||Cognitive radio is a well-known communication paradigm that can significantly improve spectrum utilization by allowing the cognitive radio users (unlicensed users) to dynamically utilize the licensed spectrum. Studying efficient spectrum allocation mechanism is urgent due to this situation. In this paper, we consider a cognitive radio network consisting of a primary spectrum owner (PO), multiple primary users (PU) and multiple secondary users (SU). We propose a sequential posted-price auction mechanism (SPA) for spectrum sharing in cognitive radio networks where the SUs bid to buy spectrum bands from the PO who acts as the auctioneer, selling idle spectrum bands to make a profit and consider a more general and more realistic case where channels have different qualities. Also, SUs are allowed to express their preferences for each channel separately. That is, each SU submits a vector of bids, one for each channel and purchase the spectrum bands under their own budgets. This mechanism will proceed by the Linear Programming Relaxation (LPR) to achieve the high efficiency of the spectrum allocation which involves the economic properties and the budget limit. Finally, we will show some results to show what performance in terms of utility, revenue and social welfare between our work and the previous.|
|| Akyildiz, Ian F., et al. "NeXt generation/dynamic spectrum access/cognitive radio wireless networks: a survey." Computer Networks 50.13 (2006): 2127-2159.|
 Mitola III, Joseph, and Gerald Q. Maguire Jr. "Cognitive radio: making software radios more personal." Personal Communications, IEEE 6.4 (1999): 13-18.
 周建銘第"技術專欄-感知無線網路", 工研院資通所
 Chen, Kwang‐Cheng, and Ramjee Prasad. "Spectrum Management of Cognitive Radio Networks." Cognitive Radio Networks (2009): 335-355.
 Niyato, Dusit, and Ekram Hossain. "Spectrum trading in cognitive radio networks: A market-equilibrium-based approach." Wireless Communications, IEEE 15.6 (2008): 71-80.
 Gao, Lin, et al. "Spectrum trading in cognitive radio networks: A contract-theoretic modeling approach." Selected Areas in Communications, IEEE Journal on 29.4 (2011): 843-855.
 Wang, Beibei, Yongle Wu, and KJ Ray Liu. "Game theory for cognitive radio networks: An overview." Computer networks 54.14 (2010): 2537-2561.
 Niyato, Dusit, and Ekram Hossain. "Competitive spectrum sharing in cognitive radio networks: a dynamic game approach." Wireless Communications, IEEE Transactions on 7.7 (2008): 2651-2660.
 Niyato, Dusit, and Ekram Hossain. "Competitive pricing for spectrum sharing in cognitive radio networks: Dynamic game, inefficiency of nash equilibrium, and collusion." Selected Areas in Communications, IEEE Journal on 26.1 (2008): 192-202.
 Huang, Jianwei, Randall A. Berry, and Michael L. Honig. "Auction-based spectrum sharing." Mobile Networks and Applications 11.3 (2006): 405-418.
 Myerson, Roger B. "Optimal auction design." Mathematics of operations research 6.1 (1981): 58-73.
 Ma, Miao, and Danny HK Tsang. "Impact of channel heterogeneity on spectrum sharing in cognitive radio networks." Communications, 2008. ICC′08. IEEE International Conference on. IEEE, 2008.
 Khaledi, Mojgan, and Alhussein Abouzeid. "Auction-based spectrum sharing in cognitive radio networks with heterogeneous channels." Information Theory and Applications Workshop (ITA), 2013. IEEE, 2013.
 Bhattacharya, Sayan, et al. "Budget constrained auctions with heterogeneous items." Proceedings of the forty-second ACM symposium on Theory of computing. ACM, 2010.
 Dong, Mo, et al. "Combinatorial auction with time-frequency flexibility in cognitive radio networks." INFOCOM, 2012 Proceedings IEEE. IEEE, 2012.
 Anwar, Sajid, and Mingli Zheng. "Posted price selling and online auctions." Games and Economic Behavior 90 (2015): 81-92.
 Sandhya, E., and C. B. Prasanth. "Marshall-Olkin Discrete Uniform Distribution." Journal of Probability 2014 (2014).
 Lin, How-min. "Heterogeneous Subchannel Sharing with Budget Constraint in Cognitive Radio Networks." (2013).
 Yang, Lei, et al. "Pricing-based decentralized spectrum access control in cognitive radio networks." IEEE/ACM Transactions on Networking (TON) 21.2 (2013): 522-535.