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A Law of Large Numbers for Weighted Majority [article]

Olle Haggstrom and Gil Kalai and Elchanan Mossel
2004 arXiv   pre-print
The notion of influence of a voter or its voting power is relevant for extensions of the weak law of large numbers for voting rules which are more general than simple majority.  ...  We prove an extension of the weak law of large numbers to weighted majority games when all individual effects are small and show that this result does not apply to any voting rule which is not based on  ...  The authors are grateful to Yuval Peres for fruitful discussions. References [1] Berger, N., C. Kenyon, E. Mossel and Y.  ... 
arXiv:math/0406509v1 fatcat:ghr3ydh2xrhotglxum7ehblowu

A law of large numbers for weighted majority

Olle Häggström, Gil Kalai, Elchanan Mossel
2006 Advances in Applied Mathematics  
The notion of influence of a voter or its voting power is relevant for extensions of the weak law of large numbers for voting rules which are more general than simple majority.  ...  We prove an extension of the weak law of large numbers to weighted majority games when all individual effects are small and show that this result does not apply to any voting rule which is not based on  ...  Acknowledgments The authors are grateful to Yuval Peres for fruitful discussions, as well as to an anonymous referee for careful reading and insightful comments.  ... 
doi:10.1016/j.aam.2005.08.002 fatcat:fr2n25fsxncvrj27idebfhjk7i

Party realignments and the growth of federal economic regulation, 1861?1986

Kathleen A. Kemp
1989 Journal of financial services research  
The war laws, while relatively few in number, were very powerful, having a mean weight of 7.8.  ...  In this article, I use the measure of the number of laws adopted per Congressional session and number of laws weighted to take account of differences in the scope and power of the laws.  ... 
doi:10.1007/bf00130739 fatcat:72as3x3mo5gjrghlj3l2spbage

Page 952 of The Solicitors' Journal Vol. 4, Issue [page]

1860 The Solicitors' Journal  
In the Court of Exchequer Chamber there is no rule re- quiring a ree or even large attendance of the judges. 2¢ numerical superiority necessary for giving weight to the affirmance or oad of a Aer chery  ...  Se ries, three law lords decided contrary to the weight of the expressed opinions of the judges represented y a majority of nine to four.  ... 

Square Root Voting System, Optimal Threshold and $$ \uppi $$ π [chapter]

Karol Życzkowski, Wojciech Słomczyński
2013 Power, Voting, and Voting Power: 30 Years After  
It is known that the voting power of every member state is approximately equal to its voting weight, if the threshold q for the qualified majority in the voting body is optimally chosen.  ...  The problem of designing an optimal weighted voting system for the two-tier voting, applicable in the case of the Council of Ministers of the European Union (EU), is investigated.  ...  Moreover, for a fixed number of players, the system does not depend on the particular distribution of weights.  ... 
doi:10.1007/978-3-642-35929-3_30 fatcat:tafd47dgmfaufi52kaoojep7di

The mother-in-law effect

J. Hunt, R. Brooks
2004 Proceedings of the Royal Society of London. Biological Sciences  
In the majority of cases, manipulation involves direct interactions between individuals.  ...  The mother-in-law effect that we document here is, however, the ability to produce large sons from relatively lighter brood masses.  ...  Acknowledgements We thank Leigh Simmons, Michael Jennions, Janne Kotiaho, Allen Moore and two anonymous referees for useful comments and discussions relating to the manuscript.  ... 
doi:10.1098/rsbl.2003.0099 pmid:15101420 pmcid:PMC1809983 fatcat:k445lmbr3vej5gxi2tpm7uiv5i

Dynamical Coarse Graining of Large Scale-Free Boolean networks [article]

Wen-Xu Wang, Gang Yan, Jie Ren, Bing-Hong Wang
2006 arXiv   pre-print
The number of state nodes as a function of biased parameter for distinct coarse-graining level also demonstrates that the power-law behaviors are not the artifact of coarse-graining procedure.  ...  We present a renormalization-grouplike method performed in the state space for detecting the dynamical behaviors of large scale-free Boolean networks, especially for the chaotic regime as well as the edge  ...  for large networks, remains unclear.  ... 
arXiv:cond-mat/0603167v1 fatcat:pnhepbnmgnbxbktexwy57texjy

Why not proportional?

Jean-François Laslier
2012 Mathematical Social Sciences  
This paper reviews the arguments that justify the principles of proportional and degressively proportional representation.  ...  An even simpler example is a two-voter society using weighted majority rule with unequal weights for the two voters. Then the smaller voter has no power at all.  ...  Felsenthal and Machover (1998) propose another equalisandum besides voting power: the expected value of the majority de…cit, where the majority de…cit after a decision is 0 for all countries where a majority  ... 
doi:10.1016/j.mathsocsci.2011.10.012 fatcat:7rkhuzieqbdhhoekiex4wqlwpi

oddball: Spotting Anomalies in Weighted Graphs [chapter]

Leman Akoglu, Mary McGlohon, Christos Faloutsos
2010 Lecture Notes in Computer Science  
Given a large, weighted graph, how can we find anomalies? Which rules should be violated, before we label a node as an anomaly? We propose the OddBall algorithm, to find such nodes.  ...  The contributions are the following: (a) we discover several new rules (power laws) in density, weights, ranks and eigenvalues that seem to govern the socalled "neighborhood sub-graphs" and we show how  ...  This work is also partially supported by an IBM Faculty Award, a SPRINT gift, with additional funding from Intel, and Hewlett-Packard.  ... 
doi:10.1007/978-3-642-13672-6_40 fatcat:xym6jah6lvbhxmvjbfkpjk2674

Adding the dimension of knowledge trading to source impact assessment: Approaches, indicators, and implications

Erjia Yan, Yongjun Zhu
2017 Journal of the Association for Information Science and Technology  
To fill the gap, this study employs a set of tradingbased indicators, including weighted degree centrality, Shannon entropy, and weighted betweenness centrality, to assess sources' trading impact.  ...  While there were efforts in evaluating different aspects of journal impact, the dimension of knowledge trading was largely absent.  ...  Both parts, however, maintain a power law pattern in that most sources, in their respective part, have a relatively small betweenness and a limited number of sources have a relatively large betweenness  ... 
doi:10.1002/asi.23670 fatcat:3docxp5kvzg3jd5jjfbdkg5muq

Page 2586 of Mathematical Reviews Vol. , Issue 86f [page]

1986 Mathematical Reviews  
Write d(A) for (S7¢° ¢;(A)?)*/?, Fy for the law of Z(A)/d(A), Q(A) for (supe;(A))/d(A), and ® for the standard normal law.  ...  The central-limit results of this paper complement the laws of large numbers and “law of the single logarithm” results of the reviewer and Maejima |see the preceding review].  ... 

A Network of Genes, Genetic Disorders, and Brain Areas

Satoru Hayasaka, Christina E. Hugenschmidt, Paul J. Laurienti, Raja Jothi
2011 PLoS ONE  
Furthermore, a small number of brain areas were found to be associated with a large number of the same genes and diseases.  ...  In the resulting network, a disproportionately large number of gene-disease and disease-brain associations were attributed to a small subset of genes, diseases, and brain areas.  ...  Ashley Morgan for assisting in the PubBrain database search. Author Contributions Conceived and designed the experiments: SH PJL. Analyzed the data: SH PJL.  ... 
doi:10.1371/journal.pone.0020907 pmid:21695164 pmcid:PMC3112220 fatcat:awovf2zwsvfklnl7wuw3t5g25a

Analysis of the airport network of India as a complex weighted network

Ganesh Bagler
2008 Physica A: Statistical Mechanics and its Applications  
We find that ANI, a network of domestic airports connected by air links, is a small-world network characterized by a truncated power-law degree distribution, and has a signature of hierarchy.  ...  We investigate ANI as a weighted network to explore its various properties and compare them with their topological counterparts.  ...  Author thanks Council of Scientific and Industrial Research (CSIR), Govt. of India, for the Senior Research Fellowship.  ... 
doi:10.1016/j.physa.2008.01.077 fatcat:4f222uzzbjbphak7isphtcyrf4

Page 97 of Science Education Vol. 15, Issue 2 [page]

1930 Science Education  
There were a large number of topics classified as “Miscellaneous,” appearing regularly on the examinations and usually forming a large portion of the choice questions.  ...  These were in turn divided among: (a) Given a weight to find a weight. (b) Given a weight to find a volume. (c) Given a volume to find a weight. (d) Given a volume to find a volume.  ... 

Species in peril: assessing the status of the trade in pangolins in Nepal

Prayash Ghimire, Nirjala Raut, Prajna Khanal, Suman Acharya, Suraj Upadhaya
2020 Journal of Threatened Taxa  
deployment of the Nepal army in the Makalu Barun National Park, which had long served as a major route to China.  ...  Seizure data (2009–2017) were gathered from law enforcement agencies to predict major trade routes. The major threat perceived was hunting especially by unemployed local youth and children.  ...  A glm was also used to test for a change in the weight and number of incidents of large-quantity shipments of scales.  ... 
doi:10.11609/jott.5698.12.8.15776-15783 fatcat:2bn5xnugbfhspj4agcgryduptq
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