Bidirectional Optimality Theory

2011 ◽  

2021 ◽  
Vol 11 ◽  
Author(s):  
Irene Mognon ◽  
Simone A. Sprenger ◽  
Sanne J. M. Kuijper ◽  
Petra Hendriks

Upon hearing “Some of Michelangelo’s sculptures are in Rome,” adults can easily generate a scalar implicature and infer that the intended meaning of the utterance corresponds to “Some but not all Michelangelo’s sculptures are in Rome.” Comprehension experiments show that preschoolers struggle with this kind of inference until at least 5 years of age. Surprisingly, the few studies having investigated children’s production of scalar expressions like some and all suggest that production is adult-like already in their third year of life. Thus, children’s production of implicatures seems to develop at least 2 years before their comprehension of implicatures. In this paper, we present a novel account of scalar implicature generation in the framework of Bidirectional Optimality Theory: the Asymmetry Account. We show that the production–comprehension asymmetry is predicted to emerge because the comprehension of some requires the hearer to consider the speaker’s perspective, but the production of some does not require the speaker to consider the hearer’s perspective. Hence, children’s comprehension of scalar expressions, but not their production of scalar expressions, is predicted to be related to their theory of mind development. Not possessing fully developed theory of mind abilities yet, children thus have difficulty in comprehending scalar expressions such as some in an adult-like way. Our account also explains why variable performance is found in experimental studies testing children’s ability to generate scalar implicatures; moreover, it describes the differences between children’s and adults’ implicature generation in terms of their ability to recursively apply theory of mind; finally, it sheds new light on the question why the interpretation of numerals does not require implicature generation.



2008 ◽  
Vol 39 (4) ◽  
pp. 565-587 ◽  
Author(s):  
Helen de Hoop ◽  
Andrej L. Malchukov

Two strategies of case marking in natural languages are discussed. These are defined as two violable constraints whose effects are shown to converge in the case of differential object marking but diverge in the case of differential subject marking. The discourse prominence of the case-bearing arguments is shown to be of utmost importance for case-marking and voice alternations. The analysis of the case-marking patterns that are found crosslinguistically is couched in a bidirectional Optimality Theory analysis.





2009 ◽  
Vol 51 ◽  
pp. 216
Author(s):  
Anton Benz ◽  
Reinhard Blutner

Optimality theory as used in linguistics (Prince & Smolensky, 1993/2004; Smolensky & Legendre, 2006) and cognitive psychology (Gigerenzer & Selten, 2001) is a theoretical framework that aims to integrate constraint based knowledge representation systems, generative grammar, cognitive skills, and aspects of neural network processing. In the last years considerable progress was made to overcome the artificial separation between the disciplines of linguistic on the one hand which are mainly concerned with the description of natural language competences and the psychological disciplines on the other hand which are interested in real language performance. The semantics and pragmatics of natural language is a research topic that is asking for an integration of philosophical, linguistic, psycholinguistic aspects, including its neural underpinning. Especially recent work on experimental pragmatics (e.g. Noveck & Sperber, 2005; Garrett & Harnish, 2007) has shown that real progress in the area of pragmatics isn’t possible without using data from all available domains including data from language acquisition and actual language generation and comprehension performance. It is a conceivable research programme to use the optimality theoretic framework in order to realize the integration. Game theoretic pragmatics is a relatively young development in pragmatics. The idea to view communication as a strategic interaction between speaker and hearer is not new. It is already present in Grice' (1975) classical paper on conversational implicatures. What game theory offers is a mathematical framework in which strategic interaction can be precisely described. It is a leading paradigm in economics as witnessed by a series of Nobel prizes in the field. It is also of growing importance to other disciplines of the social sciences. In linguistics, its main applications have been so far pragmatics and theoretical typology. For pragmatics, game theory promises a firm foundation, and a rigor which hopefully will allow studying pragmatic phenomena with the same precision as that achieved in formal semantics. The development of game theoretic pragmatics is closely connected to the development of bidirectional optimality theory (Blutner, 2000). It can be easily seen that the game theoretic notion of a Nash equilibrium and the optimality theoretic notion of a strongly optimal form-meaning pair are closely related to each other. The main impulse that bidirectional optimality theory gave to research on game theoretic pragmatics stemmed from serious empirical problems that resulted from interpreting the principle of weak optimality as a synchronic interpretation principle. In this volume, we have collected papers that are concerned with several aspects of game and optimality theoretic approaches to pragmatics.  



2003 ◽  
Vol 9 (1) ◽  
pp. 21-38 ◽  
Author(s):  
GERHARD JÄGER

The paper investigates the computational complexity of different versions of Optimality Theory (OT). The result of Frank and Satta (1998) is used as a starting point. These authors show that unidirectional optimization can be implemented by finite state techniques if only binary constraints are used. The consequences of (a) taking gradient constraints into account and (b) using bidirectional optimization in the sense of Blutner (2000) are explored. The central result of the paper is that the combination of gradient constraints and bidirectionality leads to a massive increase of computational complexity.





2009 ◽  
Vol 51 ◽  
pp. 111-134
Author(s):  
Michael Franke

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.  



2006 ◽  
Vol 44 (1) ◽  
pp. 71-84
Author(s):  
Ariel Cohen

In this paper I discuss four type of bare nominal, and note that, in some sense, all of them appear to imply stereotypicality. I consider an account in terms of Bidirectional Optimality Theory: unmarked (bare) forms give rise to unmarked (stereotypical) interpretations. However, it turns out that, while the form of bare numerals is unmarked, the interpretation sometimes is not. I suggest that the crucial notion is not unmarkedness, but optimal inference: unmarked forms give rise to interpretations that are best used for drawing inferences. I propose a revision of Bidirectional Optimality Theory to reflect this.  



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