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In this work we propose a kinetic formulation for evolutionary game theory for zero sum games when the agents use mixed strategies. We start with a simple adaptive rule, where after an encounter each agent increases the probability of play…

偏微分方程分析 · 数学 2020-06-16 Juan Pablo Pinasco , Mauro Rodriguez-Cartabia , Nicolas Saintier

Many real-world optimization problems occur in environments that change dynamically or involve stochastic components. Evolutionary algorithms and other bio-inspired algorithms have been widely applied to dynamic and stochastic problems.…

神经与进化计算 · 计算机科学 2020-01-30 Vahid Roostapour , Mojgan Pourhassan , Frank Neumann

We present a simple game which mimics the complex dynamics found in most natural and social systems. Intelligent players modify their strategies periodically, depending on their performances. We propose that the agents use hybridized…

统计力学 · 物理学 2009-11-07 Marko Sysi-Aho , Anirban Chakraborti , Kimmo Kaski

In this note, we extend an evolutionary stochastic portfolio optimization framework to include probabilistic constraints. Both the stochastic programming-based modeling environment as well as the evolutionary optimization environment are…

投资组合管理 · 定量金融 2014-01-21 Ronald Hochreiter

Evolutionary game dynamics with two 2-strategy games in a finite population has been investigated in this study. Traditionally, frequency-dependent evolutionary dynamics are modeled by deterministic replicator dynamics under the assumption…

种群与进化 · 定量生物学 2013-06-03 Koh Hashimoto

The fitness of a biological strategy is typically measured by its expected reproductive rate, the first moment of its offspring distribution. However, strategies with high expected rates can also have high probabilities of extinction. A…

种群与进化 · 定量生物学 2013-05-17 Sterling Sawaya , Steffen Klaere

We model evolution according to an asymmetric game as occurring in multiple finite populations, one for each role in the game, and study the effect of subjecting individuals to stochastic strategy mutations. We show that, when these…

种群与进化 · 定量生物学 2015-12-22 Carl Veller , Laura K. Hayward

In games with a large number of players where players may have overlapping objectives, the analysis of stable outcomes typically depends on player types. A special case is when a large part of the player population consists of imitation…

计算机科学与博弈论 · 计算机科学 2010-06-18 Soumya Paul , R. Ramanujam

According to the fundamental principle of evolutionary game theory, the more successful strategy in a population should spread. Hence, during a strategy imitation process a player compares its payoff value to the payoff value held by a…

物理与社会 · 物理学 2021-07-07 A. Szolnoki , M. Perc

Studying strategy update rules in the framework of evolutionary game theory, one can differentiate between imitation processes and aspiration-driven dynamics. In the former case, individuals imitate the strategy of a more successful peer.…

种群与进化 · 定量生物学 2014-03-06 Jinming Du , Bin Wu , Philipp M. Altrock , Long Wang

Models of adaptive bet-hedging commonly adopt insights from Kelly's famous work on optimal gambling strategies and the financial value of information. In particular, such models seek evolutionary solutions that maximize long term average…

种群与进化 · 定量生物学 2020-03-18 Omri Tal , Tat Dat Tran

Most evolutionary algorithms have parameters, which allow a great flexibility in controlling their behavior and adapting them to new problems. To achieve the best performance, it is often needed to control some of the parameters during…

神经与进化计算 · 计算机科学 2021-06-07 Maxim Buzdalov , Carola Doerr

Evolutionary robot systems offer two principal advantages: an advanced way of developing robots through evolutionary optimization and a special research platform to conduct what-if experiments regarding questions about evolution. Our study…

机器人学 · 计算机科学 2023-09-26 Jie Luo , Karine Miras , Jakub Tomczak , Agoston E. Eiben

This paper demonstrates the use of genetic algorithms for evolving a grandmaster-level evaluation function for a chess program. This is achieved by combining supervised and unsupervised learning. In the supervised learning phase the…

神经与进化计算 · 计算机科学 2017-11-21 Eli David , H. Jaap van den Herik , Moshe Koppel , Nathan S. Netanyahu

We study the fragmentation-coagulation (or merging and splitting) evolutionary control model as introduced recently by one of the authors, where $N$ small players can form coalitions to resist to the pressure exerted by the principal. It is…

最优化与控制 · 数学 2022-05-03 Alekos Cecchin , Vassili N. Kolokoltsov

Since the advent of computers, many tasks which required humans to spend a lot of time and energy have been trivialized by the computers' ability to perform repetitive tasks extremely quickly. Playing chess is one such task. It was one of…

人工智能 · 计算机科学 2017-08-22 Rahul Aralikatte , G Srinivasaraghavan

In order to understand if and how strategic resource allocation can constrain the structure of pair-wise competition outcomes in competitive human competitions we introduce a new multiplayer resource allocation game, the Population Lotto…

计算机科学与博弈论 · 计算机科学 2022-09-02 Giovanni Artiglio , Aiden Youkhana , Joel Nishimura

The prevailing methodology for analyzing population games and evolutionary dynamics in the large population limit assumes that a Poisson process (or clock) inherent to each agent determines when the agent can revise its strategy. Hence,…

系统与控制 · 电气工程与系统科学 2022-04-04 Semih Kara , Nuno C. Martins , Murat Arcak

Involution now refers to the phenomenon that competitors in the same field make more efforts to struggle for limited resources but get lower individual ''profit effort ratio''. In this work, we investigate the evolution of the involution…

物理与社会 · 物理学 2024-01-23 Bo Li

To investigate the origin of cooperative behaviors, we developed an evolutionary model of sequential strategies and tested our model with computer simulations. The sequential strategies represented by stochastic machines were evaluated…

计算机科学与博弈论 · 计算机科学 2021-01-12 Jin Hong Kuan , Aadesh Salecha