The Evolution of Consistent Conjectures
AbstractIn this paper we model the evolution of conjectures in an economy consisting of a large number of firms which meet in duopolies. The duopoly game is modelled by the conjectural variation (CV) model. An evolutionary process leads to more profitable conjectures becoming more common (payoff monotone dynamics). Under payoff monotonic dynamics, convergence occurs to a small set of serially undominated strategies containing the consistent onjecture. This set can be made arbitrarily small by appropriate choice f the strategy set. If the game is dominance solvable, then the dynamics converges globally to the unique attractor.
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