Sharing-group allocation problems |
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| Institution: | 1. Department of Mathematics, Chung-Ang University, Dongjakgu Heukseokdong, Seoul 156-756, Republic of Korea;2. Department of Applied Mathematics, Institute of Mathematical Modeling and Scientific Computing, National Chiao Tung University, 1001, Ta Hsueh Road, Hsinchu 300, Taiwan;3. Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012, USA;1. Department of Economics, Management and Statistics, University of Milano-Bicocca, U6 Building, Piazza dell’Ateneo Nuovo 1, 20126 Milano, Italy;2. Department of Mathematics and Applications, University of Milano-Bicocca, U5 Building, Via Cozzi 55, 20125 Milano, Italy;1. Department of Computer & Software Engineering, Wonkwang University, 53, 460, Iksan-Daero, Iksan, Jeonbuk, South Korea;2. National Institute of Technology Kurukshetra, India;3. Division of Media Software, Sungkyul University, 53, Sungkyuldaehak-ro, Manan-gu, Anyang, Gyeonggi-do, South Korea;1. III. Physikalisches Institut, RWTH Aachen University, D-52056 Aachen, Germany;2. School of Chemistry & Physics, University of Adelaide, Adelaide, SA 5005, Australia;3. Dept. of Physics and Astronomy, University of Alaska Anchorage, 3211 Providence Dr., Anchorage, AK 99508, USA;4. CTSPS, Clark-Atlanta University, Atlanta, GA 30314, USA;5. School of Physics and Center for Relativistic Astrophysics, Georgia Institute of Technology, Atlanta, GA 30332, USA;6. Dept. of Physics, Southern University, Baton Rouge, LA 70813, USA;7. Dept. of Physics, University of California, Berkeley, CA 94720, USA;8. Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA;9. Institut für Physik, Humboldt-Universität zu Berlin, D-12489 Berlin, Germany;10. Fakultät für Physik & Astronomie, Ruhr-Universität Bochum, D-44780 Bochum, Germany;11. Physikalisches Institut, Universität Bonn, Nussallee 12, D-53115 Bonn, Germany;12. Université Libre de Bruxelles, Science Faculty CP230, B-1050 Brussels, Belgium;13. Vrije Universiteit Brussel, Dienst ELEM, B-1050 Brussels, Belgium;14. Dept. of Physics, Chiba University, Chiba 263-8522, Japan;15. Dept. of Physics and Astronomy, University of Canterbury, Private Bag 4800, Christchurch, New Zealand;p. Dept. of Physics, University of Maryland, College Park, MD 20742, USA;q. Dept. of Physics and Center for Cosmology and Astro-Particle Physics, Ohio State University, Columbus, OH 43210, USA;r. Dept. of Astronomy, Ohio State University, Columbus, OH 43210, USA;s. Niels Bohr Institute, University of Copenhagen, DK-2100 Copenhagen, Denmark;t. Dept. of Physics, TU Dortmund University, D-44221 Dortmund, Germany;u. Dept. of Physics, University of Alberta, Edmonton, Alberta T6G 2E1, Canada;v. Erlangen Centre for Astroparticle Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, D-91058 Erlangen, Germany;w. Département de physique nucléaire et corpusculaire, Université de Genève, CH-1211 Genève, Switzerland;x. Dept. of Physics and Astronomy, University of Gent, B-9000 Gent, Belgium;y. Dept. of Physics and Astronomy, University of California, Irvine, CA 92697, USA;z. Dept. of Physics and Astronomy, University of Kansas, Lawrence, KS 66045, USA;11. Dept. of Astronomy, University of Wisconsin, Madison, WI 53706, USA;12. Dept. of Physics and Wisconsin IceCube Particle Astrophysics Center, University of Wisconsin, Madison, WI 53706, USA;13. Institute of Physics, University of Mainz, Staudinger Weg 7, D-55099 Mainz, Germany;14. Université de Mons, 7000 Mons, Belgium;15. Technische Universität München, D-85748 Garching, Germany;16. Bartol Research Institute and Dept. of Physics and Astronomy, University of Delaware, Newark, DE 19716, USA;17. Dept. of Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, UK;18. Physics Department, South Dakota School of Mines and Technology, Rapid City, SD 57701, USA;19. Dept. of Physics, University of Wisconsin, River Falls, WI 54022, USA;110. Oskar Klein Centre and Dept. of Physics, Stockholm University, SE-10691 Stockholm, Sweden;111. Dept. of Physics and Astronomy, Stony Brook University, Stony Brook, NY 11794-3800, USA;112. Dept. of Physics, Sungkyunkwan University, Suwon 440-746, Republic of Korea;113. Dept. of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canada;114. Dept. of Physics and Astronomy, University of Alabama, Tuscaloosa, AL 35487, USA;115. Dept. of Astronomy and Astrophysics, Pennsylvania State University, University Park, PA 16802, USA;1p. Dept. of Physics, Pennsylvania State University, University Park, PA 16802, USA;1q. Dept. of Physics and Astronomy, Uppsala University, Box 516, S-75120 Uppsala, Sweden;1r. Dept. of Physics, University of Wuppertal, D-42119 Wuppertal, Germany;1s. DESY, D-15735 Zeuthen, Germany |
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| Abstract: | We deal with allocation problems among sharing groups. We introduce some allocation rules and axioms. The egalitarian rule is characterized by equal treatment of equal groups, solidarity, and group consistency. |
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