The extension of the Leitmann-Schmitendorf advertising game to n players and positive time discounting is investigated. We show that the strong time consistency of the open-loop Nash equilibrium is preserved. As to optimal controls, while the boundary solution is unaffected by the number of firms as well as discounting, the inner solution depends on industry structure. The fully symmetric version of the game allows us to identify the parameter regions wherein both solutions are sustainable. (C) 2010 Elsevier Inc. All rights reserved.

The Leitmann-Schmitendorf advertising game with n players and time discounting / Davide, Dragone; Luca, Lambertini; Palestini, Arsen. - In: APPLIED MATHEMATICS AND COMPUTATION. - ISSN 0096-3003. - 217:3(2010), pp. 1010-1016. [10.1016/j.amc.2010.02.031]

The Leitmann-Schmitendorf advertising game with n players and time discounting

PALESTINI, Arsen
2010

Abstract

The extension of the Leitmann-Schmitendorf advertising game to n players and positive time discounting is investigated. We show that the strong time consistency of the open-loop Nash equilibrium is preserved. As to optimal controls, while the boundary solution is unaffected by the number of firms as well as discounting, the inner solution depends on industry structure. The fully symmetric version of the game allows us to identify the parameter regions wherein both solutions are sustainable. (C) 2010 Elsevier Inc. All rights reserved.
2010
open-loop control; advertising; differential games
01 Pubblicazione su rivista::01a Articolo in rivista
The Leitmann-Schmitendorf advertising game with n players and time discounting / Davide, Dragone; Luca, Lambertini; Palestini, Arsen. - In: APPLIED MATHEMATICS AND COMPUTATION. - ISSN 0096-3003. - 217:3(2010), pp. 1010-1016. [10.1016/j.amc.2010.02.031]
File allegati a questo prodotto
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/138187
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 6
  • ???jsp.display-item.citation.isi??? 5
social impact