New Analyses of Duopoly Game with Output Lower Limiters
نویسندگان
چکیده
and Applied Analysis 3 The Nash equilibrium E is located at the intersection of the two reaction curves which represent the locus of points of vanishingmarginal profits in (5). In the following, we assume that (10) is satisfied, so the Nash equilibrium E exists. The study of the local stability of equilibrium points is based on the eigenvalues of the Jacobian matrix of the (6): J = [ 1 + 11 1 (1 − r) 1 −α 2 b (1 − r) 2 1 + α 2 A 2 ] , (11)
منابع مشابه
A game theory approach to the sawnwood and pulpwood markets in the north of Iran
Duopoly game theory is applied to the wood industrial markets (sawnwood and pulpwood markets) in the North of Iran. The Nash equilibrium and the dynamic properties of the system based on marginal adjustments are determined. The probability that the Nash equilibrium will be reached is almost zero. The dynamical properties of sawnwood and pulpwood prices derived via the duopoly game model are fou...
متن کاملComplexity Analysis of a Cournot-Bertrand Duopoly Game Model with Limited Information
A Cournot-Bertrand mixed duopoly game model with limited information about the market and opponent is considered, where the market has linear demand and two firms have the same fixed marginal cost. The principles of decision-making are bounded rational. One firm chooses output and the other chooses price as decision variable, with the assumption that there is a certain degree of differentiation...
متن کاملDynamics analysis and chaos control of a duopoly game with heterogeneous players and output limiter
Article history: Accepted 22 April 2013 JEL classification: C62 C68 D43 D21 L13 L25
متن کاملMeasuring the efficiency of Iranian electricity distribution companies, a combined approach to bargaining game with DEA
Many models have been proposed for measuring performance of business agencies up to now. The goal of this research is providing a new approach for evaluation and measurement of efficiencies of national power distribution companies. This approach is provided as a combination of Data Envelopment Analysis (DEA) and Game Theory for evaluation of decision-making units by a large scale of actions. I...
متن کاملFollower payoffs in symmetric duopoly games
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...
متن کامل