This paper identifies a class of state-redundant games whose open-loop solution is a degenerate feedback one. The structure of the game features an instantaneous payoff which is at least cubic, and state equations linear in states and controls. The model can be used to illustrate games in the field of industrial organization and management, involving advertising campaigns under product differentiation and either quantity or price competition.
On a class of state-redundant differential games / Lambertini, Luca; Palestini, Arsen. - In: CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH. - ISSN 1613-9178. - 33:(2025), pp. 375-389. [10.1007/s10100-025-00965-0]
On a class of state-redundant differential games
Arsen PalestiniSecondo
Membro del Collaboration Group
2025
Abstract
This paper identifies a class of state-redundant games whose open-loop solution is a degenerate feedback one. The structure of the game features an instantaneous payoff which is at least cubic, and state equations linear in states and controls. The model can be used to illustrate games in the field of industrial organization and management, involving advertising campaigns under product differentiation and either quantity or price competition.| File | Dimensione | Formato | |
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