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Measuring the Power of Nodes in Digraphs

Herings, P. Jean-Jacques; van der Laan, Gerard; Talman, Dolf - 2001

Many economic and social situations can be represented by a digraph. Both axiomatic and iterativemethods to determine the strength or power of all the nodes in a digraph have been proposed inthe literature. We propose a new method, where the power of a node is determined by both thenumber of its...

Persistent link: https://www.econbiz.de/10010325076

On the stability of cooperation structures

Haeringer, Guillaume - 2002

This paper studies the payoff structure of stable cooperation structures in link formation games. Players choose non-cooperatively with whom they want to form a link, and the payoffs are given by the Myerson value of the cooperation structure obtained. We characterize the class of TU-games that...

Persistent link: https://www.econbiz.de/10011335692

Generalization of Binomial Coefficients to Numbers on the Nodes of Graphs

Khmelnitskaya, Anna; van der Laan, Gerard; Talman, Dolf - 2016

of Pascal's triangle can be seen as a line-graph, to each node of which the corresponding binomial coefficient is … assigned. We show that the binomial coefficient of a node is equal to the number of ways the line-graph can be constructed when … sequences of binomial coefficients on each row of Pascal's triangle to so-called Pascal graph numbers assigned to the nodes of …

Persistent link: https://www.econbiz.de/10011451527

Fixed-effect regressions on network data

Jochmans, Koen; Weidner, Martin - 2017

This paper studies inference on fixed effects in a linear regression model estimated from network data. An important special case of our setup is the two-way regression model, which is a workhorse method in the analysis of matched data sets. Networks are typically quite sparse and it is...

Persistent link: https://www.econbiz.de/10011941467

Fixed-effect regressions on network data

Jochmans, Koen; Weidner, Martin - 2018

This paper considers inference on fixed effects in a linear regression model estimated from network data. An important special case of our setup is the two-way regression model. This is a workhorse technique in the analysis of matched data sets, such as employer-employee or student-teacher panel...

Persistent link: https://www.econbiz.de/10011941504

Fixed-effect regressions on network data

Jochmans, Koen; Weidner, Martin - 2019

Persistent link: https://www.econbiz.de/10012146368

Axioms for Centrality Scoring with Principal Eigenvectors

Kitti, Mitri - 2012

represented by a directed graph and the question of ranking or scoring the alternatives can be turned into the question of … assessing the centrality of nodes of the graph. This paper characterizes the principal eigenvector as a scoring function with a …

Persistent link: https://www.econbiz.de/10012503033

Fixed-effect regressions on network data

Jochmans, Koen; Weidner, Martin - 2016

This paper studies inference on fixed effects in a linear regression model estimated from network data. We derive bounds on the variance of the fixed-effect estimator that uncover the importance of the smallest non-zero eigenvalue of the (normalized) Laplacian of the network and of the degree...

Persistent link: https://www.econbiz.de/10011594342

Collecting and organizing Stata graphs

Wolfe, Joseph D.; Bauldry, Shawn - In: Stata Journal 14 (2014) 4, pp. 965-974

Stata includes a powerful set of tools for constructing a wide array of graphs. Stata's graphing capabilities are well suited for describing exploratory or preliminary data analyses as well as producing publication-quality graphics. Currently, however, Stata does not have a built-in suite of...

Persistent link: https://www.econbiz.de/10011105653

Measuring the Power of Nodes in Digraphs

Herings, P. Jean-Jacques; Laan, Gerard van der; Talman, Dolf - Tinbergen Instituut - 2001

This discussion paper led to a publication in 'Social Choice and Welfare', 2005, 24, 439-454.<P> Many economic and social situations can be represented by a digraph. Both axiomatic and iterativemethods to determine the strength or power of all the nodes in a digraph have been proposed inthe...</p>

Persistent link: https://www.econbiz.de/10011256523