Towards Optimal Control of Evolutionary Games on Networks

IEEE Transactions on Automatic Control

Volumn 62, Issue 1, 2017, Pages 458-462

  Riehl, James R ^a   Cao, Ming ^a  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

Evolutionary games; multi Agent network control

Indexed keywords

APPROXIMATION ALGORITHMS; MULTI AGENT SYSTEMS; STARS; TREES (MATHEMATICS);

ARBITRARY NETWORKS; EVOLUTIONARY GAMES; FAST ALGORITHMS; GENERAL SOLUTIONS; MINIMUM SPANNING TREES; MULTIAGENT NETWORKS; OPTIMAL CONTROLS; PROPAGATION ALGORITHM;

EVOLUTIONARY ALGORITHMS;

EID: 85009904397     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2016.2558290     Document Type: Article

References (18)

1. R. B. Myerson, Game Theory. Cambridge, MA, USA: Harvard Univ. Press, 2013.
2. G. Szabò and G. Fàth, "Evolutionary games on graphs, " Phys. Rep., vol. 446, no. 4, pp. 97-9216, 2007.
3. W. H. Sandholm, Population Games and Evolutionary Dynamics. Cambridge, MA, USA: MIT Press, 2010.
4. C. E. Tarnita, T. Antal, H. Ohtsuki, and M. A. Nowak, "Evolutionary dynamics in set structured populations, " Nat. Acad. Sci., vol. 106, no. 21, pp. 8601-8604, 2009.
5. R. J. Smith, J. T. Okano, J. S. Kahn, E. N. Bodine, and S. Blower, "Evolutionary dynamics of complex networks of hiv drug-resistant strains: The case of San Francisco, " Science, vol. 327, no. 5966, pp. 697-701, 2010.
6. W. B. Liebrand, H. A. Wilke, R. Vogel, and F. J. Wolters, "Value orientation and conformity a study using three types of social dilemma games, " J. Conflict Resolution, vol. 30, no. 1, pp. 77-97, 1986.
7. E. Ostrom, "Tragedy of the commons, " New Palgrave Dictionary Econ., pp. 3573-3576, 2008.
8. K. H. Schlag, "Why imitate, if so, how?: A boundedly rational approach to multi-Armed bandits, " J. Econ. Theory, vol. 78, no. 1, pp. 130-156, 1998.
9. M. A. Nowak, C. E. Tarnita, and T. Antal, "Evolutionary dynamics in structured populations, " Philosoph. Trans. Royal Soc. B: Biol. Sci., vol. 365, no. 1537, pp. 19-30, 2010.
10. T. Kanazawa, T. Misaka, T. Ushio, and Y. Fukumoto, "A control method of selfish routing based on replicator dynamics with capitation tax and subsidy, " in Proc. IEEE CCA ISIC, 2009, pp. 249-254.
11. W. H. Sandholm, "Evolutionary implementation and congestion pricing, " Rev. Econ. Studies, vol. 69, no. 3, pp. 667-689, 2002.
12. W. H. Sandholm, "Pigouvian pricing and stochastic evolutionary implementation, " J. Econ. Theory, vol. 132, no. 1, pp. 367-382, 2007.
13. A. Khanafer, T. Başar, and B. Gharesifard, "Stability properties of infected networks with low curing rates, " in Proc. IEEE ACC, 2014, pp. 3579-3584.
14. W. Du, H. Zhou, Z. Liu, and X. Cao, "The effect of pinning control on evolutionary prisoners dilemma game, " Modern Phys. Lett. B, vol. 24, no. 25, pp. 2581-2589, 2010.
15. D. Cheng, F. He, H. Qi, and T. Xu, "Modeling, analysis and control of networked evolutionary games, " IEEE Trans. Autom. Control, vol. 60, no. 9, pp. 2402-2415, Sep. 2015.
16. J. Riehl and M. Cao, "Towards control of evolutionary games on networks, " in Proc. 53rd IEEE Conf. Decision Control, 2014, pp. 2877-2882.
17. J. Riehl and M. Cao, "Control of stochastic evolutionary games on networks, " in Proc. 5th IFAC Workshop Distrib. Estim. Control Netw. Syst., 2015, pp. 1-6.
18. J. Riehl and M. Cao, "Minimal-Agent control of evolutionary games on tree networks, " in Proc. 21st Int. Symp. Math. Theory Netw. Syst., 2014, pp. 1-6.