Tang’s Dilemma and other problems

Prisoners' other Dilemma

We ...nd that cooperation as equilibrium of the in...nitely repeated discounted Prisoner’s Dilemma is often not plausible: For a signi...cant subset of the payo¤discount factor parameter space, all co-operation equilibria are strictly risk dominated (in the sense of Harsanyi and Selten, 1988) by defection. We derive an easy-to-calculate critical level for the discount factor ±¤ below which this...

Daisies and Other Turán Problems

Our aim in this note is to make some conjectures about extremal densities of daisy-free families, where a ‘daisy’ is a certain hypergraph. These questions turn out to be related to some Turán problems in the hypercube, but they are also natural in their own right. We start by giving the daisy conjectures, and some related problems, and shall then go on to describe the connection with vertex-Tur...

Radial Tunnel Syndrome, Diagnostic and Treatment Dilemma

Radial tunnel syndrome is a disease which we should consider it in elbow and forearm pains. It is diagnosed with lateral elbow and dorsal forearm pain may radiate to the wrist and dorsum of the fingers. The disease is more prevalent in women with the age of 30 to 50 years old. It occurs by intermittent compression on the radial nerve from the radial head to the inferior border of the supinator ...

Additive rules in bankruptcy problems and other related problems

In this paper we characterize the set of rules satisfying additivity on the estate along with additivity on the estate and the claims in bankruptcy problems and other related problems. Moreover, new characterizations of the well known rules based on the principles of “equal award”, “equal loss”, and “proportionality” are provided using these additivity properties.

Wavelets for Regression and Other Statistical Problems