Multiobjective Games for Detecting Abnormally Expressed Genes

Fragnelli, Vito; Pusillo, Lucia

doi:10.3390/math8030350

Cited by 5 publications

(5 citation statements)

References 20 publications

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“…Another model studying the cancer cells was introduced in [21] and generalized to multicriteria games (that is games with vector payoffs) in [22].…”

Section: Evolution Of Tumor Cellsmentioning

confidence: 99%

“…The authors in [22] study the vector Shapley value for microarray multiobjective games basing on the idea of "partnership of genes" (as in [21]). Intuitively this is a genes' group with correlated characterizations and which is very useful to study if the disease is developing.…”

Section: Evolution Of Tumor Cellsmentioning

confidence: 99%

“…Gene So the physician problem studied through microarrays analysis may be translated into a cooperative game and studied with the usual tools of the theory (for more and not easy details see [22]). Here the authors consider the vector Shapley value and the Banzhaf one as the genes relevance indices or disease markers but a research is in progress about other solutions perhaps more suitable and a comparison among the results.…”

Section: Sample a Sample B Sample C Sample Dmentioning

confidence: 99%

See 2 more Smart Citations

Perspective about Medicine Problems via Mathematical Game Theory: An Overview

Bruzzone¹,

Pusillo²

2021

Systems-of-Systems Perspectives and Applications - Design, Modeling, Simulation and Analysis (MS&A), Gaming and Decision Su

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This chapter provides an overview of Game Theory with applications to medicine problems, including evolution of tumor cells and their competition, applications to neocortical epilepsy surgery and schizophrenic brain. Recent studies related to microarray games for cancer problems will be considered. These models may be used for applications to neurological and allergic diseases. At the end, the model of kidney exchange via the Matching Theory proposed by Alvin Roth, Nobel prize 2012, will be discussed.

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“…Another model studying the cancer cells was introduced in [21] and generalized to multicriteria games (that is games with vector payoffs) in [22].…”

Section: Evolution Of Tumor Cellsmentioning

confidence: 99%

Section: Evolution Of Tumor Cellsmentioning

confidence: 99%

Section: Sample a Sample B Sample C Sample Dmentioning

confidence: 99%

See 1 more Smart Citation

Perspective about Medicine Problems via Mathematical Game Theory: An Overview

Bruzzone¹,

Pusillo²

2021

Systems-of-Systems Perspectives and Applications - Design, Modeling, Simulation and Analysis (MS&A), Gaming and Decision Su

Self Cite

View full text Add to dashboard Cite

show abstract

“…The Banzhaf value 9 for cooperative games can be used as a solution concept and to evaluate the cooperation existing among players. To name a few, the application of the Banzhaf value to communication situations has been given by Alonso-Meijide and Fiestras-Janeiro 10 , Gallego et al 11 to Compute the power of the political groups in the European Parliament, and Fragnelli and Pusillo 12 applied the Banzhaf value for detecting abnormally expressed genes.…”

Section: Introductionmentioning

confidence: 99%

An Application of the Banzhaf Values for Cooperating Among Producers of Waste Processing in the Al-Mahmudiya Factory

Hadi

Abbas

2023

Baghdad Sci.J

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The game theory has been applied to all situations where agents’ (people or companies) actions are utility-maximizing, and the collaborative offshoot of game theory has proven to be a robust tool for creating effective collaboration strategies in a broad range of applications. In this paper first, we employ the Banzhaf values to show the potential cost to waste producers in the case of a cooperation and to reduce the overall costs of processing non-recyclable waste during cooperation between producers. Secondly, we propose an application of the methodology to study a case for five waste producers' waste management in the Al-Mahmudiya factory with the aim of displaying the potential cost to waste producers in case of cooperation. Lastly, the obtained results of the proposed framework will strongly help professionals to formulate and improve well-organized strategies for the waste management system of the future.

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“…As we all know, in many fields such as optimal control, engineering design, economy, and arms race, deciders usually have not merely considered one objective [1][2][3][4][5][6] but integrated many objectives in decision-making. So multiobjective decisions are more consistent with reality than a single-objective decision.…”

Section: Introductionmentioning

confidence: 99%

Solving Multiobjective Game in Multiconflict Situation Based on Adaptive Differential Evolution Algorithm with Simulated Annealing

Xiang

Jia

et al. 2021

Mathematical Problems in Engineering

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In this paper, we study the multiobjective game in a multiconflict situation. First, the feasible strategy set and synthetic strategy space are constructed in the multiconflict situation. Meanwhile, the value of payoff function under multiobjective is determined, and an integrated multiobjective game model is established in a multiconflict situation. Second, the multiobjective game model is transformed into the single-objective game model by the Entropy Weight Method. Then, in order to solve this multiobjective game, an adaptive differential evolution algorithm based on simulated annealing (ADESA) is proposed to solve this game, which is to improve the mutation factor and crossover operator of the differential evolution (DE) algorithm adaptively, and the Metropolis rule with probability mutation ability of the simulated annealing (SA) algorithm is used. Finally, the practicability and effectiveness of the algorithm are illustrated by a military example.

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Multiobjective Games for Detecting Abnormally Expressed Genes

Abstract: A class of multiobjective games with applications to a medicine setting is studied. We consider the vector Shapley value and the vector Banzhaf value for a multicriteria game and we apply them to a microarray game. We give an axiomatic characterization too.

Cited by 5 publications

References 20 publications

Perspective about Medicine Problems via Mathematical Game Theory: An Overview

Perspective about Medicine Problems via Mathematical Game Theory: An Overview

An Application of the Banzhaf Values for Cooperating Among Producers of Waste Processing in the Al-Mahmudiya Factory

Solving Multiobjective Game in Multiconflict Situation Based on Adaptive Differential Evolution Algorithm with Simulated Annealing

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