ACM International Conference on Utility and Cloud Computing. 2013, 235–238 https://doi.org/10.1109/ucc.2013.48
102
Bellman R. A markovian decision process. Technical Report, DTIC Document, 1957
103
Xu B, Qin T, Qiu G, Liu T Y. Optimal pricing for the competitive and evolutionary cloud market. In: Proceedings of the 24th International Conference on Artificial Intelligence. 2015, 139–145
104
Zhang Q, Wang H, Chen Y, Qin T, Yan Y, Moscibroda T. A shapley value approach for cost allocation in the cloud. In: Proceedings of the ACM Symposium on Cloud Computing. 2015
105
Zaman S, Grosu D. An online mechanism for dynamic VM provisioning and allocation in clouds. In: Proceedings of the 5th IEEE International Conference on Cloud Computing. 2012, 253–260 https://doi.org/10.1109/cloud.2012.26
106
Mashayekhy L, Nejad M M, Grosu D, Vasilakos A V. Incentivecompatible online mechanisms for resource provisioning and allocation in clouds. In: Proceedings of the 7th IEEE International Conference on Cloud Computing. 2014, 312–319
107
Zhang H, Li B, Jiang H, Liu F, Vasilakos A V, Liu J. A framework for truthful online auctions in cloud computing with heterogeneous user demands. In: Proceedings of IEEE INFOCOM. 2013, 1510–1518 https://doi.org/10.1109/infcom.2013.6566946
108
Wang C, Ma W, Qin T, Chen X, Hu X, Liu T Y. Selling reserved instances in cloud computing. In: Proceedings of the 24th International Conference on Artificial Intelligence. 2015, 224–230
109
Shi W, Zhang L, Wu C, Li Z, Lau F. An online auction framework for dynamic resource provisioning in cloud computing. In: Proceedings of the 2014 ACM International Conference on Measurement and Modeling of Computer Systems. 2014, 71–83 https://doi.org/10.1145/2591971.2591980
110
Zhang L, Li Z, Wu C. Dynamic resource provisioning in cloud computing: a randomized auction approach. In: Proceedings of IEEE INFOCOM. 2014, 433–441 https://doi.org/10.1109/infocom.2014.6847966
111
Zhang X, Huang Z, Wu C, Li Z, Lau F C. Online auctions in IaaS clouds: Welfare and profit maximization with server costs. In: Proceedings of the 2015 ACM SIGMETRICS International Conference on Measurement and Modeling of Computer Systems. 2015, 3–15 https://doi.org/10.1145/2745844.2745855
112
Wang W, Li B, Liang B. To reserve or not to reserve: optimal online multi-instance acquisition in IaaS clouds. 2013, arXiv preprint arXiv:1305.5608
113
Javadi B, Thulasiram R K, Buyya R. Statistical modeling of spot instance prices in public cloud environments. In: Proceedings of the 4th IEEE International Conference on Utility and Cloud Computing. 2011, 219–228 https://doi.org/10.1109/ucc.2011.37
114
Agmon Ben-Yehuda O, Ben-Yehuda M, Schuster A, Tsafrir D. Deconstructing Amazon EC2 spot instance pricing. ACM Transactions on Economics and Computation, 2013, 1(3): 16 https://doi.org/10.1145/2509413.2509416
115
Yi S, Andrzejak A, Kondo D. Monetary cost-aware checkpointing and migration on amazon cloud spot instances. IEEE Transactions on Services Computing, 2012, 5(4): 512–524 https://doi.org/10.1109/TSC.2011.44
116
Yi S, Kondo D, Andrzejak A. Reducing costs of spot instances via checkpointing in the amazon elastic compute cloud. In: Proceedings of the 3rd IEEE International Conference on Cloud Computing. 2010, 236–243 https://doi.org/10.1109/cloud.2010.35
117
Tang S, Yuan J, Li X Y. Towards optimal bidding strategy for amazon EC2 cloud spot instance. In: Proceedings of the 5th IEEE International Conference on Cloud Computing. 2012, 91–98 https://doi.org/10.1109/cloud.2012.134
Zheng L, Joe-Wong C, Tan C W, Chiang M, Wang X. How to bid the cloud. In: Proceedings of the 2015 ACM Conference on Special Interest Group on Data Communication. 2015, 71–84 https://doi.org/10.1145/2785956.2787473
120
Zhang Q, Zhu Q, Boutaba R. Dynamic resource allocation for spot markets in cloud computing environments. In: Proceedings of the 4th IEEE International Conference on Utility and Cloud Computing. 2011, 178–185 https://doi.org/10.1109/ucc.2011.33
121
Chen J, Wang C, Zhou B B, Sun L, Lee Y C, Zomaya A Y. Tradeoffs between profit and customer satisfaction for service provisioning in the cloud. In: Proceedings of the 20th International Symposium on High Performance Distributed Computing. 2011, 229–238 https://doi.org/10.1145/1996130.1996161
122
Song K, Yao Y, Golubchik L. Exploring the profit-reliability tradeoff in Amazon’s spot instance market: a better pricing mechanism. In: Proceedings of the 21st IEEE/ACM International Symposium on Quality of Service. 2013, 1–10
123
Ma W, Zheng B, Qin T, Tang P, Liu T Y. Online mechanism design for cloud computing. 2014, arXiv preprint arXiv:1403.1896
124
Wang W, Liang B, Li B. Revenue maximization with dynamic auctions in IaaS cloud markets. In: Proceedings of the 21st IEEE/ACM International Symposium on Quality of Service. 2013, 1–6 https://doi.org/10.1109/iwqos.2013.6550265
125
Macías M, Guitart J. A genetic model for pricing in cloud computing markets. In: Proceedings of the 2011 ACM Symposium on Applied Computing. 2011, 113–118 https://doi.org/10.1145/1982185.1982216
Cardinaels E, Roodhooft F, Warlop L. The value of activity-based costing in competitive pricing decisions. Journal of Management Accounting Research, 2004, 16(1): 133–148 https://doi.org/10.2308/jmar.2004.16.1.133
128
Niyato D, Hossain E. Competitive pricing for spectrum sharing in cognitive radio networks: dynamic game, inefficiency of Nash equilibrium, and collusion. IEEE Journal on Selected Areas in Communications, 2008, 26(1): 192–202 https://doi.org/10.1109/JSAC.2008.080117
129
Liu D, Chen J, Whinston A. Competing keyword auctions. In: Proceedings of the 4th Workshop on ad Auctions. 2008
130
Gonen R. Characterizing optimal syndicated sponsored search market design. In: Proceedings of the 5th Workshop on Ad Auctions. 2009
131
Ashlagi I, Monderer D, Tennenholtz M. Simultaneous ad auctions. Mathematics of Operations Research, 2011, 36(1): 1–13 https://doi.org/10.1287/moor.1100.0475
132
Bengio Y. Learning deep architectures for AI. Foundations and Trends® in Machine Learning, 2009, 2(1): 1–127 https://doi.org/10.1561/2200000006