Skip to main content

Stability of Hedonic Coalition Structures: Application to a Supply Chain Game

  • Chapter
  • First Online:
Applications of Multi-Criteria and Game Theory Approaches

Part of the book series: Springer Series in Advanced Manufacturing ((SSAM))

  • 1730 Accesses

Abstract

The goal of this chapter is to provide a study of the coalition formation problem in supply chains using Hedonic cooperative games. The goal is to focus on the problems of (i) coalition structure generation, i.e., formation of coalition structures, such that agents inside a coalition coordinate their activities, but agents of different coalitions will work independently; and (ii) worth sharing, i.e., distribution of the worth generated by the coalition to its agents. We namely demonstrate that when cost-based proportional rule and equal allocation rule are used to divide the total created value, the efficient coalitions always exist and satisfy a set of desirable properties. Further; with the general results, we go deeper into a non-superadditive joint replenishment game with full truckload shipments for which we provide a polynomial algorithmic solution to generate the coalitions

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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

References

  • Bogomolnaia A, Jackson O (2002) The stability of hedonic coalition structures. Games Econ Behav 38:201–230

    Article  MathSciNet  MATH  Google Scholar 

  • Ehud K (1977) Proportional solutions to the bargaining situations: interpersonal utility comparisons. Econometrica 45:1623–1630

    Article  MathSciNet  MATH  Google Scholar 

  • Elomri A, Ghaffari A, Jemai Z, Dallery Y (2012) Coalitions formation and cost allocation for joint replenishment systems. Prod Oper Manag 21(6):1015–1027

    Google Scholar 

  • Feldman B (1999) The proportional value of a cooperative game. Manuscript for a contributed paper at the Economic Society World Congress 2000. www.economitricsociety.org/meetings/wc00:pdf/1140.pdf

  • Hajdukova J (2006) On coalition formation games: a survey. Int Game Theor Rev 8(4):613–641

    Article  MathSciNet  MATH  Google Scholar 

  • Moriarity S (1975) Another approach to allocating joint costs. Account Rev 50(4):791–795

    Google Scholar 

  • Nagarajan M, Sosic G, Zhang H (2011) Stability of group purchasing organizations. Under revision for 2nd-round review at manufacturing and service operation management

    Google Scholar 

  • Netessine S (2009) Supply webs: managing, organizing and capitalizing on global networks of suppliers. In: Kleindorfer P, Wind Y (eds) Network-based strategies and competencies. Wharton Publishing, New Jersey

    Google Scholar 

  • Ortmann K (2000) The proportional value for positive cooperative games. Math Method Oper Res 51:235–248

    Article  MathSciNet  MATH  Google Scholar 

  • Roth AE (1979) Proportional solutions to the bargaining problem. Econometrica 47:775–778

    Article  MathSciNet  MATH  Google Scholar 

  • Shenoy LS (1979) On coalition formation: a game theoretical approach. Int J Game Theor 8:133–164

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Z. Jemai .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag London

About this chapter

Cite this chapter

Elomri, A., Jemai, Z., Ghaffari, A., Dallery, Y. (2014). Stability of Hedonic Coalition Structures: Application to a Supply Chain Game. In: Benyoucef, L., Hennet, JC., Tiwari, M. (eds) Applications of Multi-Criteria and Game Theory Approaches. Springer Series in Advanced Manufacturing. Springer, London. https://doi.org/10.1007/978-1-4471-5295-8_15

Download citation

  • DOI: https://doi.org/10.1007/978-1-4471-5295-8_15

  • Published:

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-5294-1

  • Online ISBN: 978-1-4471-5295-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics