Skip to main content
Log in

A cooperative game of information trading: The core, the nucleolus and the kernel

  • Published:
Zeitschrift für Operations Research Aims and scope Submit manuscript

Abstract

A certain trade of the information about a technological innovation between the initial owner of the information andn identical producers is studied by means of a cooperative game theoretic approach. The information trading situation is modelled as a cooperative (n+1)-person game with side payments. The symmetrical strong ɛ-cores (including the core), the nucleolus and the kernel of the cooperative game model are determined. Interpretations of these game theoretic solutions and their implications for the information trading problem are given.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Arrow KJ (1962) Economic welfare and the allocation of resources for invention. In: Nelson RR (ed) The rate and direction of inventive activity. Princeton University Press, Princeton, New Jersey

    Google Scholar 

  • Davis M, Maschler M (1965) The kernel of a cooperative game. Naval Res Logist Quart 12:223–259

    Google Scholar 

  • Gillies DB (1953) Some theorems onn-person games. Ph D Thesis. Princeton University Press, Princeton, New Jersey

    Google Scholar 

  • Kamien MI, Tauman Y (1984) The private value of a patent: a game theoretic analysis. J Econom Suppl 4:93–118

    Google Scholar 

  • Kamien MI, Tauman Y (1986) Fees versus royalties and the private value of a patent. Quart J Econom 101:471–491

    Google Scholar 

  • Kamien MI, Tauman Y, Zang I (1988) Optimal license fees for a new product. Math Social Sciences 16:77–106

    Google Scholar 

  • Kats A, Tauman Y (1985) Coalition production economies with divisible and indivisible inputs. J Math Econom 14:19–42

    Google Scholar 

  • Maschler M, Peleg B (1966) A characterization, existence proof and dimension bounds for the kernel of a game. Pacific J Math 18:289–328

    Google Scholar 

  • Maschler M, Peleg B, Shapley LS (1979) Geometric properties of the kernel, nucleolus, and related solution concepts. Math Oper Res 4:303–338

    Google Scholar 

  • Muto S (1987) Possibility of relicensing and patent protection. European Econom Rev 31:927–945

    Google Scholar 

  • Muto S, Nakayama M, Potters J, Tijs SH (1988) On big boss games. Econom Studies Quart 39:303–321

    Google Scholar 

  • Nakayama M (1986) Bargaining for an information good with externalities. Working Paper no 79. Faculty of Economics, Toyama University, Toyama, Japan

    Google Scholar 

  • Schmeidler D (1969) The nucleolus of a characteristic function game. SIAM J Appl Math 17:1163–1170

    Google Scholar 

  • Shapley LS, Shubik M (1963) The core of an economy with nonconvex preferences. RM-3518, The Rand Corporation, Santa Monica, CA

    Google Scholar 

  • Shapley LS, Shubik M (1966) Quasi-cores in a monetary economy with nonconvex preferences. Econometrica 34:805–827

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Driessen, T., Muto, S. & Nakayama, M. A cooperative game of information trading: The core, the nucleolus and the kernel. ZOR Zeitschrift für Operations Research Methods and Models of Operations Research 36, 55–72 (1992). https://doi.org/10.1007/BF01541032

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01541032

Keywords

Navigation