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HandWiki. Resource Monotonicity. Encyclopedia. Available online: https://encyclopedia.pub/entry/37850 (accessed on 23 September 2026).
HandWiki. Resource Monotonicity. Encyclopedia. Available at: https://encyclopedia.pub/entry/37850. Accessed September 23, 2026.
HandWiki. "Resource Monotonicity" Encyclopedia, https://encyclopedia.pub/entry/37850 (accessed September 23, 2026).
HandWiki. (2022, December 02). Resource Monotonicity. In Encyclopedia. https://encyclopedia.pub/entry/37850
HandWiki. "Resource Monotonicity." Encyclopedia. Web. 02 December, 2022.
Resource Monotonicity
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The content is sourced from: https://handwiki.org/wiki/Social:Resource_monotonicity

Resource monotonicity (RM; aka aggregate monotonicity) is a principle of fair division. It says that, if there are more resources to share, then all agents should be weakly better off; no agent should lose from the increase in resources. The RM principle has been studied in various division problems.

monotonicity division

References

  1. Herve Moulin (2004). Fair Division and Collective Welfare. Cambridge, Massachusetts: MIT Press. ISBN 9780262134231. 
  2. Kalai, Ehud (1977). "Proportional solutions to bargaining situations: Intertemporal utility comparisons". Econometrica 45 (7): 1623–1630. doi:10.2307/1913954. http://www.kellogg.northwestern.edu/research/math/papers/179.pdf. 
  3. Segal-Halevi, Erel; Sziklai, Balázs R. (2019-09-01). "Monotonicity and competitive equilibrium in cake-cutting" (in en). Economic Theory 68 (2): 363–401. doi:10.1007/s00199-018-1128-6. ISSN 1432-0479. https://doi.org/10.1007/s00199-018-1128-6. 
  4. Segal-Halevi, Erel; Sziklai, Balázs R. (2018-09-01). "Resource-monotonicity and population-monotonicity in connected cake-cutting" (in en). Mathematical Social Sciences 95: 19–30. doi:10.1016/j.mathsocsci.2018.07.001. ISSN 0165-4896. http://www.sciencedirect.com/science/article/pii/S0165489618300520. 
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