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Varying Domain Representations in Hall Extending the Expressiveness of a DSL for Experimental Game Theory Eric Walkingshaw and Martin Erwin School of Electrical Engineering and Computer Science, Oregon
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The lack of a formal specification of the domain or domain-relations structure of game theoretic models is likely to cause a lack of clarity for users of experimental game theory models, which is of concern for users of game theoretic models who have their work directly related to policy, such as policymakers and economists. In this paper, we introduce a domain-extension system, hall_extending, for building experimental game-theoretic models incorporating domain representations or domain-representation specifications, and extend it widely across four domains: economic models, international economics, real-time analysis (including network modeling), and machine learning. Our goal is to provide a formal formalism through which to build a large class of domain-extensions for experimental game-theoretic models, which we refer to as hall_extending. In this paper, the field of Experimental Game Theory is discussed in an open-access journal format, and it is stated that experimental models that have been developed using game-theoretic methods often have implications for policymaking, and some have been employed to help inform policymakers. The field of Game Theory as Applied to Economics is discussed in terms of its application to experimental economics that has been used to inform policymakers. This includes research on the welfare effects of policy. The importance of game theory and simulation for both policy work and the development of quantitative techniques for economic models has also been discussed in the context of the use of experimental game-theoretic approaches as a key part of machine learning. The field of Experimental Game Theory and Machine Learning is also discussed in terms of the development of experimental methods for estimating uncertainty in economic models. Introduction : The goal of this review is to consider the current state of experimental game theory in the literature and offer a brief history, present state, and future directions of the field. The focus is on computational game theory, a special type of game theory that has been developed specifically for applying to a computational framework and is based on the assumption of computational efficiency for the use of knowledge. This paper uses the acronym EGT to refer to the four subtheories used in game-theoretic models and game-statistics. EGT includes a formalism and a class of models for specifying discrete decision rules and decision-outcomes that include a domain-representation (E-R). The domain representation describes the space of possible policy responses to particular decision issues in a particular context.

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