Logit Dynamics with Concurrent Updates for Local Interaction Potential Games

Algorithmica ◽  
2014 ◽  
Vol 73 (3) ◽  
pp. 511-546 ◽  
Author(s):  
Vincenzo Auletta ◽  
Diodato Ferraioli ◽  
Francesco Pasquale ◽  
Paolo Penna ◽  
Giuseppe Persiano
Keyword(s):  
Interaction Potential ◽  
Local Interaction ◽  
Potential Games ◽  
Concurrent Updates ◽  
Logit Dynamics

scholarly journals Logit Dynamics with Concurrent Updates for Local Interaction Games

2013 ◽  
pp. 73-84 ◽  
Author(s):  
Vincenzo Auletta ◽  
Diodato Ferraioli ◽  
Francesco Pasquale ◽  
Paolo Penna ◽  
Giuseppe Persiano
Keyword(s):  
Local Interaction ◽  
Concurrent Updates ◽  
Logit Dynamics

scholarly journals Logit Dynamics with Concurrent Updates for Local Interaction Games

2017 ◽  
pp. 17-22
Author(s):  
Vincenzo Auletta ◽  
Diodato Ferraioli ◽  
Francesco Pasquale ◽  
Paolo Penna ◽  
Giuseppe Persiano
Keyword(s):  
Local Interaction ◽  
Concurrent Updates ◽  
Logit Dynamics

scholarly journals Metastability of the Logit Dynamics for Asymptotically Well-Behaved Potential Games

2019 ◽  
Vol 15 (2) ◽  
pp. 1-42
Author(s):  
Diodato Ferraioli ◽  
Carmine Ventre
Keyword(s):  
Potential Games ◽  
Logit Dynamics

scholarly journals STABLE STATIONARY STATES OF NON-LOCAL INTERACTION EQUATIONS

2010 ◽  
Vol 20 (12) ◽  
pp. 2267-2291 ◽  
Author(s):  
KLEMENS FELLNER ◽  
GAËL RAOUL
Keyword(s):  
Linear Stability ◽  
Stationary State ◽  
Interaction Potential ◽  
Local Interaction ◽  
Repulsive Interaction ◽  
Stationary States ◽  
State Formula ◽  
Finite Sums ◽  
Non Local ◽  
Finite Sum

In this paper, we are interested in the large-time behaviour of a solution to a non-local interaction equation, where a density of particles/individuals evolves subject to an interaction potential and an external potential. It is known that for regular interaction potentials, stable stationary states of these equations are generically finite sums of Dirac masses. For a finite sum of Dirac masses, we give (i) a condition to be a stationary state, (ii) two necessary conditions of linear stability w.r.t. shifts and reallocations of individual Dirac masses, and (iii) show that these linear stability conditions imply local non-linear stability. Finally, we show that for regular repulsive interaction potential Wε converging to a singular repulsive interaction potential W, the Dirac-type stationary states [Formula: see text] approximate weakly a unique stationary state [Formula: see text]. We illustrate our results with numerical examples.

Local interaction rules and collective motion in black neon tetra (Hyphessobrycon herbertaxelrodi) and zebrafish (Danio rerio).

2019 ◽  
Vol 133 (2) ◽  
pp. 143-155 ◽  
Author(s):  
Vicenç Quera ◽  
Elisabet Gimeno ◽  
Francesc S. Beltran ◽  
Ruth Dolado
Keyword(s):  
Danio Rerio ◽  
Collective Motion ◽  
Local Interaction

Estimation of capacity of information media with local interaction

2001 ◽  
Vol 10 (0) ◽  
pp. 212-216
Author(s):  
І. Я. Кіцула
Keyword(s):  
Local Interaction ◽  
Information Media
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