5 papers
Monotone Mixing and Distribution Dynamics
Takashi Kamihigashi, Qingyin Ma, John Stachurski
Many economic applications establish stability of Markov dynamics using the monotone mixing condition (MMC) of Hopenhayn and Prescott (1992). Working in the same setting as that pa…
Stationary Distributions in Monotone Markov Models: Theory and Applications
Takashi Kamihigashi, John Stachurski
Many economic models feature monotone Markov dynamics on state spaces that may be noncompact. Establishing existence, uniqueness, and stability of stationary distributions in such…
A Unified Stability Theory for Classical and Monotone Markov Chains
Takashi Kamihigashi, John Stachurski
This paper integrates two strands of the literature on stability of general state Markov chains: conventional, total variation based results and more recent order-theoretic results…
Partial Stochastic Dominance via Optimal Transport
Takashi Kamihigashi, John Stachurski
In recent years, a range of measures of partial stochastic dominance have been introduced. These measures attempt to determine the extent to which one distribution is dominated by…
Quantitative Convergence Rates for Stochastically Monotone Markov Chains
Takashi Kamihigashi, John Stachurski
For Markov chains and Markov processes exhibiting a form of stochastic monotonicity (larger states shift up transition probabilities in terms of stochastic dominance), stability an…