We propose a normative theory of the number of representatives based on a model of a representative democracy. We derive a formula giving the number of representatives as proportional to the square root of total population. Simple tests of the formula on a sample of a 100 countries yield good results. We then discuss the appropriateness of the number of representatives in some countries. It seems that the United States has too few representatives, while France and Italy have too many. The excess number of representatives matters: it is positively correlated with indicators of red tape and barriers to entrepreneurship.
• 244 cases reported (over 100 estimated old ones that should have been reported earlier) in past 24-hour period, 49 new cases reported by noon, and four deaths• Physicians say influenza not as severe this time around• Red Cross busy, more nurses needed, but much functioning well• Dr. Crosby asks citizens to be individually responsible for wearing masks• Berkeley ready to institute its own masking ordinance, now that San Francisco and Oakland are doing likewise ; Newspaper article ; 8
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With corrupt crypto king Sam Bankman-Fried as its most prominent representative, the Effective Altruism movement is not particularly popularly these days. And some other people associated with the Effective Altruism movement have bizarre and unappealing ideas. More generally, the association of the idea with the Silicon Valley technobro culture we've been discussing here has put […]
In: Peeters , R & Tenev , A 2016 ' Number of bidders and the winner's curse ' Maastricht University, Graduate School of Business and Economics . https://doi.org/10.26481/umagsb.2016031
The second-price sealed-bid common-value auction exhibits lower winner's curse probability compared to the rst-price auction for any number of bidders. For both auction types, above a certain threshold adding more bidders increases the chances of the winner's curse only marginally while it decreases potential losses to the bidders and increases revenue. Below this threshold, having fewer bidders lowers the winner's curse probability and the losses to the bidders, but also the average revenue.
WOS: 000336908800001 ; Let G be a simple connected graph of order n, m edges, maximum degree Delta(1) and minimum degree delta. Li et al. (Appl. Math. Lett. 23: 286-290, 2010) gave an upper bound on number of spanning trees of a graph in terms of n, m, Delta(1) and delta: t(G) <= delta (2m-Delta(1)-delta-1/n-3)(n-3). The equality holds if and only if G congruent to K-1,K-n-1, G congruent to K-n, G congruent to K-1 boolean OR (K-1 boolean OR Kn-2) or G congruent to K-n - e, where e is any edge of K-n. Unfortunately, this upper bound is erroneous. In particular, we show that this upper bound is not true for complete graph K-n. In this paper we obtain some upper bounds on the number of spanning trees of graph G in terms of its structural parameters such as the number of vertices (n), the number of edges (m), maximum degree (Delta(1)), second maximum degree (Delta(2)), minimum degree (delta), independence number (alpha), clique number (omega). Moreover, we give the Nordhaus-Gaddum-type result for number of spanning trees. ; Faculty research Fund, Sungkyunkwan University; National Research Foundation - Korean governmentKorean Government [2013R1A1A2009341]; Research Project Office of Selcuk UniversitySelcuk University; Research Project Office of Uludag UniversityUludag University; TUBITAK (The Scientific and Technological Research Council of Turkey)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) ; The authors are grateful to the referees for their valuable comments, which lead to an improvement of the original manuscript. This paper was prepared during the first author's visit in Selcuk and Uludag Universities. Moreover, we are thankful to Mr. SA Mojallal for computing the values in Example 1. The first author is supported by the Faculty research Fund, Sungkyunkwan University, 2012 and the National Research Foundation funded by the Korean government with the grant no. 2013R1A1A2009341. The second and the third authors are both partially supported by the Research Project Offices of Selcuk and Uludag Universities, and TUBITAK (The Scientific and Technological Research Council of Turkey).
From the Popular science monthly, vol. LXXXVI, no. 3, March, 1915. ; Cover title. ; Astronomy on the Pacific Coast, by Prof. R.T. Crawford.--The biological laboratories of the Pacific Coast, by Prof. W.E. Ritter.--The last wild tribe of California, by Prof. T.T. Waterman.--Extinct faunas of the Mohave Desert, by Prof. J.C. Merriam.--Insects of the Pacific, by Prof. V.L. Kellogg.--The physiological aspects of California for the botanist, by Prof. G.J. Peirce.--Social legislation on the Pacific Coast, by Prof. W.F. Ogburn.--The volcanic activity of Lassen Peak, California, by Prof. R.S. Holway. ; Mode of access: Internet.