Looking Forward Approach in Cooperative Differential Games with Uncertain Stochastic Dynamics

Petrosian, Ovanes; Barabanov, Andrey E.

doi:10.1007/s10957-016-1009-8

Cited by 24 publications

(14 citation statements)

References 11 publications

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“…In the framework of the dynamic updating, the following papers were published [16], [17], [18], [19], [20], [25]. Their authors set the foundations for further study of a class of games with dynamic updating.…”

Section: Zeyang Wang and Ovanes Petrosianmentioning

confidence: 99%

On class of non-transferable utility cooperative differential games with continuous updating

Wang¹,

Petrosian²

2020

Journal of Dynamics &Amp; Games

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This paper considers and describes the class of cooperative differential games with the non-transferable utility and continuous updating. It is the first detailed paper about the application of continuous updating approach to the non-transferable utility differential games. The process of how to construct Pareto optimal strategy with continuous updating and Pareto trajectory is described. Another important contribution is that the property of subgame consistency is adopted for the class of games with continuous updating. The resource extraction game model is used as an example. The Pareto optimal strategies and corresponding trajectory are constructed, and the set of Pareto optimal strategies satisfying the subgame consistency property is presented. The results of numerical simulation are demonstrated in the Matlab environment, and the conclusion is drawn.

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Section: Zeyang Wang and Ovanes Petrosianmentioning

confidence: 99%

On class of non-transferable utility cooperative differential games with continuous updating

Wang¹,

Petrosian²

2020

Journal of Dynamics &Amp; Games

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“…The concept of the looking forward approach was introduced in [13] for differential games, where a new class of games was presented and the foundation for further study of games with dynamic updating or a moving information horizon was laid. To get more information about the approach, one may consider the following papers [13][14][15][16][17][18][19][20]. In the paper [13], the looking forward approach was applied to the cooperative differential game with a finite horizon.…”

Section: Introductionmentioning

confidence: 99%

“…In the paper [13], the looking forward approach was applied to the cooperative differential game with a finite horizon. The paper [17] was focused on studying the looking forward approach with stochastic forecast and dynamic adaptation. In the paper [15], the looking forward approach was applied to a cooperative differential game of pollution control.…”

Section: Introductionmentioning

confidence: 99%

Moving Information Horizon Approach for Dynamic Game Models

et al. 2019

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In the paper, a new class of dynamic game models with a moving information horizon or dynamic updating is studied. In this class of games, players do not have full information about the game structure (motion equations, payoff functions) on the interval on which the game is defined. It is supposed that the players at each stage of the dynamic game have only truncated information about the game structure defined by the information horizon. Cooperative and noncooperative settings are considered in the paper. Results are illustrated using the oligopoly advertising game model, and comparison between the solution in the initial game model and in the game model with moving information horizon is presented. Simulation results are presented.

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“…LFA is used for constructing game theoretical models and defining solutions for conflict controlled processes where information about the process updates dynamically. In works [7][8][9][10][11][12][13][14] are published most recent results on this topic. Existing dynamic games often rely on the assumption of time invariant game structures for derivation of equilibrium solutions.…”

mentioning

confidence: 99%

“…In this paper we focus on allocation problem of the joint payoff among the players (see (13)). Resulting imputation with LFA differs from the imputations in the initial game, which is a result of difference of resulting characteristic function and characteristic function in the initial game.…”

mentioning

confidence: 99%

Looking Forward Approach for dynamic cooperative advertising game model

Shi¹,

Petrosian²,

Boiko³

2019

Vestnik SPbSU. Applied Mathematics. Computer Science. Control P

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In this paper, we examine a dynamic cooperative advertising game model, where each firm market share depends on its own and its competitors' advertising decisions. More and more companies are willing to cooperate on the market in order to increase their market share and their joint profit as a result. They cooperate on advertising acting as one company and according to a characteristic function introduced in this work, their joint profit can be reallocated according to some cooperative solution. Looking Forward Approach is applied to the initial game in order to construct a model, where information about the process updates dynamically. Comparison between the solution of initial game model and game model with dynamic updating is illustrated using the numerical simulation.

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Looking Forward Approach in Cooperative Differential Games with Uncertain Stochastic Dynamics

Cited by 24 publications

References 11 publications

On class of non-transferable utility cooperative differential games with continuous updating

On class of non-transferable utility cooperative differential games with continuous updating

Moving Information Horizon Approach for Dynamic Game Models

Looking Forward Approach for dynamic cooperative advertising game model

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