Searched for: author%3A%22Stankova%2C+K.%22
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Stein, Alexander (author), Salvioli, M. (author), Garjani, Hasti (author), Dubbeldam, J.L.A. (author), Viossat, Yannick (author), Brown, Joel S. (author), Staňková, K. (author)
Stackelberg evolutionary game (SEG) theory combines classical and evolutionary game theory to frame interactions between a rational leader and evolving followers. In some of these interactions, the leader wants to preserve the evolving system (e.g. fisheries management), while in others, they try to drive the system to extinction (e.g. pest...
journal article 2023
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Hilbe, Christian (author), Kleshnina, Maria (author), Staňková, K. (author)
contribution to periodical 2023
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Kleshnina, Maria (author), Streipert, Sabrina (author), Brown, Joel S. (author), Staňková, K. (author)
Nature exhibits rapid evolution in response to human activities. When using natural resources for their own profit, humans should account for such responses. Stackelberg evolutionary games (SEG) offer a method for modeling interactions between a rational leader (humans) and evolutionary followers (nature). The followers evolve according to...
journal article 2023
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Kuipers, Jeroen (author), Schoenmakers, Gijs (author), Staňková, K. (author)
We consider two-player zero-sum differential games of fixed duration, where the running payoff and the dynamics are both linear in the controls of the players. Such games have a value, which is determined by the unique viscosity solution of a Hamilton–Jacobi-type partial differential equation. Approximation schemes for computing the viscosity...
journal article 2023
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Laleh, Narmin Ghaffari (author), Loeffler, Chiara Maria Lavinia (author), Grajek, Julia (author), Staňková, K. (author), Pearson, Alexander T. (author), Muti, Hannah Sophie (author), Trautwein, Christian (author), Enderling, Heiko (author), Poleszczuk, Jan (author), Kather, Jakob Nikolas (author)
Classical mathematical models of tumor growth have shaped our understanding of cancer and have broad practical implications for treatment scheduling and dosage. However, even the simplest textbook models have been barely validated in real world-data of human patients. In this study, we fitted a range of differential equation models to tumor...
journal article 2022
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Bayer, Péter (author), Gatenby, Robert A. (author), McDonald, Patricia H. (author), Duckett, Derek R. (author), Staňková, K. (author), Brown, Joel S. (author)
We propose a model of cancer initiation and progression where tumor growth is modulated by an evolutionary coordination game. Evolutionary games of cancer are widely used to model frequency-dependent cell interactions with the most studied games being the Prisoner's Dilemma and public goods games. Coordination games, by their more obscure and...
journal article 2022
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Pressley, Mariyah (author), Salvioli, Monica (author), Lewis, David B. (author), Richards, Christina L. (author), Brown, Joel S. (author), Staňková, K. (author)
Rapid evolution is ubiquitous in nature. We briefly review some of this quite broadly, particularly in the context of response to anthropogenic disturbances. Nowhere is this more evident, replicated and accessible to study than in cancer. Curiously cancer has been late - relative to fisheries, antibiotic resistance, pest management and...
journal article 2021
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Wölfl, Benjamin (author), te Rietmole, Hedy (author), Salvioli, M. (author), Kaznatcheev, Artem (author), Thuijsman, Frank (author), Brown, Joel S. (author), Burgering, Boudewijn (author), Staňková, K. (author)
Evolutionary game theory mathematically conceptualizes and analyzes biological interactions where one’s fitness not only depends on one’s own traits, but also on the traits of others. Typically, the individuals are not overtly rational and do not select, but rather inherit their traits. Cancer can be framed as such an evolutionary game, as it...
review 2021
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Salvioli, Monica (author), Dubbeldam, J.L.A. (author), Staňková, K. (author), Brown, Joel S. (author)
Fish populations subject to heavy exploitation are expected to evolve over time smaller average body sizes. We introduce Stackelberg evolutionary game theory to show how fisheries management should be adjusted to mitigate the potential negative effects of such evolutionary changes. We present the game of a fisheries manager versus a fish...
journal article 2021
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Dujon, Antoine M. (author), Aktipis, Athena (author), Alix-Panabières, Catherine (author), Amend, Sarah R. (author), Boddy, Amy M. (author), Brown, Joel S. (author), Capp, Jean Pascal (author), DeGregori, James (author), Staňková, K. (author)
The application of evolutionary and ecological principles to cancer prevention and treatment, as well as recognizing cancer as a selection force in nature, has gained impetus over the last 50 years. Following the initial theoretical approaches that combined knowledge from interdisciplinary fields, it became clear that using the eco...
journal article 2021
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Cunningham, Jessica (author), Thuijsman, Frank (author), Peeters, Ralf (author), Viossat, Yannick (author), Brown, Joel (author), Gatenby, Robert (author), Staňková, K. (author)
In the absence of curative therapies, treatment of metastatic castrate-resistant prostate cancer (mCRPC) using currently available drugs can be improved by integrating evolutionary principles that govern proliferation of resistant subpopulations into current treatment protocols. Here we develop what is coined as an ‘evolutionary stable...
journal article 2020
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You, Li (author), von Knobloch, Maximilian (author), Lopez, Teresa (author), Peschen, Vanessa (author), Radcliffe, Sidney (author), Sam, Praveen Koshy (author), Thuijsman, Frank (author), Staňková, K. (author), Brown, Joel S. (author)
For cancer, we develop a 2-D agent-based continuous-space game-theoretical model that considers cancer cells’ proximity to a blood vessel. Based on castrate resistant metastatic prostate cancer (mCRPC), the model considers the density and frequency (eco-evolutionary) dynamics of three cancer cell types: those that require exogenous...
journal article 2019
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Schüller, Katharina (author), Staňková, K. (author), Thuijsman, Frank (author)
In this paper we put forward a simple game-theoretical model of pollution control, where each country is in control of its own pollution, while the environmental effects of policies do not stop at country borders. In our noncooperative differential game, countries as players minimize the present value of their own costs defined as a linear...
journal article 2017
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Ranjbar-Sahraei, B. (author), Alers, S. (author), Stankova, K. (author), Tuyls, K. (author), Weiss, G. (author)
Diversity and inequality are essences of our real world. Ant colonies are comprised of hundreds of individuals, with no two of them being exactly identical. A flock of birds contains individuals with slight variations in size, speed and vision. Looking at human societies such diversity can be seen among individuals differing in body shape and in...
conference paper 2013
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Stankova, K. (author)
This thesis studies the so-called inverse Stackelberg games, that are new in the world of game theory, their properties, and their applications in the optimal toll design problem, the energy markets liberalization problem, and in the theory of incentives.
doctoral thesis 2009
Searched for: author%3A%22Stankova%2C+K.%22
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