N-Person cake-cutting: there may be no perfect division
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References listed on IDEAS
- Brams, Steven J. & Jones, Michael A. & Klamler, Christian, 2010. "Divide-and-conquer: A proportional, minimal-envy cake-cutting algorithm," MPRA Paper 22704, University Library of Munich, Germany.
- I. D. Hill, 2008. "Mathematics and Democracy: Designing Better Voting and Fair-division Procedures," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 171(4), pages 1032-1033.
- Nurmi, Hannu, 1996. "Fair division: From cake-cutting to dispute resolution : Steven J. Brams and Alan D. Taylor, (Cambridge University Press, Cambridge, 1995) pp. xiv + 272, US$ 54.95 (hardcover), US$ 18.95 (paper)," European Journal of Political Economy, Elsevier, vol. 12(1), pages 169-172, April.
- Barbanel, Julius B. & Brams, Steven J., 2011. "Two-person cake-cutting: the optimal number of cuts," MPRA Paper 34263, University Library of Munich, Germany.
- Barbanel, Julius B. & Brams, Steven J., 2010. "Two-person pie-cutting: The fairest cuts," MPRA Paper 22703, University Library of Munich, Germany.
- Barbanel, Julius B. & Brams, Steven J., 2004. "Cake division with minimal cuts: envy-free procedures for three persons, four persons, and beyond," Mathematical Social Sciences, Elsevier, vol. 48(3), pages 251-269, November.
CitationsCitations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
- Soldatos, Gerasimos T., 2014. "On the Religion-Public Policy Correlation," MPRA Paper 60859, University Library of Munich, Germany.
- Orit Arzi & Yonatan Aumann & Yair Dombb, 2016. "Toss one’s cake, and eat it too: partial divisions can improve social welfare in cake cutting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(4), pages 933-954, April.
- repec:wut:journl:v:3:y:2017:p:35-50:id:1330 is not listed on IDEAS
More about this item
KeywordsCake-cutting; fair division; efficiency; envy-freeness; equitability; heterogeneous good;
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
- D30 - Microeconomics - - Distribution - - - General
- D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
- D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
NEP fieldsThis paper has been announced in the following NEP Reports:
- NEP-ALL-2011-10-22 (All new papers)
- NEP-CIS-2011-10-22 (Confederation of Independent States)
- NEP-GTH-2011-10-22 (Game Theory)
- NEP-HPE-2011-10-22 (History & Philosophy of Economics)
- NEP-MIC-2011-10-22 (Microeconomics)
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