Bayesian Learning and Convergence to Nash Equilibria without Common Priors

Nyarko, Y. (1998). Bayesian Learning and Convergence to Nash Equilibria without Common Priors. Economic Theory, 11(3), 643-655.

Consider an infinitely repeated game where each player is characterized by a ‘type’ which may be unknown to the other plays in the game. Suppose further that each player’s belief about others is independent of that player’s type…

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Convergence in Economic Models with Bayesian Hierarchies of Beliefs

Nyarko, Y. (1997). Convergence in Economic Models with Bayesian Hierarchies of Beliefs. Journal of Economic Theory, 74(2), 266-296.

I study a model where hierarchies of beliefs (the beliefs about the beliefs of other agents, etc.) are important. I provide conditions under which optimal actions of agents will converge to the Nash equilibrium of the model characterized by the true, previously unknown ``fundamentals.''

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Savage-Bayesian Models of Economics

Kiefer, N., & Nyarko, Y. “Savage-Bayesian Models of Economics.” Essays in learning and rationality in economics and games, Basil Blackwell, 40-62, 1995.

The “state of the art” in learning models in economics is highly unsettled. On the one hand, we have the optimizing models in which learning occurs as a byproduct…

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Bounded Rationality and Learning

Nyarko, Y., Woodford, M., & Yannelis, N. C. (1994). Bounded Rationality and Learning. Economic Theory, 4(6), 811-820.

Many have objected to the use of the Nash equilibrium (or more generally, Bayesian Nash equilibrium) concept in game theory, and similarly to the use of the rational expectations concept in the theory of competitive markets…

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On the Convergence of Bayesian Posterior Processes in Linear Economic Models: Counting Equations and Unknowns

Nyarko, Y. (1991). On the Convergence of Bayesian Posterior Processes in Linear Economic Models, Counting Equations and Unknowns. Journal of Economic Dynamics and Control, 15(4), 687-713.

I propose a technique, counting ‘equations’ and ‘unknowns’, for determining when the posterior distributions of the parameters of a linear regression process converge to their true values.

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Learning in Mis-Specified Models and the Possibility of Cycles

Nyarko, Y. (1991). Learning in Mis-Specified Models and the Possibility of Cycles. Journal of Economic Theory, 55(2), 416-427.

I study the problem of a monopolist maximizing a sum of discounted profits facing a linear demand curve whose slope and intercept are unknown. I show that if the monopolist has a mis-specified model…

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Optimal Bayesian Control of a Nonlinear Regression Process with Unknown Parameters

Kiefer, N., & Nyarko, Y. “Optimal Bayesian Control of a Nonlinear Regression Process with Unknown Parameters.” Modeling and Control of Systems, Lecture Notes in Control and Information Sciences, edited by Austin Blaquiére, Springer, Berlin, Heidelberg, 355-362, 1989.

Economic Agents operating in uncertain, stochastic environments can face a tradeoff between current period expected reward and accumulation of information of uncertain value.

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Optimal Control of an Unknown Linear Process with Learning

Kiefer, N., & Nyarko, Y. (1989). Optimal Control of an Unknown Linear Process with Learning. International Economic Review, 30(3), 571-586.

Optimal control of a linear process with unknown parameters is considered when the horizon is infinite and rewards are discounted. Active learning strategies are considered…

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Control of a Linear Regression Process with Unknown Parameters

Kiefer, N., & Nyarko, Y. “Control of a Linear Regression Process with Unknown Parameters.” Dynamic Econometric Modelling, edited by Barnett et al., Cambridge University Press, 105-120, 1988.

Applications of forms of control theory to economic policy making have been studied by Theil (1958), Chow (1975, 1981), and Prescott (1972). Many of the applications are approximations to the optimal policy…

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