Advances in Zero-Sum Dynamic Games [PDF]
, 2015 International audienceThe survey presents recent results in the theory of two-person zero-sum repeated games and their connections with differential and continuous-time games.
Agarwal +159 more
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On a Connection between Differential Games, Optimal Control, and Energy-based Models for Multi-Agent Interactions [PDF]
arXiv.org, 2023 Game theory offers an interpretable mathematical framework for modeling multi-agent interactions. However, its applicability in real-world robotics applications is hindered by several challenges, such as unknown agents' preferences and goals.
Christopher Diehl +4 more
semanticscholar +1 more source
On the Population Size in Stochastic Differential Games [PDF]
Notices of the American Mathematical Society, 2023 Commuters looking for the shortest path to their destinations, the security of networked computers, hedge funds trading on the same stocks, governments and populations acting to mitigate an epidemic, or employers and employees agreeing on a contact, are ...
Dylan Possamai, Ludovic Tangpi
semanticscholar +1 more source
Stackelberg strategies in linear-quadratic stochastic differential games [PDF]
, 1981 This paper obtains the Stackelberg solution to a class of two-player stochastic differential games described by linear state dynamics and quadratic objective functionals.
Bagchi, A., Basar, T.
core +3 more sources
Stochastic Adaptive Linear Quadratic Differential Games [PDF]
IEEE Transactions on Automatic Control, 2022 Game theory is playing more and more important roles in understanding complex systems and in investigating intelligent machines with various uncertainties.
Nian Liu, Lei Guo
semanticscholar +1 more source
Non-linear incentive equilibrium strategies for a transboundary pollution differential game [PDF]
, 2019 Producción CientíficaIn this paper we apply non-linear incentive strategies to sustain over time an agreement. We illustrate the use of these strategies in a linear-quadratic transboundary pollution differential game.
Frutos Baraja, Francisco Javier de +1 more
core +2 more sources
Tauberian theorem for value functions [PDF]
, 2017 For two-person dynamic zero-sum games (both discrete and continuous settings), we investigate the limit of value functions of finite horizon games with long run average cost as the time horizon tends to infinity and the limit of value functions of ...
Khlopin, Dmitry
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Universal Nash Equilibrium Strategies for Differential Games [PDF]
, 2013 The paper is concerned with a two-player nonzero-sum differential game in the case when players are informed about the current position. We consider the game in control with guide strategies first proposed by Krasovskii and Subbotin.
Averboukh, Yurii
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Systems, environments, and soliton rate equations: A non-Kolmogorovian framework for population dynamics [PDF]
, 2013 Soliton rate equations are based on non-Kolmogorovian models of probability and naturally include autocatalytic processes. The formalism is not widely known but has great unexplored potential for applications to systems interacting with environments ...
Aerts, Diederik +3 more
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Differential Games: A New Perspective with Artificial Intelligence
WSEAS Transactions on SystemsDifferential Game Theory has seen significant advancements in recent years, driven by numerous scholars exploring theoretical and practical aspects of the field. In this paper, we summarize the principal findings in pursuit-evasion games, focusing on Cop-
M. Ferrara, B. Pansera
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