Literaturnachweis - Detailanzeige
| Autor/inn/en | Barbanel, Julius B.; Brams, Steven J. |
|---|---|
| Titel | Two-Person Pie-Cutting: The Fairest Cuts |
| Quelle | In: College Mathematics Journal, 42 (2011) 1, S.25-32 (8 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
| ISSN | 0746-8342 |
| DOI | 10.4169/college.math.j.42.1.025 |
| Schlagwörter | Mathematics Education; Arithmetic; College Mathematics; Mathematics Instruction; Teaching Methods; Higher Education |
| Abstract | Barbanel, Brams, and Stromquist (in 2009) asked whether there exists a two-person moving-knife procedure that yields an envy-free, undominated, and equitable division of a pie. We present two procedures: One yields an envy-free, almost undominated, and almost equitable allocation, whereas the second yields an allocation with the two "almost" removed. The latter, however, requires broadening the definition of a "procedure," which raises philosophical, as opposed to mathematical, issues. An analogous approach for cakes fails because of problems in eliciting truthful preferences. (As Provided). |
| Anmerkungen | Mathematical Association of America. 1529 Eighteenth Street NW, Washington, DC 20036. Tel: 800-741-9415; Tel: 202-387-5200; Fax: 202-387-1208; e-mail: maahq@maa.org; Web site: http://www.maa.org/pubs/cmj.html |
| Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
| Update | 2017/4/10 |
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