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References

These are the main references this project aligns with (notation/definitions vary by source).

Books (core references)

  • Moulin, H. Axioms of Cooperative Decision Making.
  • Peleg, Bezalel, and Peter Sudholter. 2007. Introduction to the Theory of Cooperative Games. 2nd ed. Springer. DOI: https://doi.org/10.1007/978-3-540-72945-7
  • Broad coverage of cooperative games with and without transferable utility (TU/NTU).
  • Chakravarty, Satya R., Manipushpak Mitra, and Palash Sarkar. 2014. A Course on Cooperative Game Theory. Cambridge University Press. DOI: https://doi.org/10.1017/CBO9781107415997
  • A comprehensive introduction with many examples and exercises.
  • Branzei, Rodica; Tijs, Stef; Dimitrov, Dinko. 2008. Models in Cooperative Game Theory. 2nd ed. Springer.
  • Mathematical models for TU and NTU games, with applications in economics and social sciences.
  • Driessen, Theo. 1988. Cooperative Games, Solutions and Applications. Springer. DOI: https://doi.org/10.1007/978-94-015-7787-8
  • Classic text on solution concepts (core, nucleolus, \(\tau\) value, etc.).
  • Aumann, Robert J., & Hart, Sergiu (eds.). Handbook of Game Theory with Economic Applications.
  • Volumes 1-2 contain extensive chapters on cooperative game theory; volumes 3-4 also contain relevant sections.
  • Chalkiadakis, Georgios; Elkind, Edith; Wooldridge, Michael J. 2012. Computational Aspects of Cooperative Game Theory. Morgan & Claypool.
  • Focus on computational aspects, complexity, representations, and algorithms.

Classic papers / concepts

  • Shapley value (1953): original axiomatization.
  • Bondareva-Shapley theorem (balancedness / non-emptiness of the core).
  • Schmeidler's nucleolus (1969).

Notes:

  • In the docs, we cite these sources at the point of use and keep this page as a central bibliography.