Fibonacci representations of homogeneous weighted majority games

Vito Fragnelli; Gianfranco Gambarelli; Nicola Gnocchi; Flavio Pressacco; Laura Ziani

doi:10.1007/978-3-662-52886-0_11

Fibonacci representations of homogeneous weighted majority games

Vito Fragnelli, Gianfranco Gambarelli, Nicola Gnocchi, Flavio Pressacco, Laura Ziani

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Isbell (1956) introduced a class of homogeneous weighted majority games based on the Fibonacci sequence. In our paper, we generalize this approach to other homogeneous representations of weighted majority games in a suitable Fibonacci framework. We provide some properties of such representations.

Original language	English
Title of host publication	Transactions on Computational Collective Intelligence XXIII
Editors	Ryszard Kowalczyk, Jacek Mercik, Ngoc Thanh Nguyen
Publisher	Springer Verlag
Pages	162-171
Number of pages	10
ISBN (Print)	9783662528853
DOIs	https://doi.org/10.1007/978-3-662-52886-0_11
Publication status	Published - 2016
Externally published	Yes
Event	23rd International Confererence on Computational Collective Intelligence, Autumn 2015 - Wroclaw, Poland Duration: 20 Nov 2015 → 21 Nov 2015

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	9760
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	23rd International Confererence on Computational Collective Intelligence, Autumn 2015
Country/Territory	Poland
City	Wroclaw
Period	20/11/15 → 21/11/15

Keywords

Fibonacci numbers
Homogeneous representations
Homogeneous weighted majority games

Access to Document

10.1007/978-3-662-52886-0_11

Cite this

Fragnelli, V., Gambarelli, G., Gnocchi, N., Pressacco, F., & Ziani, L. (2016). Fibonacci representations of homogeneous weighted majority games. In R. Kowalczyk, J. Mercik, & N. T. Nguyen (Eds.), Transactions on Computational Collective Intelligence XXIII (pp. 162-171). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9760). Springer Verlag. https://doi.org/10.1007/978-3-662-52886-0_11

Fragnelli, Vito ; Gambarelli, Gianfranco ; Gnocchi, Nicola et al. / Fibonacci representations of homogeneous weighted majority games. Transactions on Computational Collective Intelligence XXIII. editor / Ryszard Kowalczyk ; Jacek Mercik ; Ngoc Thanh Nguyen. Springer Verlag, 2016. pp. 162-171 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "Isbell (1956) introduced a class of homogeneous weighted majority games based on the Fibonacci sequence. In our paper, we generalize this approach to other homogeneous representations of weighted majority games in a suitable Fibonacci framework. We provide some properties of such representations.",

keywords = "Fibonacci numbers, Homogeneous representations, Homogeneous weighted majority games",

author = "Vito Fragnelli and Gianfranco Gambarelli and Nicola Gnocchi and Flavio Pressacco and Laura Ziani",

note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 2016.; 23rd International Confererence on Computational Collective Intelligence, Autumn 2015 ; Conference date: 20-11-2015 Through 21-11-2015",

year = "2016",

doi = "10.1007/978-3-662-52886-0_11",

language = "English",

isbn = "9783662528853",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

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booktitle = "Transactions on Computational Collective Intelligence XXIII",

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Fragnelli, V, Gambarelli, G, Gnocchi, N, Pressacco, F & Ziani, L 2016, Fibonacci representations of homogeneous weighted majority games. in R Kowalczyk, J Mercik & NT Nguyen (eds), Transactions on Computational Collective Intelligence XXIII. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9760, Springer Verlag, pp. 162-171, 23rd International Confererence on Computational Collective Intelligence, Autumn 2015, Wroclaw, Poland, 20/11/15. https://doi.org/10.1007/978-3-662-52886-0_11

Fibonacci representations of homogeneous weighted majority games. / Fragnelli, Vito; Gambarelli, Gianfranco; Gnocchi, Nicola et al.
Transactions on Computational Collective Intelligence XXIII. ed. / Ryszard Kowalczyk; Jacek Mercik; Ngoc Thanh Nguyen. Springer Verlag, 2016. p. 162-171 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9760).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Fragnelli, Vito

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AU - Gnocchi, Nicola

AU - Pressacco, Flavio

AU - Ziani, Laura

N1 - Publisher Copyright: © Springer-Verlag Berlin Heidelberg 2016.

PY - 2016

Y1 - 2016

N2 - Isbell (1956) introduced a class of homogeneous weighted majority games based on the Fibonacci sequence. In our paper, we generalize this approach to other homogeneous representations of weighted majority games in a suitable Fibonacci framework. We provide some properties of such representations.

AB - Isbell (1956) introduced a class of homogeneous weighted majority games based on the Fibonacci sequence. In our paper, we generalize this approach to other homogeneous representations of weighted majority games in a suitable Fibonacci framework. We provide some properties of such representations.

KW - Fibonacci numbers

KW - Homogeneous representations

KW - Homogeneous weighted majority games

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DO - 10.1007/978-3-662-52886-0_11

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SN - 9783662528853

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

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BT - Transactions on Computational Collective Intelligence XXIII

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Fragnelli V, Gambarelli G, Gnocchi N, Pressacco F, Ziani L. Fibonacci representations of homogeneous weighted majority games. In Kowalczyk R, Mercik J, Nguyen NT, editors, Transactions on Computational Collective Intelligence XXIII. Springer Verlag. 2016. p. 162-171. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-662-52886-0_11

Fibonacci representations of homogeneous weighted majority games

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