International Journal of Game Theory

, Volume 7, Issue 3–4, pp 137–150 | Cite as

Price oligopoly as a cooperative game

  • M. Kaneko


We consider an oligopolistic market as follows. In the market, one good is traded for money. Each oligopolist is a price setter and has the same linear cost function. Each buyer is a price taker and buys the good from oligopolists setting the lowest price. We formulate this market as a cooperative game, and consider two kinds of solution concepts, the core and a bargaining set of the game. First we show that in the monopolistic market, the core gives the monopoly price, but in the oligopolistic market, the core is empty. Second, we obtain the bargaining set of the oligopolistic market.


Cost Function Economic Theory Game Theory Lower Price Cooperative Game 
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Copyright information

© Physica-Verlag 1978

Authors and Affiliations

  • M. Kaneko
    • 1
  1. 1.Institute of Socio-Economic PlanningUniversity of TsukubaIbaraki-kenJapan

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