Title
Cooperation Induction In Two Player Bertand Markets With Linear Demand
Abstract
We present a two player gradient play differential game in a producer market with quadratic payoff as a model of behavior in a competitive environment and show that the Nash equilibrium is not efficient. An algorithm is then presented which uses side payments to induce cooperation between firms, and rules for side payment strategies are shown. The stability of the new system at a reasonable equilibrium is proved, and it is shown that all participants are at least as well off as they would be at the non-cooperative equilibrium. Numerical examples show the existence of a reasonable equilibrium and that the basin of attraction of that equilibrium appears to cover all reasonable initial conditions.
Year
Venue
Keywords
2017
2017 AMERICAN CONTROL CONFERENCE (ACC)
cooperation, game theory
Field
DocType
ISSN
Sequential equilibrium,Correlated equilibrium,Mathematical economics,Epsilon-equilibrium,Risk dominance,Computer science,Repeated game,Equilibrium selection,Symmetric equilibrium,Nash equilibrium
Conference
0743-1619
Citations 
PageRank 
References 
0
0.34
2
Authors
2
Name
Order
Citations
PageRank
Winston Hurst100.34
Sean Warnick219825.76