A lanchester-type dynamic game of advertising and pricing

Steffen Jørgensen, Simon Sigué*

*Kontaktforfatter for dette arbejde

Publikation: Bidrag til bog/antologi/rapport/konference-proceedingBidrag til bog/antologiForskning

Resumé

The paper studies a differential game played by two competing firms over a finite time horizon. As the game progresses, the firms observe the position of the game, i.e., the current time and the current market shares. Each firm uses pricing and advertising in order to influence market shares. We suggest a generalization of the Lanchester market share dynamics such that the rates at which firms attract market share from each other are determined not only by their advertising efforts but also by the consumer prices charged in the market. A full characterization of Nash equilibrium price and advertising strategies is obtained.

OriginalsprogEngelsk
TitelGames in management science : essays in honor of Georges Zaccour
RedaktørerPierre-Olivier Pineau, Simon Sigué, Sihem Taboubi
Vol/bind280
Udgivelses stedCham
ForlagSpringer Nature Switzerland AG
Publikationsdatojan. 2020
Sider1-14
ISBN (Trykt)978-3-030-19106-1
ISBN (Elektronisk)978-3-030-19107-8
DOI
StatusUdgivet - jan. 2020
NavnInternational Series in Operations Research and Management Science
Vol/bind280
ISSN0884-8289

Fingeraftryk

Pricing
Dynamic games
Market share
Price strategy
Nash equilibrium
Equilibrium price
Differential games
Time horizon
Consumer prices
Advertising strategy

Citer dette

Jørgensen, S., & Sigué, S. (2020). A lanchester-type dynamic game of advertising and pricing. I P-O. Pineau, S. Sigué, & S. Taboubi (red.), Games in management science: essays in honor of Georges Zaccour (Bind 280, s. 1-14). Cham: Springer Nature Switzerland AG. International Series in Operations Research and Management Science, Bind. 280 https://doi.org/10.1007/978-3-030-19107-8_1
Jørgensen, Steffen ; Sigué, Simon. / A lanchester-type dynamic game of advertising and pricing. Games in management science: essays in honor of Georges Zaccour. red. / Pierre-Olivier Pineau ; Simon Sigué ; Sihem Taboubi. Bind 280 Cham : Springer Nature Switzerland AG, 2020. s. 1-14 (International Series in Operations Research and Management Science, Bind 280).
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Jørgensen, S & Sigué, S 2020, A lanchester-type dynamic game of advertising and pricing. i P-O Pineau, S Sigué & S Taboubi (red), Games in management science: essays in honor of Georges Zaccour. bind 280, Springer Nature Switzerland AG, Cham, International Series in Operations Research and Management Science, bind 280, s. 1-14. https://doi.org/10.1007/978-3-030-19107-8_1

A lanchester-type dynamic game of advertising and pricing. / Jørgensen, Steffen; Sigué, Simon.

Games in management science: essays in honor of Georges Zaccour. red. / Pierre-Olivier Pineau; Simon Sigué; Sihem Taboubi. Bind 280 Cham : Springer Nature Switzerland AG, 2020. s. 1-14 (International Series in Operations Research and Management Science, Bind 280).

Publikation: Bidrag til bog/antologi/rapport/konference-proceedingBidrag til bog/antologiForskning

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Jørgensen S, Sigué S. A lanchester-type dynamic game of advertising and pricing. I Pineau P-O, Sigué S, Taboubi S, red., Games in management science: essays in honor of Georges Zaccour. Bind 280. Cham: Springer Nature Switzerland AG. 2020. s. 1-14. (International Series in Operations Research and Management Science, Bind 280). https://doi.org/10.1007/978-3-030-19107-8_1