Stochastic Apportionment

@article{Grimmett2004StochasticA,
  title={Stochastic Apportionment},
  author={Geoffrey R. Grimmett},
  journal={The American Mathematical Monthly},
  year={2004},
  volume={111},
  pages={299-307}
}
Geoffrey Grimmett Abstra t. The problem of how to allocate to states the seats in the US House of Representatives is the most studied instance of what is termed the ‘apportionment problem’. We propose a new method of apportionment which is stochastic, which meets the quota condition, and which is fair in the sense of expectations. Two sources of systematic unfairness are identified, firstly the lower bound condition (every state shall receive at least one seat), and secondly the lower quota… CONTINUE READING

From This Paper

Figures, tables, results, connections, and topics extracted from this paper.
2 Extracted Citations
5 Extracted References
Similar Papers

Citing Papers

Publications influenced by this paper.
Showing 1-2 of 2 extracted citations

Referenced Papers

Publications referenced by this paper.
Showing 1-5 of 5 references

Fair Representation, Meeting the Ideal of One Person, One Vote, 2nd edn

  • M. L. Balinski, H. P. Young
  • The Brookings Institution,
  • 2001
Highly Influential
8 Excerpts

Casting and drawing lots, Controlled Trials from History (Chalmers

  • W. A. Silverman, I. Chalmers
  • 2001
1 Excerpt

Dividing the house: Why Congress should reinstate an old apportionment formula, Policy Brief

  • H. P. Young
  • 2001
1 Excerpt

Probability and Random Processes, 3rd edn

  • G. R. Grimmett, D. R. Stirzaker
  • 2001
1 Excerpt

An Introduction to Probability

  • W. Feller
  • Theory and its Applications,
  • 1971
1 Excerpt

Similar Papers

Loading similar papers…