Consider a unit-mass population of agents who repeatedly interact in pairs to play a symmetric stage game. The set of strategies available to each agent is finite and denoted by \(S \equiv \{1, \ldots , n\}\). A population state is a vector \(x \in X \equiv \{x \in {\mathbb{R}}^n_+: \sum _{i \in S} x_i = 1\}\), with \(x_i\) … Zobacz więcej For every \(x \in X\), \(\phi _{ij}(x) > 0\) if \(F(i,j) > F(j,i)\). In what follows we consider a dynamical system in continuous time with state space X, characterized by … Zobacz więcej If \(i \in S\) is a supreme strategy, then state \(x^* \equiv \left\{ x \in X : x_i = 1 \right\} \) is globally asymptotically stable for the dynamical system with state space \(X_{x^*}\) and PIID as equation of motion. Zobacz więcej (Supremacy) Strategy \(i\in S\) is supreme if \(F(i,j)>F(j,i)\) for every \(j \in S \setminus \{i\}\). We note that under PIID, the concept of … Zobacz więcej Witryna28 lip 2010 · Fu Y and Ramazi P (2024) Asynchronous Decision-Making Dynamics Under Imitation Update Rule in Heterogeneous Populations 2024 IEEE 58th …
Imitation dynamics with time delay - ScienceDirect
Witryna30 paź 2024 · Evolutionary game dynamics such as replicator dynamics [13], imitative dynamics [14], [15], best-response dynamics [16] can describe the evolution of the frequency of strategy in a population. At ... WitrynaBehavioral imitation through a game theoretical decision-making process is incorporated to study and project the dynamics of the COVID-19 outbreak in Wuhan, China. By … dakcoating wit
Bifurcation Analysis of Three-Strategy Imitative Dynamics with Mutations
Witryna1 maj 2024 · 1. Introduction. It is well known that imitation dynamics provides a fundamental theoretical framework to discuss how the spreading of successful … Witryna11 kwi 2024 · Therefore, aspiration-driven dynamics, based on self-evaluation, require less information about an individual's strategic environment than imitation dynamics … WitrynaPHYSICAL REVIEW RESEARCH4, 013158 (2024) Epidemic proximity and imitation dynamics drive infodemic waves during the COVID-19 pandemic Valeria d’Andrea , 1,* Oriol Artime, 1Nicola Castaldo, Pierluigi Sacco,2 3 4 Riccardo Gallotti, and Manlio De Domenico ,5 † 1CoMuNe Lab, Fondazione Bruno Kessler, Via Sommarive 18, 38123 … dak cottbus fax