18. a) Using the results obtained in problem (2.17) above, we are to find a closed-form expression for the Green’s function for the interior of a cylinder of radius b with Dirichlet boundary conditions. From our general work with solutions to the Laplace equation with Green’s functions and from our work about in problem (2.17), we know that the Green’s function for the interior of the cylinder ...

A class of games for finding a leader among a group of candidates is studied in detail. This class covers games based on coin-tossing and rock-paper-scissors as special cases and its complexity exhibits similar stochastic behaviors: either of logarithmic mean and bounded variance or of exponential mean and exponential variance. Many applications are also discussed.

In this note we correct and improve a zero duality gap result in extended monotropic programming given by Bertsekas in [1].

Numerous studies have been carried out to find out the factor of impulse purchase components in different environment such as on website, mobile, traditional retail store and traditional television. However, those studies are not dedicated to design models to increase impulse purchase on iTV advertising. Therefore, an analysis involving five existing models of website advertising environment, t...

Despite the growing political priority given to making trade work for the majority in Latin America, a notable gap exists in the knowledge about the distributive impacts of trade integration. This study attempts to fill this gap: it surveys the most recent contributions to the mainstream trade economics literature, assesses their relevance for Latin America and concentrates on specific quantita...

Motivated by the concern that the recent surge in inflation could retard growth, the paper revisits the nexus between inflation and growth from the perspective of an emerging economy, India. Examining this relationship using a wavelet multi resolution analysis with varying time scale decomposition suggests a strong and persistent negative relationship between growth and inflation for a short ti...

Despite the rise of dual-income households in the United States and a narrowing of the nation’s gender wage gap, we find that many men and women still prefer the husband to be the primary breadwinner. To help explain intra-marital wage preferences, we argue for a new construct, gender determinism, which captures the extent to which a person believes gender categories dictate individual characte...

We define a family of natural decompositions of Sturmian words in Christoffel words, called reversible Christoffel (RC) factorizations. They arise from the observation that two Sturmian words with the same language have (almost always) arbitrarily long Abelian equivalent prefixes. Using the three gap theorem, we prove that in each RC factorization, only 2 or 3 distinct Christoffel words may occ...

Sharp exchange rate depreciations in the East Asian crisis countries (Indonesia, Korea, and Thailand) raised doubts about the efficacy of increasing interest rates to defend the currency. Using a standard monetary model of exchange rate determination, this paper shows that tighter monetary policy was in fact associated with an appreciation of the exchange rate in these countries and during the ...