This paper discusses If multi-agent learning is the answer, what is the question? [Y. Shoham, R. Powers, T. Grenager, If multiagent learning is the answer, what is the question? Artificial Intelligence 171 (7) (2007) 365–377, this issue] from the perspective of evolutionary game theory. We briefly discuss the concepts of evolutionary game theory, and examine the main conclusions from [Y. Shoham...

We observe that the classical Faulhaber’s theorem on sums of odd powers also holds for an arbitrary arithmetic progression, namely, the odd power sums of any arithmetic progression a+b, a+2b, . . . , a+nb is a polynomial in na+ n(n + 1)b/2. While this assertion can be deduced from the original Fauhalber’s theorem, we give an alternative formula in terms of the Bernoulli polynomials. Moreover, b...

Two new classes of nonlinear transformations, the Dtransformation to accelerate the convergence of infinite integrals and the d-transformation to accelerate the convergence of infinite series, are presented. In the course of the development of these transformations two interesting asymptotic expansions, one for infinite integrals and the other for infinite series, are derived. The transformatio...

Let A be an abelian variety over a field k. We consider CH0(A) as a ring under Pontryagin product and relate powers of the ideal I ⊆ CH0(A) of degree zero elements to powers of the algebraic equivalence relation. We also consider a filtration F 0 ⊇ F 1 ⊇ . . . on the Chow groups of varieties of the form T ×k A (defined using Pontryagin products on A ×k A considered as an A-scheme via projection...

Elegant experiments are being carried out, or are in preparation, to improve the precision with which the solar and atmospheric neutrino-oscillation parameters are known, and to attempt to make a first measurement of the small mixing angle θ13. The compelling case for the development of an accelerator-based neutrino source to serve the programme of precision measurements of neutrino oscillation...