Skip to main content

Part of the book series: Springer Theses ((Springer Theses))

Abstract

Most of today’s networks, called integrated services networks support the delivery of a variety of services to their users each with its own quality of service (QoS) requirements (e.g. delay, percentage of packet loss, jitter, etc.). As the number of services offered by the network and the demand for the services increase, the need for efficient network operation increases. One of the key factors that contributes to efficient network operation is the efficient utilization of the network’s resources.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    During the play of the game at each link \(l\in \mathbf {L}\), each user of link \(l\) learns the set of the other users competing for bandwidth at \(l\).

  2. 2.

    We consider only the s where \(|\mathcal G ^l|\ge 2\). If \(|\mathcal G ^l|=1\) and \(i \in \mathcal G ^l\), then \(t_i^l=0 \cdot 1\{x_i \le c_l\}+\frac{1\{x_i > c_l\}}{1-1\{x_i > c_l\}}\).

  3. 3.

    Therefore, when A and B (both) hold, then \(\frac{1\{A\}1\{B\}}{1-1\{A\}1\{B\}}\approx \frac{1}{0^+}\) is well defined and it becomes a large number.

References

  1. Mas-Colell A, Whinston MD, Green JR (2005) Microeconomic theory. Oxford University Press

    Google Scholar 

  2. Acemoglu D, Bimpkis K, Ozdaglar A (2009) Price and capacity competition. Game Econ Behav 50:1–26

    Article  Google Scholar 

  3. Acemoglu D, Ozdaglar A (2007) Competition and efficiency in congested markets. Math Oper Res 32:1–31

    Article  MathSciNet  MATH  Google Scholar 

  4. Acemoglu D, Johari R, Ozdaglar A (2007) Partially optimal routing. IEEE J Sel Areas Commun 25(6):1148–1160

    Article  Google Scholar 

  5. Kelly F (1994) On tariffs, policing and admission control for multi-service networks. Oper Res Lett 15:1–9

    Article  MATH  Google Scholar 

  6. Kelly F, Maulloo A, Tan D (1998) Rate control for communication networks: shadow prices, proportional fairness and stability. Oper Res Soc 49:237–252

    MATH  Google Scholar 

  7. Hajek B, Yang S (2004) Strategic buyers in a sum-bid game for flat networks, preprint

    Google Scholar 

  8. Johari R, Tsitsiklis J (2004) Efficiency loss in a network resource allocation game. Math Oper Res 29(3):407–435

    Article  MathSciNet  MATH  Google Scholar 

  9. Johari R, Tsitsiklis J (2005) Communication requirement of vcg-like mechanisms in convex environments. In: Proceedings of the 43rd annual allerton conference on communication, control and computing

    Google Scholar 

  10. Lazar A, Semret N (1997) The progressive second price auction mechanism for network resource sharing. In: Proceedings of the international symposium on dynamic games and applications

    Google Scholar 

  11. Lazar A, Semret N (1999) Design and analysis of the progressive second price auction for network bandwidth sharing, Telecommunication systems—special issue on network economics

    Google Scholar 

  12. Maheswaren R, Basar T (2003) Nash equilibrium and decentralized negotiation in auctioning divisible resources. J Group Decis Negot 13(2)

    Google Scholar 

  13. Maheswaren R, Basar T (2004) Social welfare of selfish agents: Motivating efficiency for divisible resources. In: Proceedings of control and decision conferences (CDC)

    Google Scholar 

  14. Stoenescu T, Ledyard J (2008) Nash implementation for resource allocation network problems with production

    Google Scholar 

  15. Yang S, Hajek B (2007) Vcg-kelly mechanisms for allocation of divisible goods: adapting vcg mechanisms to one-dimensional signals. IEEE J Sel Areas Commun 25(6):1237–1243

    Article  Google Scholar 

  16. Jain R, Walrand J (2010) An efficient nash-implementation mechanism for divisible resource allocation. Automatica 46(8):1276–1283

    Article  MathSciNet  MATH  Google Scholar 

  17. Vickrey W (1961) Counter speculation, auctions, and sealed tenders. J Finance 16:8–37

    Article  Google Scholar 

  18. Clarke E (1971) Multipart pricing of public good. Public Choice 2:19–33

    Google Scholar 

  19. Groves T (1973) Incentive in teams. Econometrica 41(4):617–631

    Article  MathSciNet  MATH  Google Scholar 

  20. Yang S, Hajek B (2006) Revenue and stability of a mechanism for efficient allocation of a divisible good

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ali Kakhbod .

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer Science+Business Media New York

About this chapter

Cite this chapter

Kakhbod, A. (2013). Unicast Service Provisioning. In: Resource Allocation in Decentralized Systems with Strategic Agents. Springer Theses. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6319-1_3

Download citation

  • DOI: https://doi.org/10.1007/978-1-4614-6319-1_3

  • Published:

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-6318-4

  • Online ISBN: 978-1-4614-6319-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics