This paper studies a general class of pure exchange economies that have multiple equilibria, which extend an example presented by Lloyd Shapley and Martin Shubik. For such economies, we find easily verified conditions that determine whether there are multiple equilibria. We also provide simple...

Transplants of donated stem cells save the lives of many patients with blood diseases. Donation is somewhat painful, but rarely has lasting adverse effects. Patients can accept transplants only from donors with compatible immune systems. Those lacking a sibling match must seek donations from the...

The impact factor of an academic journal for any year is the number of times the average article published in that journal in the previous two years are cited in that year. From 1994-2005, the average impact factor of journals listed by the ISI has been increasing by an average of 2.6 percent...

The plight of multiracial leukemia patients who are unable to find matching stem cell donors has received much media attention. These news stories, while dramatic, are short on statistical information and long on misconceptions. We apply simple probability theory, the genetics of sexual diploid...

We provide simple formulas that can be used to calculate ideal bootstrap or exact recombination estimates of group statistics from experimental data.