A most wellknown determinacy condition on interest rate rules is the “Taylor principle”, which says that nominal interest rates should respond more than hundred percent to inflation. Unfortunately, notably because interest rates must be positive, the Taylor principle cannot be satisfied for all interest rates, and as a consequence global determinacy may not prevail even though there exists a lo...

In this talk, we will provide a high level sketch of Martin’s proof of Borel Determinacy.

We prove a number of results on the determinacy ?-projective sets reals, i.e., those belonging to smallest pointclass containing open and closed under complements, countable unions, projections. first equivalence between certain classes games variable length <?2 (Theorem 2.4). then give an elementary proof from optimal large-cardinal hypotheses 4.4). Finally, we show how generalize obtain proof...

Abstract This paper considers logarithmic asymptotics of tails randomly stopped sums. The stopping is assumed to be independent the underlying random walk. First, finiteness ordinary moments revisited. Then study expanded more general asymptotic analysis. Results are applicable a large class heavy-tailed variables. main result enables one identify if behaviour sum dominated by its increments or...