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To some, the relation between bidirectional optimality theory and game theory seems obvious: strong bidirectional optimality corresponds to Nash equilibrium in a strategic game (Dekker and van Rooij 2000). But in the domain of pragmatics this formally sound parallel is conceptually inadequate: the sequence of utterance and its interpretation cannot be modelled reasonably as a strategic game, because this would mean that speakers choose formulations independently of a meaning that they want to express, and that hearers choose an interpretation irrespective of an utterance that they have observed. Clearly, the sequence of utterance and interpretation requires a dynamic game model. One such model, and one that is widely studied and of manageable complexity, is a signaling game. This paper is therefore concerned with an epistemic interpretation of bidirectional optimality, both strong and weak, in terms of beliefs and strategies of players in a signaling game. In particular, I suggest that strong optimality may be regarded as a process of internal self-monitoring and that weak optimality corresponds to an iterated process of such self-monitoring. This latter process can be derived by assuming that agents act rationally to (possibly partial) beliefs in a self-monitoring opponent.
In this paper, we outline the foundations of a theory of implicatures. It divides into two parts. The first part contains the base model. It introduces signalling games, optimal answer models, and a general definition of implicatures in terms of natural information. The second part contains a refinement in which we consider noisy communication with efficient clarification requests. Throughout, we assume a fully cooperative speaker who knows the information state of the hearer. The purpose of this paper is not the study of examples. Our concern is the framework for doing these studies.
Ever since the discovery of neural networks, there has been a controversy between two modes of information processing. On the one hand, symbolic systems have proven indispensable for our understanding of higher intelligence, especially when cognitive domains like language and reasoning are examined. On the other hand, it is a matter of fact that intelligence resides in the brain, where computation appears to be organized by numerical and statistical principles and where a parallel distributed architecture is appropriate. The present claim is in line with researchers like Paul Smolensky and Peter Gärdenfors and suggests that this controversy can be resolved by a unified theory of cognition – one that integrates both aspects of cognition and assigns the proper roles to symbolic computation and numerical neural computation.
The overall goal in this contribution is to discuss formal systems that are suitable for grounding the formal basis for such a unified theory. It is suggested that the instruments of modern logic and model theoretic semantics are appropriate for analyzing certain aspects of dynamical systems like inferring and learning in neural networks. Hence, I suggest that an active dialogue between the traditional symbolic approaches to logic, information and language and the connectionist paradigm is possible and fruitful. An essential component of this dialogue refers to Optimality Theory (OT) – taken as a theory that likewise aims to overcome the gap between symbolic and neuronal systems. In the light of the proposed logical analysis notions like recoverability and bidirection are explained, and likewise the problem of founding a strict constraint hierarchy is discussed. Moreover, a claim is made for developing an "embodied" OT closing the gap between symbolic representation and embodied cognition.
The main concern of this article is to discuss some recent findings concerning the psychological reality of optimality-theoretic pragmatics and its central part – bidirectional optimization. A present challenge is to close the gap between experimental pragmatics and neo-Gricean theories of pragmatics. I claim that OT pragmatics helps to overcome this gap, in particular in connection with the discussion of asymmetries between natural language comprehension and production. The theoretical debate will be concentrated on two different ways of interpreting bidirection: first, bidirectional optimization as a psychologically realistic online mechanism; second, bidirectional optimization as an offline phenomenon of fossilizing optimal form-meaning pairs. It will be argued that neither of these extreme views fits completely with the empirical data when taken per se.