Dynamically Consistent NSFD Discretization of Some Productive-Destructive Population Models Satisfying Conservations Laws

Some Residually Finite Groups Satisfying Laws

We give an example of a residually-p finitely generated group, that satisfies a non-trivial group law, but is not virtually solvable. Denote by Fn the free group on n generators. Recall that, given a group word m(x1, . . . , xn) ∈ Fn, a group G satisfies the law m = 1 if for every u1, . . . , un ∈ G, m(u1, . . . , un) = 1. Given a set S of group laws, the n-generator free group in the variety g...

Reduced order models for parameterized hyperbolic conservations laws with shock reconstruction

Dynamically consistent nonstandard finite difference schemes for epidemiological models

This work is the numerical analysis and computational companion of the paper by Kamgang and Sallet (Math. Biosc. 213 (2008), pp. 1–12) where threshold conditions for epidemiological models and the global stability of the disease-free equilibrium (DFE) are studied. We establish a discrete counterpart of the main continuous result that guarantees the global asymptotic stability (GAS) of the DFE f...

Dynamically consistent voting rules

Many preference aggregation problems are not, by nature, one-shot. In these settings, voter preferences need to be repeatedly aggregated as a function of the underlying pool of options that are being voted over. For example, imagine that a firm votes an offer to a candidate. If the offer is declined, then the pool of options shrinks, votes are aggregated once more, and a subsequent offer is mad...

Dynamically consistent CEU preferences

We give an axiomatic foundation to the updating rule proposed by [Sarin, R. and Wakker, P. P. (1998). Revealed likelihood and knightian uncertainty. Journal of Risk and Uncertainty 16(3):223-250.] for CEU preferences. This rule is dynamically consistent but non-consequentialist, since forgone consequences are relevant for conditioning. Whereas it does not work universally, but only when counter...