Preface: Special Issue on Game Theory and Optimization in Honor of Pierre Bernhard
World Scientific Publishing Co | International Game Theory Review
by Marc Deschamps, Georges Zaccour
2w ago
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Ecological Economics and Dynamic Games: A Systematic Literature Review
World Scientific Publishing Co | International Game Theory Review
by Régis Y. Chenavaz, Stanko Dimitrov, Shoude Li
2w ago
International Game Theory Review, Ahead of Print. Ecological and environmental economics are inherently dynamic systems requiring dynamic optimization tools. Understanding the interplay between environmental economics, ecological economics, and dynamic games is crucial. This paper presents a systematic literature review on ecological and environmental economics modeled with dynamic games. To be more specific, this systematic literature review analyzes a dataset of 88 peer-reviewed articles from international journals. This study identifies clusters related to resource management, taxation, and ..read more
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Assessing Available Care Time and Nursing Shortage in a Hospital
World Scientific Publishing Co | International Game Theory Review
by Romain Biard, Marc Deschamps, Mostapha Diss, Alexis Roussel
3w ago
International Game Theory Review, Ahead of Print. This paper develops a model to assess the number of nurses needed to ensure both healthy patients and caregivers. We propose a model with random arrivals and exits of patients who may be of a single type (or several), and calculate the average care time they can receive. We show that the mean care time does not depend only on the mean number of patients in the unit. Actually, the probability distribution of the new patients per time step plays a central role. In the Poissonian case, we obtain totally explicit results, prove that the mean care t ..read more
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Selfish Grower Behavior Can Group-optimally Eradicate Plant Diseases Caused by Coinfection
World Scientific Publishing Co | International Game Theory Review
by Frank M. Hilker, Lea-Deborah Kolb, Frédéric M. Hamelin
1M ago
International Game Theory Review, Ahead of Print. Game-theoretic behavioral and epidemiological models suggest that it is impossible to eradicate a disease through voluntary control actions when individuals behave according to their own interests. The simple reason is that free-riding behavior, which is best for self-interest, leads to a control coverage on the group level that is insufficient to eradicate the disease. Here we show that, for diseases that are caused by coinfection, self-interest can actually result in the socially optimal outcome of disease eradication. Our result challenges t ..read more
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Reintroducing Time, Money and Constraints: Viability to Bridge the Economic and Monetary Theories
World Scientific Publishing Co | International Game Theory Review
by Jean-Pierre Aubin, Pierre-Cyril Aubin-Frankowski, Vladimir Lozève
2M ago
International Game Theory Review, Ahead of Print. Why use a viabilistic approach to model economy? Because it is urgent to re-assess the modeling of the business cycle that integrates dynamic money creation and that has at its core the notion of constraints. The purpose of this paper is thus to propose an evolutionary economic model using a mathematical framework derived from set-valued analysis, differential inclusions and viability theory. As this approach is dynamical, the model will not use two concepts on which neo-classical economics are built i.e., (1) the existence of static repea ..read more
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Differential Games with Additive Payoffs
World Scientific Publishing Co | International Game Theory Review
by Leon Petrosyan, Anna Tur
2M ago
International Game Theory Review, Ahead of Print. Differential games with additive payoffs are considered. A new approach to constructing the characteristic function for such games is defined. Properties of optimality principles such as the core and the Shapley value constructed by applying the new characteristic function are studied. The solutions obtained are demonstrated by means of an example ..read more
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Maximum Principle for Mean Field Type Control Problems with General Volatility Functions
World Scientific Publishing Co | International Game Theory Review
by Alain Bensoussan, Ziyu Huang, Sheung Chi Phillip Yam
2M ago
International Game Theory Review, Ahead of Print. In this paper, we study the maximum principle of mean field type control problems when the volatility function depends on the state and its measure and also the control, by using our recently developed method in [Bensoussan, A., Huang, Z. and Yam, S. C. P. [2023] Control theory on Wasserstein space: A new approach to optimality conditions, Ann. Math. Sci. Appl.; Bensoussan, A., Tai, H. M. and Yam, S. C. P. [2023] Mean field type control problems, some Hilbert-space-valued FBSDEs, and related equations, preprint (2023), arXiv:2305.04019; Bensous ..read more
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On Construction of Subgame Perfect Nash Equilibria in Stackelberg Games
World Scientific Publishing Co | International Game Theory Review
by Francesco Caruso, Maria Carmela Ceparano, Jacqueline Morgan
2M ago
International Game Theory Review, Ahead of Print. Identifying a Subgame Perfect Nash Equilibrium (SPNE) of a two-player Stackelberg game could be not a manageable task, especially when the players have a continuum of actions and the follower’s best reply correspondence is not single-valued. Aim of the paper is to investigate the issue of construction of SPNEs in Stackelberg games by exploiting perturbations of both the action sets and the payoff functions of the leader and the follower. To achieve the goal, since the limit of SPNEs of perturbed games is not necessarily an SPNE of the original ..read more
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A Note on Zero-Sum Two-Person Undiscounted One Player Control Semi-Markov Games
World Scientific Publishing Co | International Game Theory Review
by Prasenjit Mondal
2M ago
International Game Theory Review, Ahead of Print. Zero-sum two-person finite undiscounted (limiting ratio average) semi-Markov games are considered where both the transition probabilities and the transition times are controlled by a fixed player in all states. We prove that, if such a game is unichain, the value and optimal stationary strategies of the players can be obtained from an optimal solution of the linear programming algorithm for the associated one player control stochastic game using a data transformation method. An example is provided for such class of games ..read more
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Inducement of Desired Behavior via Soft Policies
World Scientific Publishing Co | International Game Theory Review
by Tamer Başar
2M ago
International Game Theory Review, Ahead of Print. Terms like inducement, incentivization, persuasion, and to some extent enticement, are used in our daily lives to describe situations where one individual (decision maker, or entity) acts in a way to influence the decision-making process of another individual or individuals, where the outcome could benefit all involved or only the one who has initiated the process. Such influence could be exerted in two different ways (though variations do exist): via a direct input by the influencer into the utility or reward (or loss) of the receiving party ..read more
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