Bidirectional Optimization from Reasoning and Learning in Games

Authors:
Michael Franke;Gerhard Jäger
Affiliations:
Department of Linguistics, University of Tübingen, Tubingen, Germany;Department of Linguistics, University of Tübingen, Tubingen, Germany
Venue:
Journal of Logic, Language and Information
Year:
2012

Citing 4
Cited 0

Language and strategic inference (logic, GDME theory)

Language and strategic inference (logic, GDME theory)
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Some Notes on the Formal Properties of Bidirectional Optimality Theory

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Expressing Ignorance or Indifference

Logic, Language, and Computation

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Abstract

We reopen the investigation into the formal and conceptual relationship between bidirectional optimality theory (Blutner in J Semant 15(2):115---162, 1998, J Semant 17(3):189---216, 2000) and game theory. Unlike a likeminded previous endeavor by Dekker and van Rooij (J Semant 17:217---242, 2000), we consider signaling games not strategic games, and seek to ground bidirectional optimization once in a model of rational step-by-step reasoning and once in a model of reinforcement learning. We give sufficient conditions for equivalence of bidirectional optimality and the former, and show based on numerical simulations that bidirectional optimization may be thought of as a process of reinforcement learning with lateral inhibition.