Pricing of reservations for time-limited spectrum leases under overbooking

With spectrum trading the owners of usage rights on wireless spectrum may transfer them temporarily to other users. A secondary market for spectrum may be implemented through the use of reservation mechanisms, by which prospective consumers of spectrum portions may first book them and decide later whether to actually buy the usage rights. A possible strategy for the owners of usage rights is to practise overbooking, i.e., to allow for more reservations than what they could sell (and then pay a penalty if they cannot satisfy the requests). A relevant problem for the owners of usage rights is to set the price for reservations. An algorithm is proposed here to price reservations in the presence of overbooking. The algorithm is based on the iterative use of the Cox-Ross-Rubinstein approach to price financial call options. The algorithm is then applied to a number of cases and the dependence of the price on the overbooking probability and the penalty is analysed.

[1]  David Starobinski,et al.  Spot Pricing of Secondary Spectrum Access in Wireless Cellular Networks , 2009, IEEE/ACM Transactions on Networking.

[2]  H. Gruber.  3g Mobile Telecommunications Licenses in Europe: A Critical Review , 2006 .

[3]  Nikolaos Georgiopoulos.  Real Options , 2006 .

[4]  John M. Chapin,et al.  COGNITIVE RADIOS FOR DYNAMIC SPECTRUM ACCESS - The Path to Market Success for Dynamic Spectrum Access Technology , 2007, IEEE Communications Magazine.

[5]  R. Vohra,et al.  Spectrum Markets for Wireless Services , 2008, 2008 3rd IEEE Symposium on New Frontiers in Dynamic Spectrum Access Networks.

[6]  Ian F. Akyildiz,et al.  NeXt generation/dynamic spectrum access/cognitive radio wireless networks: A survey , 2006, Comput. Networks.

[7]  Loretta Mastroeni,et al.  Option-based Dynamic Management of Wireless Spectrum , 2009, 2009 Next Generation Internet Networks.

[8]  John M. Chapin,et al.  Time-limited leases in radio systems [Topics in Radio Communications] , 2007, IEEE Communications Magazine.

[9]  S. Ross,et al.  Option pricing: A simplified approach☆ , 1979 .

[10]  Peter G. Klein,et al.  Pricing Black-Scholes options with correlated credit risk , 1996 .

[11]  A. D. Vany,et al.  A Property System for Market Allocation of the Electromagnetic Spectrum: A Legal-Economic-Engineering Study , 1969 .

[12]  Arthur De Vany,et al.  Implementing a Market‐Based Spectrum Policy* , 1998 .

[13]  Shaojie Tang,et al.  Spectrum Bidding in Wireless Networks and Related , 2008, COCOON.

[14]  John W. Mayo,et al.  Enabling efficient wireless communications: The role of secondary spectrum markets , 2010, Inf. Econ. Policy.

[15]  C. Caicedo,et al.  Spectrum Trading: An Analysis of Implementation Issues , 2007, 2007 2nd IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks.

[16]  Loretta Mastroeni,et al.  A real options model for the transferability value of telecommunications licenses , 2010, Ann. des Télécommunications.

[17]  J.E. Mazo,et al.  Digital communications , 1985, Proceedings of the IEEE.

[18]  J. Hull.  Options, Futures, and Other Derivatives , 1989 .

[19]  Herb Johnson,et al.  The Pricing of Options with Default Risk , 1987 .

[20]  Benoit Pierre Freyens.  A policy spectrum for spectrum economics , 2009, Inf. Econ. Policy.

[21]  Ian F. Akyildiz,et al.  Spectrum management in cognitive radio ad hoc networks , 2009, IEEE Network.

[22]  Subhash Suri,et al.  Towards real-time dynamic spectrum auctions , 2008, Comput. Networks.

[23]  L. Doyle,et al.  Towards a Fluid Spectrum Market for Exclusive Usage Rights , 2007, 2007 2nd IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks.

[24]  Shuji Tasaka.  Performance analysis of multiple access protocols , 1986 .

[25]  John A. Stine.  Enabling Secondary Spectrum Markets Using Ad Hoc and Mesh Networking Protocols , 2006, J. Commun..

[26]  William Lehr,et al.  Time-Limited Leases in Radio Systems , 2007 .

[27]  David Starobinski,et al.  Spot pricing of secondary spectrum access in wireless cellular networks , 2009, TNET.

[28]  Adam Wolisz,et al.  Primary user behavior in cellular networks and implications for dynamic spectrum access , 2009, IEEE Communications Magazine.