Skip to main content
SpringerLink
Log in
SpringerLink
Log in

What Is Team Theory?

  • Chapter
  • First Online:
Coordination Control of Distributed Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 456))

Abstract

A team problem is a stochastic decision problem with two or more decision makers. The decision is only taken once, there is no time axis as in control theory. The teams strive to optimize a common objective function but have different information to reach their decisions. The team wants to determine an optimum, the global optimum if it exists. To achieve at an optimum, they use the concept of a person-by-person or person-by-person equilibrium. The main problem of team theory is then to determined conditions under which a person-by-person equilibrium is also an optimum or the global optimum, and to compute a person-by-person equilibrium. This chapter restricts attention to what is called static team theory and does not discuss at length dynamic team theory.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
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

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Beckmann M (1958) Decision and team problems in airline reservations. Econometrica 26:134–145

    Article  MATH  Google Scholar 

  2. de Waal PR, van Schuppen JH (2000) A class of team problems with discrete action spaces: optimality conditions based on multimodularity. SIAM J Control Opt 38:875–892

    Article  MATH  Google Scholar 

  3. Ferguson TS (1967) Mathematical statistics: a decision theoretic approach. Academic Press, New York

    MATH  Google Scholar 

  4. Ho YC (1980) Team decision theory and information structures. Proc IEEE 68:644–654

    Article  Google Scholar 

  5. Ho YC, Chu KC (1972) Team decision theory and information structures in optimal control problems—parts I and II. IEEE Trans Control 17:15–28

    Article  MathSciNet  MATH  Google Scholar 

  6. Ho YC, Karstner MP (1978) Market signalling: an example of a two person decision problem with a dynamic information structure. IEEE Trans Autom Control 23:350–361

    Article  MATH  Google Scholar 

  7. Ho YC, Karstner P, Wong E (1978) Teams, signaling and information theory. IEEE Trans Autom Control 23:305–311

    Article  MATH  Google Scholar 

  8. Hurwicz L, Radner R, Reiter S (1975) A stochastic decentralized resource allocation process I. Econometrica 43:187–221

    Article  MathSciNet  MATH  Google Scholar 

  9. Hurwicz L, Radner R, Reiter S (1975) A stochastic decentralized resource allocation process II. Econometrica 43:363–393

    Article  MathSciNet  MATH  Google Scholar 

  10. Krainak J, Speyer JL, Marcus SI (1982) Static team problems—part I: sufficient conditions and the exponential cost criterion. IEEE Trans Autom Control 27:839–848

    Article  MathSciNet  MATH  Google Scholar 

  11. Krainak J, Speyer JL, Marcus SI (1982) Static team problems—part II: affine control laws, projection algorithms, and the LEGT problem. IEEE Trans Autom Control 27:848–859

    Article  MathSciNet  MATH  Google Scholar 

  12. Marschak J (1955) Elements for a theory of teams. Manage Sci 1:127–137

    Article  MathSciNet  MATH  Google Scholar 

  13. Marschak J, Radner R (1972) Economic theory of teams. Yale University Press, New Haven

    MATH  Google Scholar 

  14. Mas-Colell A, Whinston MD, Green JR (1995) Microeconomic theory. Oxford University Press, Oxford

    MATH  Google Scholar 

  15. McGuire CB (1961) Some team models of a sales organization. Manage Sci 7:101–130

    Article  Google Scholar 

  16. McGuire CB, Radner R (1972) Decision and organization, volume 12 of studies in mathematical and managerial Economics. North-Holland Publishing Company, Amsterdam

    Google Scholar 

  17. Pratt JW, Raiffa H, Schlaifer R (2008) Introduction to statistical decision theory. MIT Press, Cambridge

    MATH  Google Scholar 

  18. Radner R (1962) Team decision problems. Ann Math Statist 33:857–881

    Article  MathSciNet  MATH  Google Scholar 

  19. Radner R (1972) Allocation of a scarce resource under uncertainty: an example of a team. In: McGuire CB, Radner R (eds) Decision and organization. North-Holland Publishing Company, Amsterdam, pp 217–236

    Google Scholar 

  20. Radner R, Arrow KJ (1979) Allocation of resources in large teams. Econometrica 47:361–392

    Article  MathSciNet  MATH  Google Scholar 

  21. Schoute FC (1978) Symmetric team problems and multi access wire communication. Autom J IFAC 14:255–269

    Article  MATH  Google Scholar 

  22. Teneketzis D, Varaiya P (1984) Consensus in distributed estimation with inconsistent beliefs. Syst Control Lett 4:217–221

    Article  MathSciNet  MATH  Google Scholar 

  23. van Schuppen J H (2011) Control of distributed stochastic systems—introduction, problems, and approaches. In: Proceedings of IFAC World Congress, pp 6029–6035

    Google Scholar 

  24. Witsenhausen HS (1971) On information structures, feedback and causality. SIAM J Control 9:149–160

    Article  MathSciNet  MATH  Google Scholar 

  25. Standard A (1973) Form for sequential stochastic control. Math Syst Theor 7:5–11

    Article  Google Scholar 

  26. Witsenhausen HS (1988) Equivalent stochastic control problems. Math Control Signals Syst 1:3–11

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Van Schuppen Control Research, Gouden Leeuw 143, 1103 KB, Amsterdam, The Netherlands

    Jan H. van Schuppen

Authors
  1. Jan H. van Schuppen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jan H. van Schuppen .

Editor information

Editors and Affiliations

  1. Delft Institute of Applied Mathematics, Delft University of Technology, Delft, The Netherlands

    Jan H. van Schuppen

  2. Dipartimento d'Informatica, Università degli studi di Verona, Verona, Italy

    Tiziano Villa

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

van Schuppen, J.H. (2015). What Is Team Theory?. In: van Schuppen, J., Villa, T. (eds) Coordination Control of Distributed Systems. Lecture Notes in Control and Information Sciences, vol 456. Springer, Cham. https://doi.org/10.1007/978-3-319-10407-2_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-10407-2_18

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-10406-5

  • Online ISBN: 978-3-319-10407-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation