scholarly journals Spatially Inhomogeneous Evolutionary Games

2021 ◽  
Vol 74 (7) ◽  
pp. 1353-1402
Author(s):  
Luigi Ambrosio ◽  
Massimo Fornasier ◽  
Marco Morandotti ◽  
Giuseppe Savaré
Author(s):  
Stefano Almi ◽  
Marco Morandotti ◽  
Francesco Solombrino

AbstractA multi-step Lagrangian scheme at discrete times is proposed for the approximation of a nonlinear continuity equation arising as a mean-field limit of spatially inhomogeneous evolutionary games, describing the evolution of a system of spatially distributed agents with strategies, or labels, whose payoff depends also on the current position of the agents. The scheme is Lagrangian, as it traces the evolution of position and labels along characteristics, and is a multi-step scheme, as it develops on the following two stages: First, the distribution of strategies or labels is updated according to a best performance criterion, and then, this is used by the agents to evolve their position. A general convergence result is provided in the space of probability measures. In the special cases of replicator-type systems and reversible Markov chains, variants of the scheme, where the explicit step in the evolution of the labels is replaced by an implicit one, are also considered and convergence results are provided.


1983 ◽  
Vol 28 (6) ◽  
pp. 421-422
Author(s):  
John C. Fentress
Keyword(s):  

1998 ◽  
Vol 08 (PR7) ◽  
pp. Pr7-33-Pr7-42
Author(s):  
L. L. Alves ◽  
G. Gousset ◽  
C. M. Ferreira

1994 ◽  
Vol 49 (1-2) ◽  
pp. 19-26 ◽  
Author(s):  
B. Blümich

Abstract Recent developments, focussing on reduction of the rf excitation power by stochastic excitation, on improvements in sensitivity and excitation bandwidth by magic angle spinning, and on combining wideline spectroscopy with spatial resolution for investigations o f spatially inhomogeneous objects are reviewed.


2021 ◽  
Vol 144 ◽  
pp. 110709
Author(s):  
Lan Zhang ◽  
Changwei Huang ◽  
Haihong Li ◽  
Qionglin Dai ◽  
Junzhong Yang

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