Absolutely cooperative solution for a linear, multiplayer differential game

We formulate an overlapping generations model on optimal emissions with continuous age structure. We compare the noncooperative solution to the cooperative one and obtain fundamental differences in the optimal strategies. Also including an altruistic motive does not avoid the problem of the myopic noncooperative solution. Finally we define a time-consistent tax scheme to obtain the cooperative solution in the noncooperative case.

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Stable Marketing Cooperation in a Differential Game for an Oligopoly

International Game Theory Review ◽

10.1142/s0219198917500281 ◽

2018 ◽

Vol 20 (03) ◽

pp. 1750028 ◽

Cited By ~ 4

Author(s):

Mario A. García-Meza ◽

Ekaterina Viktorovna Gromova ◽

José Daniel López-Barrientos

Keyword(s):

Finite Number ◽

Dynamic Model ◽

Differential Game ◽

Cooperative Solution ◽

Terminal Time ◽

Marketing Cooperation ◽

Number Of Firms

In this paper, we develop a dynamic model of an oligopoly playing an advertising game of goodwill accumulation with random terminal time. The goal is to find a cooperative solution that is time-consistent, considering a dynamic accumulation of goodwill with depreciation for a finite number of firms.

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Limit policies in N-sector dynamic growth games with externalities

Journal of Applied Mathematics and Decision Sciences ◽

10.1155/s1173912697000084 ◽

1997 ◽

Vol 1 (2) ◽

pp. 81-87

Author(s):

Ronald D. Fischer ◽

Leonard J. Mirman

Keyword(s):

Differential Game ◽

Optimal Policy ◽

Cooperative Solution ◽

Dynamic Growth ◽

Games With Externalities

We examine an economy with n production sectors that interact via a production externality. We find a solution to the resulting dynamic differential game between sectors and compare it to the cooperative solution. As the number of sectors increases, the limiting policy is the optimal policy without a production externality. This policy is inefficient and, depending on the sign of the externality between sectors, the inefficiency is due to over- (or under-) consumption.

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Time-Consistency of an Imputation in a Cooperative Hybrid Differential Game

Mathematics ◽

10.3390/math9151830 ◽

2021 ◽

Vol 9 (15) ◽

pp. 1830

Author(s):

Ekaterina Gromova ◽

Anastasiia Zaremba ◽

Shimai Su

Keyword(s):

Differential Game ◽

Cumulative Distribution Function ◽

Time Consistency ◽

Analytical Form ◽

Payoff Function ◽

Time Inconsistency ◽

Cumulative Distribution ◽

Cooperative Solution ◽

Problem Of Time ◽

Imputation Distribution Procedure

This work is aimed at studying the problem of maintaining the sustainability of a cooperative solution in an n-person hybrid differential game. Specifically, we consider a differential game whose payoff function is discounted with a discounting function that changes its structure with time. We solve the problem of time-inconsistency of the cooperative solution using a so-called imputation distribution procedure, which was adjusted for this general class of differential games. The obtained results are illustrated with a specific example of a differential game with random duration and a hybrid cumulative distribution function (CDF). We completely solved the presented example to demonstrate the application of the developed scheme in detail. All results were obtained in analytical form and illustrated by numerical simulations.

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