We use quantifiers and selection functions to represent simultaneous move games. Quantifiers and selection functions are examples of higher-order functions. A higher order function is a function whose domain is itself a set of functions. Thus, quantifiers and selection func- tions allow players...

We use quantifiers and selection functions to generalize the classical economic approach to choice. Our framework encompasses preference and utility based approaches as special cases, but also extends to non-maximizing behavior and context-dependent motives such as social concerns. We adapt the...

We present a novel coalgebraic formulation of infinite extensive games. We define both the game trees and the strategy profiles by possibly infinite systems of corecursive equations. Certain strategy profiles are proved to be subgame perfect equilibria using a novel proof principle of predicate...

A welfare analysis of a risky policy is impossible within a linear or linearized model and its certainty equivalence property. The presented algorithms are designed as a toolbox for a general model class. The computational challenges are considerable and I concentrate on the numerics and...

This paper presents an attempt to solve and estimate a structural dynamic non-linear rational expectation model. The main contribution of this paper is to explore the Smolyak operator for numerical approximation and integration in a generic model class which do not suffer exponentially but only...

We provide a computational economics seminar at the University of Mannheim since two years. An introduction to numerics is given in around six sessions where we present the first six technical chapters of Miranda/Fackler: Applied Computational Economics and Finance (linear and nonlinear systems,...

The calculation of likelihood functions of many econometric models requires the evaluation of integrals without analytical solutions. Approaches for extending Gaussian quadrature to multiple dimensions discussed in the literature are either very specific or suffer from exponentially rising...

We present a comprehensive framework for Bayesian estimation of structural nonlinear dynamic economic models on sparse grids to overcome the curse of dimensionality for approximations. We apply sparse grids to a global polynomial approximation of the model solution, to the quadrature of...