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We investigate the scope for cooperation within a community engaged in repeated reciprocal interactions. Players seek the help of others and approach them sequentially according to some fixed order, that is, a ranking profile. We study the ranking profiles that are most effective in sustaining cooperation in equilibrium, that is, profiles that support ...
Yossi Feinberg, Willemien Kets
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When does rank( ABC ) = rank( AB ) + rank( BC ) - rank( B ) hold?
International Journal of Mathematical Education in Science and Technology, 2002The well-known Frobenius rank inequality established by Frobenius in 1911 states that the rank of the product ABC of three matrices satisfies the inequality rank(ABC) U rank(AB) + rank(BC)- rank(B) A new necessary and sufficient condition for equality to hold is presented and then some interesting consequences and applications are discussed.
Yongge Tian, George P. H. Styan
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Rankings and Ranking Functions
Canadian Journal of Mathematics, 1981Suppose that n competitors compete in r races and in each race they are awarded placings l, 2, 3, …, n – 1, n. After the r races each competitor has a result consisting of his r placings. Let such a result be written (αj)1≦j≦r where for convenience the positive integers αj are arranged in ascending order.
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Background: Research rankings based on bibliometrics today dominate governance in academia and determine careers in universities. Method: Analytical approach to capture the incentives by users of rankings and by suppliers of rankings, both on an individual and an aggregate level. Result: Rankings may produce unintended negative side effects.
Bruno S. Frey, Margit Osterloh
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P-Rank 2020 – A Publication Ranking (Table of Rankings)
SSRN Electronic Journal, 2020This document presents various rankings of publication output of scholars in the field of business studies. The rankings are based on the ABDC Journal Quality List, the CABS Academic Journal Guide, the ERIM Journal List, the list of the Handelsblatt BWL Ranking, the Hceres liste des revues, Scimago Journal Ranks, and the VHB Jourqual 3 list.
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SIAM Journal on Discrete Mathematics, 1995
A vertex (edge) coloring $\phi:V\rightarrow \{1,2,\ldots ,t\}$ ($\phi':E\rightarrow \{1,2,\ldots,$ $t\}$) of a graph G=(V,E) is a vertex (edge) t-ranking if, for any two vertices (edges) of the same color, every path between them contains a vertex (edge) of larger color. The {\em vertex ranking number} $\chi_{r}(G)$ ({\em edge ranking number} $\chi_{r}'
Dieter Kratsch+6 more
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A vertex (edge) coloring $\phi:V\rightarrow \{1,2,\ldots ,t\}$ ($\phi':E\rightarrow \{1,2,\ldots,$ $t\}$) of a graph G=(V,E) is a vertex (edge) t-ranking if, for any two vertices (edges) of the same color, every path between them contains a vertex (edge) of larger color. The {\em vertex ranking number} $\chi_{r}(G)$ ({\em edge ranking number} $\chi_{r}'
Dieter Kratsch+6 more
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Ranking the role of RANK ligand in apoptosis
Apoptosis, 2004Many members of tumor necrosis factor (TNF) superfamily are characterized by their ability to induce apoptosis once they bind in a homotrimeric manner to their cognate receptors. The receptor activator of nuclear factor-kappaB ligand (RANKL), a member of the TNF superfamily identified seven years ago, was originally described as a factor that induced ...
Bharat B. Aggarwal, Alok C. Bharti
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Ranking and adaptive ranking CDMA
IEEE/ACM Transactions on Networking, 2005This paper develops an uplink transmission scheduling scheme, referred to as Ranking CDMA, which selects a subset of users for transmission at each time slot. We introduce long- and short-term metrics that characterize its performance, and devise analytical methods for evaluating these performance measures.
Semyon M. Meerkov+2 more
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Performance Indices: Ranking the Rankings
2014Performance indices, which rank social issues or policy outcomes in different countries by combining related measures into a single score for each, are enjoying a boom. Their number has soared over the past two decades. They are popular, influential—and sometimes flawed.
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