Aggregate implications of lumpy investment under heterogeneity and uncertainty: a model of collective behavior

2017 ◽  
Vol 14 (2) ◽  
pp. 311-333
Author(s):  
Yoshiyuki Arata ◽  
Yosuke Kimura ◽  
Hiroki Murakami
Keyword(s):  
Collective Behavior ◽  
Lumpy Investment

Voronoi Analysis of a Soccer Game

2004 ◽  
Vol 9 (3) ◽  
pp. 233-240 ◽  
Author(s):  
S. Kim
Keyword(s):  
Collective Behavior ◽  
Quantitative Assessment ◽  
The Other ◽  
Analysis Method ◽  
Random System ◽  
Soccer Game ◽  
Voronoi Polygons ◽  
The Mean

This paper describes a Voronoi analysis method to analyze a soccer game. It is important for us to know the quantitative assessment of contribution done by a player or a team in the game as an individual or collective behavior. The mean numbers of vertices are reported to be 5–6, which is a little less than those of a perfect random system. Voronoi polygons areas can be used in evaluating the dominance of a team over the other. By introducing an excess Voronoi area, we can draw some fruitful results to appraise a player or a team rather quantitatively.

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