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HandWiki. Core (Game Theory). Encyclopedia. Available online: https://encyclopedia.pub/entry/28457 (accessed on 22 September 2026).
HandWiki. Core (Game Theory). Encyclopedia. Available at: https://encyclopedia.pub/entry/28457. Accessed September 22, 2026.
HandWiki. "Core (Game Theory)" Encyclopedia, https://encyclopedia.pub/entry/28457 (accessed September 22, 2026).
HandWiki. (2022, October 08). Core (Game Theory). In Encyclopedia. https://encyclopedia.pub/entry/28457
HandWiki. "Core (Game Theory)." Encyclopedia. Web. 08 October, 2022.
Core (Game Theory)
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The content is sourced from: https://handwiki.org/wiki/Software:Core_(game_theory)

In cooperative game theory, the core is the set of feasible allocations that cannot be improved upon by a subset (a coalition) of the economy's agents. A coalition is said to improve upon or block a feasible allocation if the members of that coalition are better off under another feasible allocation that is identical to the first except that every member of the coalition has a different consumption bundle that is part of an aggregate consumption bundle that can be constructed from publicly available technology and the initial endowments of each consumer in the coalition. An allocation is said to have the core property if there is no coalition that can improve upon it. The core is the set of all feasible allocations with the core property.

cooperative game allocation technology

References

  1. Kannai, Y. (1992). "The core and balancedness". Handbook of Game Theory with Economic Applications. I. Amsterdam: Elsevier. pp. 355–395. ISBN 978-0-444-88098-7. 
  2. Gillies, D. B. (1959). "Solutions to general non-zero-sum games". Contributions to the Theory of Games IV. Annals of Mathematics Studies. 40. Princeton: Princeton University Press. pp. 47–85. 
  3. As noted by Shapley, L. S.; Shubik, M. (1969). "On Market Games". Journal of Economic Theory 1 (1): 9–25. doi:10.1016/0022-0531(69)90008-8.  due to the contribution of Mr. E. Kohlberg https://dx.doi.org/10.1016%2F0022-0531%2869%2990008-8
  4. Bondareva, Olga N. (1963). "Some applications of linear programming methods to the theory of cooperative games (In Russian)". Problemy Kybernetiki 10: 119–139. 
  5. Shapley, Lloyd S. (1967). "On balanced sets and cores". Naval Research Logistics Quarterly 14 (4): 453–460. doi:10.1002/nav.3800140404.  https://dx.doi.org/10.1002%2Fnav.3800140404
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