scholarly journals Perspective about Medicine Problems via Mathematical Game Theory: An Overview

2020 ◽  
Author(s):  
Agostino Bruzzone ◽  
Lucia Pusillo

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.

2010 ◽  
Vol 29 (2) ◽  
pp. 322-338 ◽  
Author(s):  
C. DeLorenzo ◽  
X. Papademetris ◽  
L.H. Staib ◽  
K.P. Vives ◽  
D.D. Spencer ◽  
...  

Author(s):  
David Carfì ◽  
Alessia Donato ◽  
Dania Panuccio

Throughout this study, the authors propose possible agreements among different food producers, in order to develop a new better conceived diet for the future generations, by using a coopetitive approach and game theory. Specifically, the authors shall consider food producers and sellers of vegan (respectively, vegetarian) and non-vegan (or non-vegetarian) food. The coopetitive approach used by the authors provides a mathematical game theory model, which could help producers of vegan food a simpler entry in the market and free significant publicity. Meanwhile, the model could allow producers of non-vegetarian food a smooth transaction to vegetarian and vegan production. In particular, authors propose an agreement setting among McDonald's and Muscle of Wheat, because they think that Muscle of Wheat cannot enter a global market without the help of a large food producer already in the market. The game theory model represents an asymmetric R&D alliance between McDonald's and Muscle of Wheat.


2019 ◽  
Vol 97 ◽  
pp. 03034
Author(s):  
Olga Shikuskaya ◽  
Galina Abuova ◽  
Ivan Vatunskiy ◽  
Mikhail Shikulskiy

In the analysis of the project documentation of a two-storeyed sports complex it was established that despite compliance of the project to all standards in the fire safety field, under certain conditions there is a danger of a delay of full people evacuation from the gym room in case of fire that can entail people’s death. For the purpose of ensuring fire safety several versions of space-planning decisions were considered. The scientific literature analysis showed efficiency of game theory use in the field of fire safety, however in the field of fire safety in construction it was not applied yet. Game theory Application (games with the nature in the conditions of uncertainty) for the revealed problem solution was proved. Three possible scenarios of emergence and development of the fire and four alternative space-planning decisions were considered. For all development scenarios of the fire time of critical values achievement of dangerous fire factors was defined. All necessary evacuation schemes are made and calculations are executed. On the calculated parameters basis the payoff matrix was constructed. An optimal variant of space-planning decisions was chosen. Research results showed expediency and efficiency of game theory application in the field of fire safety in construction.


2010 ◽  
Vol 67 (2) ◽  
pp. 230-238 ◽  
Author(s):  
Kyung-Il Park ◽  
Sang Kun Lee ◽  
Kon Chu ◽  
Keun-Hwa Jung ◽  
Eun-Kee Bae ◽  
...  

Epilepsia ◽  
2011 ◽  
Vol 52 (5) ◽  
pp. 1018-1020 ◽  
Author(s):  
Robert C. Knowlton ◽  
Jitesh Kar ◽  
Suzanne Miller ◽  
Nita Limdi ◽  
Rotem Elgavish ◽  
...  

1997 ◽  
Vol 11 (3) ◽  
pp. 159-174 ◽  
Author(s):  
Faruk Gul

The purpose of this essay is to celebrate the contributions of John C. Harsanyi, John F. Nash, and Reinhard Selten to economics. The emphasis is on tracing the influence of their work on economic analysis rather than giving a detailed account of each of their contributions. The three researchers are identified with the three most important ideas in game theory: equilibrium, asymmetric information, and credibility. These three ideas have dominated not only theoretical research but also numerous other fields within economics since the 1950s.


2019 ◽  
Vol 12 (1) ◽  
pp. 138
Author(s):  
W. A. V. Souza ◽  
M. C. Malavazi

Game Theory is a mathematical approach to the study of decision making between individuals when each outcome depends on the decisions of others, ie, one should not make an arbitrary decision, but decide based on what they think the decision of their "opponent" will be, knowing that they think the same. Developed by John von Neumann and Oskar Morgenstern in 1944 in the book Theory of Games and Economic Behavior, it had been very contested since its launch, but the works of a genius named John Nash, winner of the Nobel Prize in economics in 1994, ended these contestations. This work shows that the Game Theory was not limited to the field of economics, but expanded to other areas, such as biology, explaining strategies used by species to survive. As results are presented more than ten models based on the principles of Game Theory, among them the Prisoner's Dilemma, Ice Cream Vendors Game, Clean City Law and Warning Song between Bird.


Author(s):  
Alexander Kolker

The goal of this chapter is to illustrate two mathematical game theory concepts for allocating costs (savings) between cooperating participants, specifically in healthcare settings. These concepts are the nucleolus and the Shapley value. The focus of this chapter is on the practical application of the Shapley value for the cost sharing within the bundled payments model for the episodes of care mandated recently by the Center for Medicare Services (CMS). The general Shapley value methodology is illustrated, as well as an important particular case in which each participant uses only a portion of the largest participant's asset (the so-called airport game). The intended readers are primarily leaders of organizations and hospitals involved in the implementation of the CMS mandated bundled payment model for the episodes of care.


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