A differential oligopoly game under price competition. (English) Zbl 1422.91105
Summary: A dynamic actual demand function was used to portray a market environment for fast moving consumer goods and to establish oligopoly differential games under price competition. We confirmed the stable point in \(n\)-player price competition as the saddle point of differential games, and acquired the optimal price and demand at equilibrium. Analysis on optimal price and demand shows that, to obtain more profits, a manufacturer should control costs, rapidly occupy the market, and improve product uniqueness.
MSC:
| 91A23 | Differential games (aspects of game theory) |
| 91A06 | \(n\)-person games, \(n>2\) |
| 91B54 | Special types of economic markets (including Cournot, Bertrand) |
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