The Core of Cooperative Differential Games on Networks

Owen Value for Dynamic Games on Networks

“…In this section, we use the special type of characteristic function which, at the first time, was introduced in paper (Petrosyan, 2010) and after used in (Petrosyan et al, 2021a;Tur and Petrosyan, 2022).…”

“…For example, Core, the Shapley value (Shapley, 1953), τ -value (Tijs, 1987), etc. These solutions of cooperative dynamic games were investigated in papers (Tur and Petrosyan, 2022;Petrosyan et al, 2021a). All these solutions are based on distribution of the worth of the grand coalition.…”

“…We have to mention the first researches in the field of dynamic games (Cao et al, 2008;Wie, 1995;Pai, 2010;Zhang et al, 2018;Meza, and Lopez-Barrientos, 2016;Bulgakova and Petrosyan, 2019). An obvious continuation of research in the field of dynamic games is to expand them to the class of cooperative dynamic games on networks (the following papers should be noted (Petrosyan, 2010;Gao and Pankratova, 2017), and the paper of (Yeung and Petrosyan, 2016;Petrosyan and Yeung, 2020;Tur and Petrosyan, 2022) where the new characteristic function in differential cooperative network game was introduced in a special case when the payoffs of players depend only upon their actions and actions of neighbors in the network). Different properties of the cooperative solutions of dynamic network games are investigated in (Yeung, 2010;Yeung and Petrosyan, 2004;Yeung and Petrosyan, 2018).…”