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A proof that the core of an ordinal convex game is a von Neumann-Morgenstern solution
Affiliation:1. Department of Clinical Genetics, Faculty of Medicine, Collegium Medicum, Bydgoszcz, Nicolaus Copernicus University, Toruń, Poland;2. Department of Hematology, Blood Neoplasms and Bone Marrow Transplantation, Medical University, Wrocław, Poland;3. Department of Hematology, Faculty of Medicine, Collegium Medicum in Bydgoszcz, Nicolaus Copernicus University in Toruń, Poland;4. Department of Hematology, Municipal Hospital, Toruń, Poland;1. Department of Chemistry, Institute of Chemistry and Biotechnology, Ilmenau University of Technology, Weimarer Straße 25, 98693 Ilmenau, Germany;2. Department of Physical Chemistry and Micro Reaction Technology, Institute of Chemistry and Biotechnology, Ilmenau University of Technology, Gustav-Kirchhof Straße 1, 98693 Ilmenau, Germany;3. Advanced Microscopy Laboratory, CRANN, Trinity College Dublin, Dublin 2, Ireland;1. Cornell University, Department of Human Development, Ithaca, NY, USA;2. Cornell University, Albert R. Mann Library, Ithaca, NY, USA;3. University College London, Department of Epidemiology and Public Health, London, UK;1. Department of Electrical Engineering, Ayatollah Broujerdi University, Broujerd, Lorstan, CT 06516, Iran;2. The School of Electrical and Computer Engineering, College of Engineering, University of Tehran, Tehran 1439957131, Iran
Abstract:It is proved that the core of an ordinal convex game is a von Neumann-Morgenstern solution. The proof makes a strong use of reduced games of cooperative games without side payments.
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