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Games 2018, 9(3), 44; https://doi.org/10.3390/g9030044

An Automated Method for Building Cognitive Models for Turn-Based Games from a Strategy Logic

1
Department of Artificial Intelligence, Bernoulli Institute of Mathematics, Computer Science and Artificial Intelligence, University of Groningen, PO Box 407, 9700 AK Groningen, The Netherlands
2
Computer Science Unit, Indian Statistical Institute, 110 Nelson Manickam Road, Chennai 600029, India
*
Author to whom correspondence should be addressed.
Received: 18 May 2018 / Revised: 2 July 2018 / Accepted: 4 July 2018 / Published: 6 July 2018
(This article belongs to the Special Issue Logic and Game Theory)
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Abstract

Whereas game theorists and logicians use formal methods to investigate ideal strategic behavior, many cognitive scientists use computational cognitive models of the human mind to predict and simulate human behavior. In this paper, we aim to bring these fields closer together by creating a generic translation system which, starting from a strategy for a turn-based game represented in formal logic, automatically generates a computational model in the Primitive Information Processing Elements (PRIMs) cognitive architecture, which has been validated on various experiments in cognitive psychology. The PRIMs models can be run and fitted to participants’ data in terms of decisions, response times, and answers to questions. As a proof of concept, we run computational modeling experiments on the basis of a game-theoretic experiment about the turn-based game “Marble Drop with Surprising Opponent”, in which the opponent often starts with a seemingly irrational move. We run such models starting from logical representations of several strategies, such as backward induction and extensive-form rationalizability, as well as different player types according to stance towards risk and level of theory of mind. Hereby, response times and decisions for such centipede-like games are generated, which in turn leads to concrete predictions for future experiments with human participants. Such precise predictions about different aspects, including reaction times, eye movements and active brain areas, cannot be derived on the basis of a strategy logic by itself: the computational cognitive models play a vital role and our generic translation system makes their construction more efficient and systematic than before. View Full-Text
Keywords: logic; computational cognitive modeling; turn-based games logic; computational cognitive modeling; turn-based games
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Top, J.D.; Verbrugge, R.; Ghosh, S. An Automated Method for Building Cognitive Models for Turn-Based Games from a Strategy Logic. Games 2018, 9, 44.

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