By a game in coalitional structure or shortly coalitional game we mean the standard cooperative non-transferable utility game described by a nonempty set of payo®s for each coalition of players. It is well-known that balancedness is a su±cient condition for the nonemptiness of the core of such a cooperative non-transferable utility game. But any information on the internal organization of the c...

This study considers a duopoly market in which two competitors operate their own service-inventory systems. Both determine prices to maximize profit while considering the inventory holding cost, ordering and cost incurred by lost sales. Customers are price sensitive, customer attractiveness is expressed arrival rates. We use game theory approach formulate analyze three types of pricing games: (...

The Cournot duopoly game modeled by Kopel, with adaptive expectations, is generalized by introducing the self-diffusion and cross-diffusion terms. General properties, such as boundedness and uniqueness, are obtained. Non-linear stability results are reached by the analysis of the stability of a ODE system. & 2013 Elsevier Ltd. All rights reserved.

This paper compares the leader and follower payoffs in a duopoly game, as they arise in sequential play, with the Nash payoffs in simultaneous play. If the game is symmetric, has a unique symmetric Nash equilibrium, and players’ payoffs are monotonic in the opponent’s choice along their own best reply function, then the follower payoff is either higher than the leader payoff, or lower than even...

The paper focuses on the dynamic pricing game of the duopoly air conditioner market with disturbance in demand and analyzes the influence of disturbance on the dynamic game system. Considering the demand for products, such as air conditioner, varies with different seasons, we assume three cases based on the condition of disturbance, including growth market (Case 1), decliningmarket (Case 2) and...