Strategy-Specific Barriers to Learning and Nonmonotonic Selection Dynamics
推广了复制者动力学,引入策略特定的学习障碍,导致新动力学不满足收益单调性但满足弱收益正性。初始状态在复制者动力学下收敛到不动点,在新动力学下可能趋近稳定极限环,且被严格占优的策略可能沿非收敛路径无限存活。
The replicator dynamics are generalized to allow for strategy-specific barriers to learning. The resulting dynamics satisfy neither payoff monotonicity nor payoff positivity, but do satisfy weak payoff positivity. It is shown that initial states from which trajectories converge to a rest point under the replicator dynamics may yield trajectories which approach a stable limit cycle under the generalized replicator dynamics. Furthermore, strategies which are strictly dominated by other pure strategies may survive indefinitely along such nonconvergent paths.Journal of Economic LiteratureClassification Numbers: C73.