The aggregate-monotonic core
We introduce the aggregate-monotonic core as the set of allocations of a transferable utility cooperative game attainable by single-valued solutions that satisfy core-selection and aggregate-monotonicity. We provide a necessary and sufficient condition for the coincidence of the core and the aggregate-monotonic core. Finally, we introduce upper and lower aggregate-monotonicity for set-valued solutions, and characterize the aggregate-monotonic core using core-selection and upper and lower aggregate-monotonicity.
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- David Housman & (*), Lori Clark, 1998. "Note Core and monotonic allocation methods," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(4), pages 611-616.
- Ichiishi, T, 1990. "Comparative Cooperative Game Theory," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(2), pages 139-152.
- Moulin, H, 1990. "Cores and Large Cores When Population Varies," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(2), pages 219-232.
- J. R. G. van Gellekom & J. A. M. Potters & J. H. Reijnierse, 1999. "Prosperity properties of TU-games," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(2), pages 211-227.
- Kannai, Yakar, 1992. "The core and balancedness," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 12, pages 355-395 Elsevier.
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