TY - JOUR
T1 - Berge equilibrium in linear-quadratic mean-field-type games
AU - Toumi, Noureddine
AU - Barreiro-Gomez, Julian
AU - Duncan, Tyrone E.
AU - Tembine, Hamidou
N1 - Publisher Copyright:
© 2020 The Franklin Institute
PY - 2020/10
Y1 - 2020/10
N2 - In this paper, we study Berge equilibria in linear-quadratic mean-field-type game problems under a jump-diffusion-regime switching state dynamics that incorporate mean-field terms in both the states and cost functional. In the cost functional, we consider conditional variance of the states and control actions, conditional mean of states and control actions, and conditional covariance terms. The underlying Berge problem is solved in a semi-explicit way by using the direct method and an illustrative numerical example is presented.
AB - In this paper, we study Berge equilibria in linear-quadratic mean-field-type game problems under a jump-diffusion-regime switching state dynamics that incorporate mean-field terms in both the states and cost functional. In the cost functional, we consider conditional variance of the states and control actions, conditional mean of states and control actions, and conditional covariance terms. The underlying Berge problem is solved in a semi-explicit way by using the direct method and an illustrative numerical example is presented.
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U2 - 10.1016/j.jfranklin.2020.08.019
DO - 10.1016/j.jfranklin.2020.08.019
M3 - Article
AN - SCOPUS:85090301501
SN - 0016-0032
VL - 357
SP - 10861
EP - 10885
JO - Journal of the Franklin Institute
JF - Journal of the Franklin Institute
IS - 15
ER -