Efficient algorithm for designing weighted voting games
Aziz, Haris, Paterson, Michael S. and Leech, Dennis (2007) Efficient algorithm for designing weighted voting games. In: 11th IEEE International Multitopic Conference, Lahore, Pakistan, 28-30 Dec 2007. Published in: IEEE International Multitopic Conference, 2007. INMIC 2007. pp. 211-216.Full text not available from this repository.
Official URL: http://dx.doi.org/10.1109/INMIC.2007.4557718
Weighted voting games are mathematical models used to analyse situations where voters with variable voting weight vote in favour of or against a decision. They have been applied in various political and economic organizations. Similar combinatorial models are also encountered in neuroscience, threshold logic, reliability theory and distributed systems.
The calculation of voting powers of players in a weighted voting game has been extensively researched in the last few years. However, the inverse problem of designing a weighted voting game with a desirable distribution of power has received less attention. We present an elegant algorithm which uses generating functions and interpolation to compute an integer weight vector for target Banzhaf power indices. This algorithm has better performance than any other known to us. It can also be used to design egalitarian two-tier weighted voting games and a representative weighted voting game for a multiple weighted voting game.
|Item Type:||Conference Item (Paper)|
|Subjects:||Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
T Technology > TK Electrical engineering. Electronics Nuclear engineering
|Divisions:||Faculty of Science > Computer Science|
|Journal or Publication Title:||IEEE International Multitopic Conference, 2007. INMIC 2007.|
|Number of Pages:||6|
|Page Range:||pp. 211-216|
|Access rights to Published version:||Restricted or Subscription Access|
|Conference Paper Type:||Paper|
|Title of Event:||11th IEEE International Multitopic Conference|
|Type of Event:||Conference|
|Location of Event:||Lahore, Pakistan|
|Date(s) of Event:||28-30 Dec 2007|
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