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Iterative processes with „nucleolar“ restrictions

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Abstract

Some aspects of the convergence of iterative processes are examined in a general context and a specific iterative process that generalizesStearns' K-transfer schemes is evolved. This yields a simplified proof ofStearns' convergence theorem and an iterative scheme that converges to the nucleolus. Stability and finite convergence properties are shown to hold and various known results on the nucleolus derive as by-products.

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References

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Authors and Affiliations

  1. Department of Mathematics, Hebrew University, Jerusalem, Israel

    M. Justman

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  1. M. Justman
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This paper was written as a Master's thesis at the Hebrew Univeristy of Jerusalem under the supervision of ProfessorB. Peleg. I am gratefully indebted to ProfessorPeleg for his guidance and advice. I also wish to thank ProfessorsAumann andMaschler of this institution for their most helpful criticism of an earlier draft.

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Justman, M. Iterative processes with „nucleolar“ restrictions. Int J Game Theory 6, 189–212 (1977). https://doi.org/10.1007/BF01764426

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  • DOI: https://doi.org/10.1007/BF01764426

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