games theory
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Author(s):  
Ben Aziza Sahar ◽  
Toumi Salwa

The Mean Field Games PDEs system is at the heart of the Mean Field Games theory initiated by [J.-M. Lasry and P.-L. Lions, Jeux à champ moyen. I–le cas stationnaire, C. R. Math. 343 (2006) 619–625; J.-M. Lasry and P.-L. Lions, Jeux à champ moyen. II–horizon fini et contrôle optimal, C. R. Math. 343 (2006) 679–684; J.-M. Lasry and P.-L. Lions, Mean field games, Jpn. J. Math. 2 (2007) 229–260] which constitutes a seminal contribution to the modeling and analysis of games with a large number of players. We propose here a numerical method of resolution of such systems based on the construction of a discrete mean field game where the controlled state-variable is a Markov chain approximating the controlled stochastic differential equation [H. Kushner and P. G. Dupuis, Numerical Methods for Stochastic Control Problems in Continuous Time, Stochastic Modeling and Applied Probability, Vol. 24 (Springer Science & Business Media, 2013)]. In particular, existence and uniqueness properties of the discrete MFG are investigated with convergence results under adequate assumptions.


Author(s):  
Casey Boyle ◽  
Robert Gehl ◽  
Diana Zulli ◽  
Misti Yang ◽  
Jim Brown

The Promises, Problems, and Possibilities for Alt-Networks Introduction Social media has become a central facet of contemporary life and that centralization has narrowed our perspectives and lessened our possibilities (Pariser, 2011; Vaidhyanathan, 2018). This centralizing of social media networks happens for their individual users, but also at the level of how social media informs our discourses through journalistic practice, government institutions, industry sectors. Because of the role that social media now play, we have become acutely aware of their shortcomings. Their platforms not only host but actively cultivate toxic and abusive environments for many of its users. In addition to their functions of interaction, they also provide avenues for increasing governmental control through surveillance or gatekeeping. Given the lack of adequate response from tech companies to these long standing issues, it was inevitable that something had to happen. In response to these conditions, tech advocates, activists, students, and scholars have launched numerous alternatives to mainstream social networks. These networks rethink what social media can and should do in times of over reliance on monolithic digital platforms. Some networks redesign the user’s experience to lessen or eliminate harassment; some networks focus on data privacy responsibilities; some create spaces where non-centralized networks can persist even against oppressive governmental regimes. Given the rise and differentiation of alt-networks, there is a need to study and examine the proliferation of alt-networks. This panel offers four presentations varied in objects, different in methodological approaches, and diverse in their claims. In examining alt-networks, this panel will explore how these redesigned digital platforms respond to demands of scalability, how political activists develop and deploy alt-networks for protests, how researchers could cultivate a games theory approach to studying alt-networks and, finally, how the lack of certain features in alt-networks may doom their survival. The methods being explored will include critical theory, social science research, methodological discussion, and critical analysis through a rhetorical lens. Ultimately, our panel hopes to join in on emerging conversations about the ecology of networks and contribute valuable insights for internet research. A Network of Alt-Networks These papers have been carefully assembled to represent a substantial spectrum of the promises, problems, and possibilities for Alt-Tech today. In the first presentation, the paper develops a games theory approach to studying alt-networks, in this case, Mastodon instances. This is an important development as mainstream social media networks have benefited from years of research approaches, new networked objects create new networked questions requiring new methodological considerations. Related to this problem, the second presentation examines how and when alt-networks engage or resist the inevitable need to scale their operations. Such a study is important because mainstream social media impose a will to scale in ways that make it seem natural and unstoppable. The third presentation engages activists and how ad hoc alt-networks allow for platforms that avoid and leverage themselves against oppressive regimes. Finally, the fourth presentation will explore why alt-networks have so far failed alt-right political actors. This argument will look at how micro-interactions on platforms inform and drive a dangerous cycle of political antagonism. As a set, these presentations will give AoIR attendees a comprehensive survey of sites, methods, and sources for engaging and analyzing alt-networks. While the papers all draw heavily on critical theory and analysis, each differs in how they approach their objects of analysis. Using technical approaches, social science methods, speculative means, and rhetorical analysis the papers also demonstrate a wide swath of ways to encounter the alt-network. Finally, the sourcing and discourse engaged by each presentation activates multiple academic discussions while also sticking close to shared themes and concerns. The Possibilities of Alt-Networks This panel builds on recent work concerning the disappointment with mainstream social networks but also the promise of alternatives (Gehl, 2015, Tufekci, 2017). The adherence to tech industry’s unfair labor practices, the inability to respond to users’ needs, the lack of clear and consistent privacy responsibilities, the weak submission to governmental control— these concerns with social media have all been written (Noble, 2018; Roberts, 2019). The rise and proliferation of Alt-Networks is an important development for internet researchers because those innovations rekindle the earliest aims of the internet itself. Namely, the construction of a system whose topological configurations resisted centralization and allowed for its users to develop multiple ways of communicating knowledge to one another.


Author(s):  
Luka Baryshych ◽  
Igor Baklan

The paper is dedicated to the overview of current state of the evolutionary games approach to the building of environments to analyze players behavior. The evolutionary game theory applications differ from the orthodox game theory. Initially, it was used to address problems in evolutionary biology and later was suited for broader range of problems.We will oversee the development of the evolutionary games theory in finance and its applications in behavior analysis in competitive gaming. The paper is focused on replicator dynamics, learning model based on it and its possible application to behavior analysis based on fuzzy algorithms and approaches used in economics to be applied to the new emerging field of cybersports.


2021 ◽  
Vol 9 ◽  
pp. 14-19
Author(s):  
Antans Sauhats ◽  
Renata Varfolomejeva ◽  
Inga Umbrasko ◽  
Hasan Coban

This paper is devoted to the consideration of case of the use of small rivers energy, the current system of support relevant projects, its drawbacks and opportunities to remove them. Cooperative game theory approach is used for analysis of regime management of the small-scale hydro power plant (SHPP). Technical and economical aspects of the issue are observed. The obtained results demonstrate the validity of the cooperation for obtaining additional income.


Author(s):  
Prokudin Georgii ◽  
Chupaylenko Оleksii ◽  
Prokudin Оleksii ◽  
Khobotnia Tetiana ◽  
Nelia Kopiak

The process of international freight transportation is quite complex and cumbersome in terms of the technology of preparatory and final operations, loading and unloading operations, issuance of shipping documents and direct transportation of goods. All this is associated with possible risks that may arise at any stage of the organization and implementation of transportation and, ultimately, to negatively affect the efficiency indicators of the international freight transportation process, such as: delivery time, total costs, quality of transportation in general, etc. Ensuring the maximum level of quality and minimizing the cost of international freight is possible through the optimal choice of measures to reduce the negative impacts of transportation at each stage of the process of delivery of goods from the shipper to the consignee. The article proposes the use of the mathematical apparatus of the statistical games theory during the process of international freight transportation using one’s own and borrowed rolling stock, and aims to reduce the impact of risks that may arise during transportation and thus increase the transport tariff, and accordingly, the total cost of delivery of goods.


Author(s):  
I. Zelisko ◽  
O. Sosnovska ◽  
L. Oliinyk ◽  
V. Stefkivskyy ◽  
I. Manaienko

Purpose. To work out an algorithm of an entrepreneur business process optimization in order to systemize and ensure the quality of implementation of key business processes of an insurer as the condition of increasing his/her level of economic security in a turbulent business environment. Methodology. In the study there were used general scientific and specific methods of cognition, in particular: logical colligation, analysis, dialectic synthesis and grouping, induction and deduction, process approach, factor analysis, graphical visualization, economic-mathematical modelling. Findings. The necessity of business process optimization for an insurer was established as a strategically important subject of market relationship development. A logical-structural scheme of interconnection of the main business processes of an insurer is formed; the processes are gradually implemented by stages of insurance services progress, risks underwriting, reinsurance, effecting of an insurance agreement, forming and placing insurance funds and settlement of losses. The main structural elements of the insurers business process optimization were systemized. The methodical approach to the insurers business processes reengineering was proposed on the basis of the games theory just to form a new model of business processes and to increase its optimization process effectiveness. Originality. An algorithm of the insurers business process optimization was worked out, which includes the process of their planning, diagnostics, implementation of changes and monitoring just to increase the quality of key business process realization as the condition for ensuring economically safe functioning of the business entity. Practical value. The practical value is in the possibility to use them in insurance companies activities, which will ensure their sustainable functioning and development in the strategic perspective.


2021 ◽  
Vol 7 (2) ◽  
pp. 18-37
Author(s):  
Gastón Milanesi

In competitive environments, the design and election of strategies demand to consider three potential sources of uncertainty: risks derived from self-actions, risks emerged from states of nature and risks derived from competitors´ decisions. For that, a numerical model that considers the competitors´ actions is required, for value strategies, join venture design and penalty quantification. The paper proposes a simple numerical model of Game Theory and Real Options with multiples source of risk. The first part exposes the mathematical basis of the model. Its functioning is illustrated with the cases valuation related to strategies without collaborative agreement. Next, the cooperation strategy and default monetary penalties are valued. Finally, the main conclusions are exposed.


Author(s):  
M.I. Gomoyunov ◽  
D.A. Serkov

For a dynamical system controlled under conditions of disturbances, a problem of optimizing the guaranteed result is considered. A feature of the problem is the presence of functional constraints on disturbances, under which, in general, the set of admissible disturbances is not closed with respect to the operation of “gluing up” of two of its elements. This circumstance does not allow to apply directly the methods developed within the differential games theory for studying the problem and, thus, leads to the necessity of modifying them appropriately. The paper provides a new notion of a non-anticipative control strategy. It is proved that the corresponding functional of the optimal guaranteed result satisfies the dynamic programming principle. As a consequence, so-called properties of $u$- and $v$-stability of this functional are established, which may allow, in the future, to obtain a constructive solution of the problem in the form of feedback (positional) controls.


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