A number of formal epistemologists have argued that perfect rationality requires probabilistic coherence, a requirement they often claim applies only to ideal agents. However, in “Rationality as an Absolute Concept,” Roy Sorensen contends ‘rational’ is absolute term. Just Peter Unger being flat surface be completely free bumps and blemishes, claims rational perfectly rational. When we combine t...

Multiple orthogonal polynomials are polynomials of one variable that satisfy orthogonality conditions with respect to several measures. They are a very useful extension of orthogonal polynomials and recently received renewed interest because tools have become available to investigate their asymptotic behavior. They appear in rational approximation, number theory, random matrices, integrable sys...

This paper studies global asymptotic stability for positive solutions to the equation yn = yn−k + yn−m 1 + yn−k yn−m , n = 0, 1, . . . , with y−m , y−m+1, . . . , y−1 ∈ (0,∞) and 1 ≤ k < m. The paper includes a discussion of stability for a wide class of symmetric rational difference equations which includes the type studied here as well as several other in the recent literature. c © 2006 Elsev...

Given common priors, no agent can publicly estimate a non-zero sign for the difference between his estimate and another agent’s future estimate. Thus rational agents cannot publicly anticipate the direction in which other agents will disagree with them.  2002 Elsevier Science B.V. All rights reserved.

We present a generic approach to the implementation of a principle stating that personality traits have an actual influence over the rational decision making process of cognitive agents. The contribution of this work concerns the coverage of the domain of psychology that is treated, the genericity of the proposal with regard to the models of rational agents used and above all, the improvement o...

Many tasks in day-to-day life involve interactions among several people. Many of these interactions involve negotiating over a desired outcome. Negotiation in and of itself is not an easy task, and it becomes more complex under conditions of incomplete information. For example, the parties do not know in advance the exact tradeoff of their counterparts between different outcomes. Furthermore in...

Reputation mechanisms offer an efficient way of building the necessary level of trust in electronic markets. In the absence of independent verification authorities that can reveal the true outcome of a transaction, market designers have to insure that it is in the best interest of the trading agents to report the behavior in transactions truthfully. As opposed to side-payment schemes that corre...