The integration of artificial intelligence (AI) within cognitive science (CogSci) necessitates further elaborations on, and modelings of, several indispensable cognitive criteria. We approach this issue by emphasizing the close relation between artificial general intelligence (AGI) and CogSci, and discussing, particularly, “rationality” as one of such indispensable criteria. We give arguments e...

Debates around the assumption of rationality in economic theory abound and are too numerous to be listed here. Traditionally, rationality of a decision maker is captured by a set of (testable) axioms, whose meaning and strength can be discussed. These rationality axioms however do not all have the same status in the sense that they bear on different things. One could actually distinguish three ...

Classifying all algebraic solutions to the sixth Painlevé equation is an important unsettled problem. We announce some new results which might bring a new insight into this subject. The main results consist of the rationality of parameters, trigonometric Diophantine conditions, and what the author calls the Tetrahedral Theorem regarding the absence of algebraic solutions in certain situations. ...

The traditional line-of-sight ultraviolet model cannot serve better for link performance study for the reason that the scattering characteristic is often ignored in the modelling process. Therefore, a line-of-sight ultraviolet bipyramid model in combination with transceiver full beam angles and geometrical relationship of the transceiver field of view intersection is established. The theoretica...

The Arrow index of a fuzzy choice function C is a measure of the degree to which C satisfies the Fuzzy Arrow Axiom, a fuzzy version of the classical Arrow Axiom. The main result of this paper shows that A(C) characterizes the degree to which C is full rational. We also obtain a method for computing A(C). The Arrow index allows to rank the fuzzy choice functions with respect to their rationality...

This paper introduces dynamic predictor selection into a New Keynesian model with heterogeneous expectations and examines its implications for monetary policy. We extend Branch and McGough (2006) by endogenizing the fraction of rational versus adaptive agents along the lines of Brock and Hommes (1997). We show that models that are determinate under the assumption of full rationality may possess...

The winner-take-all nature of all-pay auctions makes the outcome sensitive to decision errors, which we introduce with a logit formulation. The equilibrium bid distribution is a fixed point: the belief distributions that determine expected payoffs equal the choice distributions determined by expected payoffs. We prove existence, uniqueness, and symmetry properties. In contrast to the Nash equil...

An informal argument shows that common knowledge of rationality implies the iterative elimination of strongly dominated strategies. Rationality here means that players do not play strategies that are strongly dominated relative to their knowledge. We formalize and prove this claim. When by rationality we mean that players do not play strategies that are weakly dominated relative to their knowle...

)w hat is common and di fferent in two great thinkers’ views?rationality of faith is one of the most important issues in contemporary philosophy of religion that most philosophers of religion have discussed it . alvin plantinga and richard swinburne with theistic approach have discussed this subject. swinburne with evidentialist approach concludes that religious belief like every another belief...

This paper studies the rationality of an individual player in sequential games of perfect information played with other players who are not necessarily rational. The paper proposes a set of properties on the choice behavior and shows that they are equivalent to the rationality of an individual player at the initial node independently of the behavioral norm of the other players. Furthermore, I s...