Banzhaf-Coleman-Dubey-Shapley sensitivity index for simple multichoice voting games

被引：0

作者：

Engoulou, Bertrand Mbama ^{[1
]}

Wambo, Pierre ^{[2
]}

Lambo, Lawrence Diffo ^{[3
]}

机构：

[1] Univ Douala, Fac Sci, Dept Math & Comp Sci, Douala, Cameroon

[2] Ecole Normale Super, Dept Math, Maroua, Cameroon

[3] Ecole Normale Super, Dept Math, Yaounde, Cameroon

来源：

ANNALS OF OPERATIONS RESEARCH | 2023年 / 328卷 / 02期

关键词：

Game theory; Sensitivity index; (j; k)-Simple games; Several levels of approval; Banzhaf power index;

D O I：

10.1007/s10479-023-05411-5

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we extend the Banzhaf-Coleman-Dubey-Shapley sensitivity index to the class of dichotomous voting games with several levels of approval in input, also known as (j, 2)-simple games. For previous works, on classical simple games ((2, 2)-simple games), a sensitivity index reflects the volatility or degree of suspense in the voting body. Using a set of independent axioms, we provide an axiomatic characterization of that extension on the class of (j, 2)-simple games.

引用

页码：1349 / 1364

页数：16

共 16 条

[1] Banzhaf–Coleman–Dubey–Shapley sensitivity index for simple multichoice voting games
Bertrand Mbama Engoulou
Pierre Wambo
Lawrence Diffo Lambo
Annals of Operations Research, 2023, 328 : 1349 - 1364
[2] A characterization and some properties of the Banzhaf-Coleman-Dubey-Shapley sensitivity index
Barua, R
Chakravarty, SR
Roy, S
Sarkar, P
GAMES AND ECONOMIC BEHAVIOR, 2004, 49 (01) : 31 - 48
[3] The Banzhaf Value for Cooperative and Simple Multichoice Games
Josep Freixas
Group Decision and Negotiation, 2020, 29 : 61 - 74
[4] The Banzhaf Value for Cooperative and Simple Multichoice Games
Freixas, Josep
GROUP DECISION AND NEGOTIATION, 2020, 29 (01) : 61 - 74
[5] An Axiomatisation of the Banzhaf Value and Interaction Index for Multichoice Games
Ridaoui, Mustapha
Grabisch, Michel
Labreuche, Christophe
MODELING DECISIONS FOR ARTIFICIAL INTELLIGENCE (MDAI 2018), 2018, 11144 : 143 - 155
[6] A heuristic approximation method for the Banzhaf index for voting games
Fatima, Shaheen
Wooldridge, Michael
Jennings, Nicholas
MULTIAGENT AND GRID SYSTEMS, 2012, 8 (03) : 257 - 274
[7] On the ordinal equivalence of the Jonhston, Banzhaf and Shapley–Shubik power indices for voting games with abstention
Joseph Armel Momo Kenfack
Bertrand Tchantcho
Bill Proces Tsague
International Journal of Game Theory, 2019, 48 : 647 - 671
[8] On the ordinal equivalence of the Jonhston, Banzhaf and Shapley-Shubik power indices for voting games with abstention
Kenfack, Joseph Armel Momo
Tchantcho, Bertrand
Tsague, Bill Proces
INTERNATIONAL JOURNAL OF GAME THEORY, 2019, 48 (02) : 647 - 671
[9] Complexity of Merging and Splitting for the Probabilistic Banzhaf Power Index in Weighted Voting Games
Rey, Anja
Rothe, Joerg
ECAI 2010 - 19TH EUROPEAN CONFERENCE ON ARTIFICIAL INTELLIGENCE, 2010, 215 : 1021 - 1022
[10] The Shapley–Shubik index for simple games with multiple alternatives
Francesc Carreras
Antonio Magaña
Annals of Operations Research, 2008, 158 : 81 - 97

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