Cooperative mean-field type games

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 19, Issue , 2014, Pages 8995-9000

  Cissé, Abdoul Karim ^a   Tembine, Hamidou ^b  

^a ISG Paris GrIIsG and ESCP Europe   (France)

^b KING ABDULLAH UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Saudi Arabia)

Author keywords

Cooperation; Mean field type; Stochastic maximum principle; Subgame perfection

Indexed keywords

AUTOMATION; MAXIMUM PRINCIPLE;

COOPERATION; FAIRNESS PROPERTIES; MEAN FIELD; PROBABILITY MEASURES; SOLUTION CONCEPTS; STOCHASTIC MAXIMUM PRINCIPLES; SUBGAME PERFECTION; SUBGAME PERFECTNESS;

STOCHASTIC SYSTEMS;

EID: 84929744539     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20140824-6-za-1003.01870     Document Type: Conference Paper

References (8)

1. Andersson, D. and Djehiche, B. (2010). A maximum principle for relaxed stochastic control of linear sde's with application to bond portfolio optimization. Math. Methods in Operations Research, 72(2), 273-310.
2. Bensoussan, A., Sung, K.C.J., Yam, S.C.P., and Yung, S.P. (2011). Linear-quadratic mean field games.
3. Buckdahn, R., Djehiche, B., and Li, J. (2011). A general stochastic maximum principle for sdes of mean-field type. Applied Math. and Optimization, 64(2), 197-216.
4. Buckdahn, R., Li, J., and Peng, S. (2009). Mean-field backward stochastic differential equations and related partial differential equations. Stoch. Process. Appl. 119(10), 3133-3154.
5. Kamgarpour, M. and Tembine, H. (2013). A bayesian mean field game approach to supply demand analysis of the smart grid. In Proceedings International Black Sea Conference on Communications and Networking.
6. Petrosjan, L.A. (1977). Stability of the solutions in differential games with several players. russian) vestnik leningrad. univ. no. 19 Mat. Mat. Meh. Astronom. vyp. 4, 4652, 147.
7. Tembine, H. (2012). Distributed strategic learning for wireless engineers. CRC Press, Taylor & Francis, 496 pages, ISBN: 1439876371.
8. Yeung, D.W. and Petrosyan, L.A. (2006). Cooperative stochastic differential games. Springer Series in Operations Research and Financial Engineering, Springer pp. 242.