Dynamic Games and Applications
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On the Suicidal Pedestrian Differential Game
Dynamic Games and Applications - Tập 5 - Trang 297-317 - 2014
We consider the following differential game of pursuit and evasion involving two participating players: an evader, which has limited maneuverability, and an agile pursuer. The agents move on the Euclidean plane with different but constant speeds. Whereas the pursuer can change the orientation of its velocity vector arbitrarily fast, that is, he is a “pedestrian” á la Isaacs, the evader cannot make......
Coordinated Replenishment Game and Learning Under Time Dependency and Uncertainty of the Parameters
Dynamic Games and Applications - Tập 13 - Trang 326-352 - 2022
This research proposes a periodic review multi-item two-layer inventory model. The main contribution is a novel approach to determine the can-order threshold in a two-layer model under time-dependent and uncertain demand and setup costs. The first layer consists of a learning mechanism to forecast demand and forecast setup costs. The second layer involves the coordinated replenishment of items, wh......
Preface: DGAA Special Issue on Dynamic Games for Networks
Dynamic Games and Applications - Tập 3 - Trang 1-2 - 2013
Games Without Winners: Catching-up with Asymmetric Spillovers
Dynamic Games and Applications - Tập 11 - Trang 670-703 - 2021
Multi-modal differential R&D game with asymmetric players is studied. It is demonstrated that under sufficiently asymmetric players there is no long-run ‘winner’ in this game in terms of developed technologies and all players try to imitate each other. Moreover, this outcome may be the only equilibrium in the cooperative game. In decentralized setting, additional complex types of dynamics are obse......
The Classical Homicidal Chauffeur Game
Dynamic Games and Applications - Tập 9 - Trang 800-850 - 2018
The Homicidal Chauffeur differential game is often mentioned in the literature, but the game’s complete solution is not readily available. In this work, the complete solution process of the Homicidal Chauffeur differential game is illustrated for the parameter range in the heart of the speed ratio-capture radius parameter space initially investigated by Isaacs, and referred to by Breakwell and Mer......
Deterministic Approximation of a Stochastic Imitation Dynamics with Memory
Dynamic Games and Applications -
The Evolution of Coercive Institutional Punishment
Dynamic Games and Applications - Tập 2 - Trang 97-109 - 2011
Institutional punishment plays a central role in human societies. Yet research in evolutionary game theory has focused almost exclusively on peer punishment. Here we present a model for the evolution of institutional punishment. We consider a set of states (“kingdoms”), each consisting of a number of individuals (“subjects”) and a single leader (“king”). Subjects choose how much to pay to the king......
Game-Theoretical Model of the Voluntary Use of Insect Repellents to Prevent Zika Fever
Dynamic Games and Applications - Tập 12 Số 1 - Trang 133-146 - 2022
Markov Perfect Equilibria in Multi-Mode Differential Games with Endogenous Timing of Mode Transitions
Dynamic Games and Applications - Tập 12 - Trang 363-393 - 2021
We study Markov perfect equilibria (MPE) of two-player multi-mode differential games with controlled state dynamics, where one player controls the transition between modes. Different types of MPE are characterized distinguishing between delay equilibria, inducing for some initial conditions mode switches after a positive finite delay, and now or never equilibria, under which, depending on the init......
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