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In this paper, a novel approach for the optimal combination of binary classifiers is proposed. The classifier combination problem is approached from a Game Theory perspective. The proposed framework of adapted weighted majority rules (WMR)…

Machine Learning · Computer Science 2013-02-05 Harris V. Georgiou , Michael E. Mavroforakis

Since the Fourth Industrial Revolution, AI technology has been widely used in many fields, but there are several limitations that need to be overcome, including overfitting/underfitting, class imbalance, and the limitations of…

Machine Learning · Computer Science 2025-08-18 DongSeong-Yoon

We introduce a new simple game, which is referred to as the complementary weighted multiple majority game (C-WMMG for short). C-WMMG models a basic cooperation rule, the complementary cooperation rule, and can be taken as a sister model of…

Computer Science and Game Theory · Computer Science 2013-01-04 Zhigang Cao , Xiaoguang Yang

We study the problem of coalitional manipulation---where $k$ manipulators try to manipulate an election on $m$ candidates---under general scoring rules, with a focus on the Borda protocol. We do so both in the weighted and unweighted…

Data Structures and Algorithms · Computer Science 2017-08-17 Orgad Keller , Avinatan Hassidim , Noam Hazon

We analyse optimal voting weights in two-tier voting systems. In our model, the overall population (or union) is split in groups (or member states) of different sizes. The individuals comprising the overall population constitute the first…

Probability · Mathematics 2022-09-28 Werner Kirsch , Gabor Toth

The number of component classifiers chosen for an ensemble greatly impacts the prediction ability. In this paper, we use a geometric framework for a priori determining the ensemble size, which is applicable to most of existing batch and…

Machine Learning · Computer Science 2018-10-02 Hamed Bonab , Fazli Can

We revisit the coalition structure generation problem in which the goal is to partition the players into exhaustive and disjoint coalitions so as to maximize the social welfare. One of our key results is a general polynomial-time algorithm…

Computer Science and Game Theory · Computer Science 2011-06-21 Haris Aziz , Bart de Keijzer

There is a striking relationship between a three hundred years old Political Science theorem named "Condorcet's jury theorem" (1785), which states that majorities are more likely to choose correctly when individual votes are often correct…

Machine Learning · Computer Science 2020-02-17 Hanan Shteingart , Eran Marom , Igor Itkin , Gil Shabat , Michael Kolomenkin , Moshe Salhov , Liran Katzir

Multiwinner voting rules are used to select a small representative subset of candidates or items from a larger set given the preferences of voters. However, if candidates have sensitive attributes such as gender or ethnicity (when selecting…

Computers and Society · Computer Science 2018-06-20 L. Elisa Celis , Lingxiao Huang , Nisheeth K. Vishnoi

Coalitional voting games appear in different forms in multi-agent systems, social choice and threshold logic. In this paper, the complexity of comparison of influence between players in coalitional voting games is characterized. The…

Computer Science and Game Theory · Computer Science 2008-09-04 Haris Aziz

The most important challenge in Wireless Sensor Networks (WSNs) is the energy constraint. Numerous solutions have been proposed to alleviate the issue, including clustering. Game theory is an effective decision-making tool that has been…

Networking and Internet Architecture · Computer Science 2021-04-19 M. Mehdi Afsar , Trafford Crump , Behrouz Far

The Wisdom of Crowds (WOC), as a theory in the social science, gets a new paradigm in computer science. The WOC theory explains that the aggregate decision made by a group is often better than those of its individual members if specific…

Machine Learning · Statistics 2016-12-21 Muhammad Yousefnezhad , Sheng-Jun Huang , Daoqiang Zhang

Many binary collective choice situations can be described as weighted simple voting games. We introduce weighted committee games to model decisions on an arbitrary number of alternatives in analogous fashion. We compare the effect of…

Combinatorics · Mathematics 2019-11-01 Sascha Kurz , Alexander Mayer , Stefan Napel

Researchers are increasingly focusing on intelligent games as a hot research area.The article proposes an algorithm that combines the multi-attribute management and reinforcement learning methods, and that combined their effect on…

Artificial Intelligence · Computer Science 2021-09-07 Yuxiang Sun , Bo Yuan , Yufan Xue , Jiawei Zhou , Xiaoyu Zhang , Xianzhong Zhou

In this paper, we introduce a notion of mergeable weighted majority games with the aim of providing the first characterization of the Colomer-Mart\'inez power index (Colomer and Mart\'inez in J Theor Polit 7(1):41-63, 1995). Furthermore, we…

Computer Science and Game Theory · Computer Science 2024-02-12 Livino M. Armijos-Toro , José M. Alonso-Meijide , Manuel A. Mosquera

Federated learning is a setting where agents, each with access to their own data source, combine models from local data to create a global model. If agents are drawing their data from different distributions, though, federated learning…

Computer Science and Game Theory · Computer Science 2020-12-18 Kate Donahue , Jon Kleinberg

Important decisions are likely made by groups of agents. Thus group decision making is very common in practice. Very transparent group aggregating rules are given by weighted voting, where each agent is assigned a weight. Here a proposal is…

Combinatorics · Mathematics 2014-01-08 Sascha Kurz , Nikolas Tautenhahn

Background: It has repeatedly been reported that when making decisions under uncertainty, groups outperform individuals. In a lab setting, real groups are often replaced by simulated groups: Instead of performing an actual group discussion,…

Applications · Statistics 2021-06-08 Sascha Meyen , Dorothee M. B. Sigg , Ulrike von Luxburg , Volker H. Franz

Majority voting (MV) is the prototypical ``wisdom of the crowd'' algorithm. Theorems considering when MV is optimal for group decisions date back to Condorcet's 1785 jury \emph{decision} theorem. The same error independence assumption…

Artificial Intelligence · Computer Science 2025-03-13 Andrés Corrada-Emmanuel

The Condorcet Jury Theorem or the Miracle of Aggregation are frequently invoked to ensure the competence of some aggregate decision-making processes. In this article we explore an estimation of the prior probability of the thesis predicted…

Theoretical Economics · Economics 2022-06-22 Álvaro Romaniega
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