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Dynamic Games and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bauso, Dario +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bauso, Dario +2 more
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Introduction to Mean Field Games and Mean-Field-Type Games
2021The calculation of the solution or Nash equilibrium of a differential game with N players involves solving N coupled HJB equations simultaneously. It becomes more complicated as N becomes larger due to increased interactions and coupling among the players.
Reginald A. Banez +3 more
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Fracking, Renewables, and Mean Field Games
SIAM Review, 2017Summary: The dramatic decline in oil prices, from around \$110 per barrel in June 2014 to less than \$40 in March 2016, highlights the importance of competition between different energy sources. Indeed, the sustained price drop has been primarily attributed to OPEC's strategic decision not to curb its oil production in the face of increased supply of ...
Chan, Patrick, Sircar, Ronnie
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Mean Field Games with Partial Observation
SIAM Journal on Control and Optimization, 2019Summary: Subject to reasonable conditions, in large population stochastic dynamics games, where the agents are coupled by the system's mean field (i.e., the state distribution of the generic agent) through their nonlinear dynamics and their nonlinear cost functions, it can be shown that a best response control action for each agent exists which (i ...
Şen, Nevroz, Caines, Peter E.
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2013
Let us set $$\displaystyle{ a(x) = \frac{1} {2}\sigma {(x)\sigma }^{{\ast}}(x), }$$ (3.1) and introduce the second-order differential operator $$\displaystyle{ A\varphi (x) = -\text{tr }a(x){D}^{2}\varphi (x). }$$ (3.2) We define the dual operator $$\displaystyle{ {A}^{{\ast}}\varphi (x) = -\sum _{ k,l=1}^{n} \frac{{\partial ...
Alain Bensoussan +2 more
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Let us set $$\displaystyle{ a(x) = \frac{1} {2}\sigma {(x)\sigma }^{{\ast}}(x), }$$ (3.1) and introduce the second-order differential operator $$\displaystyle{ A\varphi (x) = -\text{tr }a(x){D}^{2}\varphi (x). }$$ (3.2) We define the dual operator $$\displaystyle{ {A}^{{\ast}}\varphi (x) = -\sum _{ k,l=1}^{n} \frac{{\partial ...
Alain Bensoussan +2 more
openaire +1 more source