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On stability of Nash equilibrium situations and Pareto optimal situations in finite games [PDF]
Computer Science Journal of Moldova, 2003 A non-cooperative finite game of several persons is considered in the case, where payoff functions are linear. Extreme levels of independent perturbations of payoff functions parameters, which remain Nash and Pareto optimality of a situation, are ...
Vladimir A. Emelichev +1 more
doaj +3 more sources
Journal of information and organizational sciences, 2016 In finite noncooperative game, a method for finding approximate Nash equilibrium situations is developed. The method is prior-based on sampling fundamental simplexes being the sets of players’ mixed strategies. Whereas the sampling is exercised, the sets of players’ mixed strategies are mapped into finite lattices.
Vadim Romanuke
openaire +4 more sources
On stability of an optimal situation in a finite cooperative game with a parametric concept of equilibrium (from lexicographic optimality to Nash equilibrium) [PDF]
Computer Science Journal of Moldova, 2005 A parametric concept of equilibrium (principle of optimality) in a finite cooperative game in normal form of several players is introduced. This concept is defined by means of the partition of players into coalitions.
Sergey E. Bukhtoyarov +1 more
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Learning in Multi-Memory Games Triggers Complex Dynamics Diverging from Nash Equilibrium [PDF]
International Joint Conference on Artificial Intelligence, 2023 Repeated games consider a situation where multiple agents are motivated by their independent rewards throughout learning. In general, the dynamics of their learning become complex. Especially when their rewards compete with each other like zero-sum games,
Yuma Fujimoto, Kaito Ariu, Kenshi Abe
semanticscholar +1 more source
Dynamic Cournot-Nash equilibrium: the non-potential case [PDF]
Mathematics and Financial Economics, 2022 We consider a large population dynamic game in discrete time where players are characterized by time-evolving types. It is a natural assumption that the players’ actions cannot anticipate future values of their types.
J. Backhoff‐Veraguas, Xin Zhang
semanticscholar +1 more source
Cournot-Nash Equilibrium and Optimal Transport in a Dynamic Setting [PDF]
SIAM Journal of Control and Optimization, 2020 We consider a large population dynamic game in discrete time. The peculiarity of the game is that players are characterized by time-evolving types, and so reasonably their actions should not anticipate the future values of their types.
Beatrice Acciaio +2 more
semanticscholar +1 more source
Generic catastrophic poverty when selfish investors exploit a degradable common resource
Royal Society Open Science, 2023 The productivity of a common pool of resources may degrade when overly exploited by a number of selfish investors, a situation known as the tragedy of the commons.
Claudius Gros
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, 2021 A linear-quadratic positional differential game of N persons is considered. The solution of a game in the form of Nash equilibrium has become widespread in the theory of noncooperative differential games.
V. Zhukovskiĭ +2 more
semanticscholar +1 more source
Competitive Behavior of Developers' Development Scale in the Assembled Construction Market: An Analysis Based on Game Theory [PDF]
E3S Web of Conferences, 2019 The paper constructs the oligopoly models of assembled building developers based on Cournot model and Stackelberg model of development scale competition. Based on the comparison of the profit of the regional assembled building market, which is obvious in
Luo Gangqiang, Wang Qin
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Defence Technology, 2023 Cooperative autonomous air combat of multiple unmanned aerial vehicles (UAVs) is one of the main combat modes in future air warfare, which becomes even more complicated with highly changeable situation and uncertain information of the opponents. As such,
Zhi Ren +4 more
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