Working Papers

• "We Can Cooperate Even When the Monitoring Structure Will Never Be Known" (2017). 

• "Convergence and Steady-State Analysis under Higher-Order Misspecification" (2023), with Takeshi Murooka, 

• "Bayesian Learning when Players Are Misspecified about Others" (2026), with  Takeshi Murooka, revise and resubmit, Journal of Political Economy.

• "Nonconvergence to Unstable Steady State and Its Applications" (2026). 

Published Papers

• “Asymptotic Behavior of Bayesian Learners with Misspecified Models" (2021), with Ignacio Esponda and Demian Pouzo, Journal of Economic Theory, volume 195, 105260.   Here is an erratum. 

• “Common Learning and Cooperation in Repeated Games" (2020), with Takuo Sugaya, Theoretical Economics, volume 15, issue 3, pp. 1175-1219. Additional results are available in the PIER working paper version.

• "Stochastic Games with Hidden States" (2019), Theoretical Economics, volume 14, issue 3, pp. 1115–1167. Additional results are available in the PIER working paper version. 

• “Individual Learning and Cooperation in Noisy Repeated Games” (2014), Review of Economic Studies, volume 81, issue 1, pp. 473-500. Additional results are available in the PIER working paper version. 

• “Characterizing Belief-Free Review Strategy Equilibrium Payoffs under Conditional Independence” (2012), Journal of Economic Theory, volume 147, issue 5, pp. 1998-2027.

• “Learning from Private Information in Noisy Repeated Games” (2011), with Drew Fudenberg, Journal of Economic Theory, volume 146, issue 5, pp. 1733-1769.  

• “The Folk Theorem for Irreducible Stochastic Games with Imperfect Public Monitoring” (2011), with Drew Fudenberg, Journal of Economic Theory, volume 146, issue 4, pp. 1664-1683.

• “Repeated Games where the Payoffs and Monitoring Structure are Unknown” (2010), with Drew Fudenberg, Econometrica, volume 78, issue 5, pp. 1673-1710.  

• “The Use of Public Randomization in Discounted Repeated Games” (2010), International Journal of Game Theory, volume 39, issue 3, pp. 431-443.

• “A Limit Characterization of Belief-Free Equilibrium Payoffs in Repeated Games” (2009), Journal of Economic Theory, volume 144, issue 2, pp. 802-824.

• “Efficiency Results in N Player Games with Imperfect Private Monitoring” (2007), Journal of Economic Theory, volume 138, issue 1, pp. 382-413.

Books/Book Chapters

• Beizu Gakushu To Baiasu [Bayesian Learning and Model Misspecification] (in Japanese), 2021, Mitsubishi Keizai Kenkyujo, Tokyo.