scholarly journals On the convergence of finite state mean-field games through Γ-convergence

2014 ◽  
Vol 418 (1) ◽  
pp. 211-230 ◽  
Author(s):  
Rita Ferreira ◽  
Diogo A. Gomes
Keyword(s):  
Mean Field ◽  
Mean Field Games ◽  
Finite State ◽  
Γ Convergence

scholarly journals Socio-economic applications of finite state mean field games

2014 ◽  
Vol 372 (2028) ◽  
pp. 20130405 ◽  
Author(s):  
Diogo Gomes ◽  
Roberto M. Velho ◽  
Marie-Therese Wolfram
Keyword(s):  
Consumer Choice ◽  
Numerical Experiments ◽  
Free Market ◽  
Hyperbolic Systems ◽  
Mean Field ◽  
Mean Field Games ◽  
Paradigm Shifts ◽  
Choice Behaviour ◽  
Mean Field Game ◽  
Finite State

In this paper, we present different applications of finite state mean field games to socio-economic sciences. Examples include paradigm shifts in the scientific community or consumer choice behaviour in the free market. The corresponding finite state mean field game models are hyperbolic systems of partial differential equations, for which we present and validate different numerical methods. We illustrate the behaviour of solutions with various numerical experiments, which show interesting phenomena such as shock formation. Hence, we conclude with an investigation of the shock structure in the case of two-state problems.

scholarly journals Probabilistic Approach to Finite State Mean Field Games

2018 ◽  
Vol 81 (2) ◽  
pp. 253-300 ◽  
Author(s):  
Alekos Cecchin ◽  
Markus Fischer
Keyword(s):  
Probabilistic Approach ◽  
Mean Field ◽  
Mean Field Games ◽  
Finite State

scholarly journals Continuous Time Finite State Mean Field Games

2013 ◽  
Vol 68 (1) ◽  
pp. 99-143 ◽  
Author(s):  
Diogo A. Gomes ◽  
Joana Mohr ◽  
Rafael Rigão Souza
Keyword(s):  
Continuous Time ◽  
Mean Field ◽  
Mean Field Games ◽  
Finite State
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