Geodesic
Hierarchical games with additive payoff functions combining public and private interests
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 13 (2021) no. 4, pp. 3-17

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The paper proposes a game-theoretic model with linear-quadratic payoff functions, which are additive convolutions of two criteria describing public and personal interests. This game has good properties, in particular, the independence of the leader's strategy in the Stackelberg equilibrium from the parameters of the follower's function. This property means that the leader does not need information about the follower's objective function, which in reality is difficult to obtain, and his strategy has the property of robustness.
Keywords: hierarchical game, Stackelberg equilibrium, Nash equilibrium, public goods, linear-quadratic payoff function. 
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     author = {Victor A. Gorelik and Tatiana V. Zolotova},
     title = {Hierarchical games with additive payoff functions combining public and private interests},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {3--17},
     publisher = {mathdoc},
     volume = {13},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2021_13_4_a0/}
}
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Victor A. Gorelik; Tatiana V. Zolotova. Hierarchical games with additive payoff functions combining public and private interests. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 13 (2021) no. 4, pp. 3-17. http://geodesic.mathdoc.fr/item/MGTA_2021_13_4_a0/