On the (in)compatibility of rationality, monotonicity and consistency for cooperative games

On the domain of cooperative transferable utility games, we investigate if there are single valued solutions that reconcile rationality, consistency and monotonicity (with respect to the worth of the grand coalition) properties. This paper collects some impossibility results on the combination of core selection with either complement or projected consistency, and core selection, max consistency and monotonicity. By contrast, possibility results show up when combining individual rationality, projected consistency and monotonicity.

Love and rationality: on some possible rational effects of love

In this paper I defend the idea that rather than disrupting rationality, as the common-sense conception has done it, love may actually help us to develop rational ways of thinking and acting. I make the case for romantic or erotic love, since this is the kind of love that is more frequently associated with irrationality in acting and thinking. I argue that this kind of love may make us develop epistemic and practical forms of rationality. Based on an analysis of its characteristic action tendencies, I argue that love may help us to develop an instrumental form of rationality in determining the best means to achieve the object of love. It may also narrow down the number of practical considerations that may help us to achieve our goals. Finally, love may generate rational ways of belief-formation by framing the parameters taken into account in perception and attention, and by bringing into light only a small portion of the epistemic information available. Love may make us perceive reality more acutely.

Inferential Rationality and Internalistic Scarecrows

Abstract In a recent paper, Manuel Pérez Otero attempted to turn the tables on Paul Boghossian's claim that content externalism is incompatible with the 'a priority of our logical abilities'. In reply, Boghossian argued that Pérez Otero's criticism misses the main point of his argument through concentrating on the semantics of singular (as opposed to general) terms. I elaborate on Boghossian's reply by showing that even taken on its own terms Pérez Otero's paper fails to engage with internalism through systematically misrepresenting what a truly internalistic account of the semantics of singular terms should be.

Valuation models and Simon's bounded rationality

This paper aims at reconciling the evidence that sophisticated valuation models are increasingly used by companies in their investment appraisal with the literature of bounded rationality, according to which objective optimization is impracticable in the real world because it would demand an immense level of sophistication of the analytical and computational processes of human beings. We show how normative valuation models should rather be viewed as forms of reality representation, frameworks according to which the real world is perceived, fragmented for a better understanding, and recomposed, providing an orderly method for undertaking a task as complex as the investment decision.

Herbert A. Simon and the concept of rationality: boundaries and procedures

This paper discusses Herbert A. Simon's conception of rationality in two of its principal general definitions: bounded rationality and procedural rationality. It argues that the latter is the one that better synthesizes the author's view about rational behavior and that the former fills mainly a critical function. They are complementarily used by Simon in this sense. In spite of that, it is argued that it is the low degree of specificity of the concept of bounded rationality one of the reasons for its relatively greater success.

Freedom of choice and bounded rationality: a brief appraisal of behavioral economists' plea for light paternalism

Behavioral economics has addressed interesting positive and normative questions underlying the standard rational choice theory. More recently, it suggests that, in a real world of boundedly rational agents, economists could help people to improve the quality of their choices without any harm to autonomy and freedom of choice. This paper aims to scrutinize available arguments for and against current proposals of light paternalistic interventions mainly in the domain of intertemporal choice. It argues that incorporating the notion of bounded rationality in economic analysis and empirical findings of cognitive biases and self-control problems cannot make an indisputable case for paternalism.

Rationality in children: the first steps

Not all categorization is conceptual. Many of the experimental findings concerning infant and animal categorization invite the hypothesis that the subjects form abstract perceptual representations, mental models or cognitive maps that are not composed of concepts. The paper is a reflection upon the idea that conceptual categorization involves the ability to make categorical judgements under the guidance of norms of rationality. These include a norm of truth-seeking and a norm of good evidence. Acceptance of these norms implies willingness to defer to cognitive authorities, unwillingness to commit oneself to contradictions, and knowledge of how to reorganize one's representational system upon discovering that one has made a mistake. It is proposed that the cognitive architecture required for basic rationality is similar to that which underlies pretend-play. The representational system must be able to make room for separate 'mental spaces' in which alternatives to the actual world are entertained. The same feature underlies the ability to understand modalities, time, the appearance-reality distinction, other minds, and ethics. Each area of understanding admits of degrees, and mastery (up to normal adult level) takes years. But rational concept-management, at least in its most rudimentary form, does not require a capacity to form second-order representations. It requires knowledge of how to operate upon, and compare, the contents of different mental spaces.

Fitness to stand trial : how discourses of rationality, reasonableness and culpability inform the law and psychiatry to create standards of normal

The objective of this thesis is to demonstrate the importance of the concepts of rationality, reasonableness, culpability and autonomy that inform and support our conception of both the person and the punishable subject. A critical discourse analysis tracing these concepts through both the law and psychological tools used to evaluate the fitness of a person reveals that these concepts and their implied values are inconsistently applied to the mentally disordered who come into conflict with the law. I argue that the result of this inconsistency compromises a person's autonomy which is a contradiction to this concept as a foundational principle of the law. Ultimately, this thesis does not provide a solution to be employed in policy making, but its analysis leaves open possibilities for further exploration into the ways legal and social justice can be reconciled.

The Rationality of Revolution.

Did the recent transition to liberal democracy in Eastern Europe consitute revolutions? Here, game theory is used to structure an explanation of institutional change proposed by Harold Innis (1950).

Social Norms and Rationality of Choice

Ever since Sen (1993) criticized the notion of internal consistency of choice, there exists a wide spread perception that the standard rationalizability approach to the theory of choice has difficulties coping with the existence of external social norms. This paper introduces a concept of norm-conditional rationalizability and shows that external social norms can be accommodated so as to be compatible with norm-conditional rationalizability by means of suitably modified revealed preference axioms in the theory of rational choice on general domains à la Richter (1966;1971) and Hansson (1968)

Rationality, External Norms and the Epistemic Value of Menus

Ever since Sen’s (1993; 1997) criticism on the notion of internal consistency or menu independence of choice, there exists a widespread perception that the standard revealed preference approach to the theory of rational choice has difficulties in coping with the existence of external norms, or the information a menu of choice might convey to a decision-maker, viz., the epistemic value of a menu. This paper provides a brief survey of possible responses to these criticisms of traditional rational choice theory. It is shown that a novel concept of norm-conditional rationalizability can neatly accommodate external norms within the standard framework of rationalizability theory. Furthermore, we illustrate that there are several ways of incorporating considerations regarding the epistemic value of opportunity sets into a generalized model of rational choice theory.

ON APPROXIMATION METHODS FOR UNBOUNDED OPERATORS

Department of Mathematics, Cochin University of Science and Technology