This article explores extraction profiles in the Stackelberg equilibrium of exhaustible resource industry. Calibrated with real data of world petroleum market, the Stackelberg and Cournot–Nash equilibriums are solved numerically. The properties of the Stackelberg equilibrium are compared and...

  <p><span style="font-size: 11.000000pt; font-family: 'CMTI10';">Consistency </span><span style="font-size: 11.000000pt; font-family: 'CMR10';">of the </span><span style="font-size: 11.000000pt; font-family: 'CMTI10';">least weighted squares with constraints </span><span style="font-size: 11.000000pt; font-family: 'CMR10';">under </span><span style="font-size: 11.000000pt; font-family: 'CMTI10';">heteroscedasticity </span><span style="font-size: 11.000000pt; font-family: 'CMR10';">is proved and the patterns of numerical study (for the whole collection of situations) reveals its finite sample properties (on the background of the well-known </span><span style="font-size: 11.000000pt; font-family: 'CMTI10';">least trimmed squares</span><span style="font-size: 11.000000pt; font-family: 'CMR10';">). The possibility of...</span></p>

The dynamics of dissipative and coherent N-body systems, such as a Bose–Einstein condensate, which can be described by an extended Gross–Pitaevskii formalism, is investigated. In order to analyze chaotic and unstable regimes, two approaches are considered: a metric one, based on calculations...