supported by the National Natural Science Foundation of China under Grant Nos.61903234 and 61973198;the Natural Science Foundation of Shandong Province under Grant No.ZR2021MA066。
This paper designs an incentive Stackelberg strategy for the discrete-time stochastic systems with mean-field terms.Sufficient conditions for the existence of such a design are suggested.Moreover,the incentive strateg...
supported by the National Natural Science Foundation of China under Grant No.62073202;the Young Experts of Taishan Scholar Project under Grant No.tsqn201909076。
This paper investigates the basis and pure Nash equilibrium of finite pure harmonic games(FPHGs) based on the vector space structure. First, a new criterion is proposed for the construction of pure harmonic subspace, ...
the Air Force Office of Scientific Research(AFOSR)under Grant No.FA9550-19-1-0353;the Army Research Office MURI under Grant No.AG285。
This is an overview paper on the relationship between risk-averse designs based on exponential loss functions with or without an additional unknown(adversarial)term and some classes of stochastic games.In particular,t...
the National Natural Science Foundation of China(NSFC)under Grant Nos.62073315,61074114,and 61273013。
Nowadays the semi-tensor product(STP)approach to finite games has become a promising new direction.This paper provides a comprehensive survey on this prosperous field.After a brief introduction for STP and finite(netw...
Natural Sciences and Engineering Research Council(NSERC)of Canada。
This paper studies an asymptotic solvability problem for linear quadratic(LQ)mean field games with controlled diffusions and indefinite weights for the state and control in the costs.The authors employ a rescaling app...
supported by the National Natural Science Foundation of China under Grant Nos. 72071159,71671140 and 71601156。
Meca,et al.(2004)studied a class of inventory games which arise when a group of retailers who observe demand for a common good decide to cooperate and make joint orders.In this paper,the authors extend their model to ...
supported by the Shandong Province“Double-Hundred Talent Plan”under Grant No.WST2017009;the Visiting Fellowship Program of the Chinese Academy of Sciences for Outstanding Young Scientists;the National Natural Science Foundation of China under Grant No.71872171
Time consistency is an important property of any solution to a cooperative dynamic game.If the solution satisfies this property,players do not need to revise it and break a cooperative agreement.Strong time consistenc...
supported by the National Natural Science Foundation of China under Grant No.61374065;the Research Fund for the Taishan Scholar Project of Shandong Province
Using the semi-tensor product of matrices, this paper investigates the computation of purestrategy Nash equilibrium (PNE) for fashion games, and presents several new results. First, a formal fashion game model on a ...
supported by the National Natural Science Foundation of China under Grant Nos.71201089,71201110,71271217,and 71271029;the Natural Science Foundation Youth Project of Shandong Province,China under Grant No.ZR2012GQ005;the Specialized Research Fund for the Doctoral Program of Higher Education under Grant No.20111101110036;the Program for New Century Excellent Talents in University of China under Grant No.NCET-12-0541
With respect to multichoice games with a coalition structure,a coalitional value named the generalized symmetric coalitional Banzhaf value is defined,which is an extension of the Shapley value for multichoice games an...
Pitch size varies in official soccer matches and differently sized pitches are adopted for tactical purposes in small-sided training games. Since interactive team behaviour emerges under constraints, the authors evalu...