scholarly journals Mathematical Game Theory

10.1142/12540 ◽  
2022 ◽  
Author(s):  
Ulrich Faigle
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.


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.


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.


2021 ◽  
Vol 6 (1) ◽  
Author(s):  
William Press

This is the story of a minor discovery in mathematical game theory. It concerns the prisoner’s dilemma game, which, played once, involves little strategy. But consider the iterated prisoner’s dilemma (IPD) game. In the IPD, there is information in the previous plays, which each player can use to devise a superior strategy that remains self-interested.


لارك ◽  
2019 ◽  
Vol 3 (32) ◽  
pp. 28-49
Author(s):  
فالح صدام الامارة

Abstract The effect of new technologies has reached translation as any other field of knowledge and renovated the practice, research and theory in translation. This simply suggests the need to revisit translation theories and adopt theories from other disciplines where relevant. The current paper is an attempt to inter-subjectively adopt the mathematical game theory into translation. In addition, it is not only a call to probe into the understanding of texts by adopting semiotic texts represented in political cartoons but also to go deeper with translators by making them work together in a crowdsourcing context within an online platform governed by the rules of the adopted theory to practice other processes such as revision as a basic phase in translation. Empirically, the results proved that the adopted theory matches, to a good extent, the situation of Crowdsourcing, which gives better results concerning the translation process.


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