Payoff Performance of Fictitious Play

We investigate how well continuous-time fictitious play in two-player games performs in terms of average payoff, particularly compared to Nash equilibrium payoff. We show that in many games, fictitious play outperforms Nash equilibrium on average or even at all times, and moreover that any game is linearly equivalent to one in which this is the case. Conversely, we provide conditions under which Nash equilibrium payoff dominates fictitious play payoff. A key step in our analysis is to show that fictitious play dynamics asymptotically converges the set of coarse correlated equilibria (a fact which is implicit in the literature).Comment: 16 pages, 4 figure

Changes of Effective Binary Diffusivity of Silica and Viscosity of Silicomanganese Slag in the Process of Reduction of MnO and SiO<inf>2</inf>

Reduction of manganese and silicon oxides in smelting of silicomanganese causes significant changes in slag composition and properties: decreasing the ratio of non-bridging oxygens per tetrahedrally coordinated cations (NBO/T), increasing the slag viscosity, and decreasing diffusivities of slag components. These changes can have a strong effect on the kinetics of reduction reactions. This paper analyses effective binary diffusivity of silica and slag viscosity in the process of smelting of silicomanganese from Comilog ore. Compositions of slag and metal phases and slag viscosity were calculated using FACTSage V.7.2 at 1723 K to 1873 K (1450 °C to 1600 °C). Silica effective binary diffusivity and slag viscosity were related to the NBO/T ratio which decreased in the process of MnO and SiO2 reduction from 3.18 (molten charge) to 0.97 at 1723 K (1450 °C), 0.486 at 1773 K (1500 °C), and 0.38 at 1823 K to 1873 K (1550 °C to 1600 °C). Changes in the slag composition and NBO/T ratio caused increase in the slag viscosity and decrease in the effective binary diffusivity of silica by more than an order in magnitude

Density and molar volumes of liquid alloys of iron with C, B, Si, P, Cu, Al, Ni, Cr and Mn

The paper discusses density and molar volume of liquid alloys of iron with C, B, Si, P, Cu, Al, Ni, Cr and Mn. Liquid alloys of iron with other metals are considered as substitutional solutions using the hard-sphere model. Deviations of molar volumes of Fe-Cu and Fe-Al alloys from the ideal solutions were analysed using relationship between excess volume and entropy. Alloys of iron with Ni, Cr and Mn are close to the ideal solutions. Calculated volumes are in agreement with experimental data. Alloys of Fe with C, B, Si and P are considered as interstitial solutions using P. Gaskell’s model developed for amorphous alloys of transition metals with metalloids. Calculated partial molar volumes of C, B, Si and P in dilute binary solutions at 1823 K are (cm3/mol): 1.59, 3.37, 7.06 and 6.26 respectively. The model correctly describes the liquid alloys of iron with metalloids as interstitial solutions

CINEMA NO PROCESSO EDUCATIVO

O presente artigo visa relatar a vivencia pedaggica, utilizando as Tecnologias da Informao e Comunicao TICs, em sala de aula, com alunos dos cursos tcnicos integrados em Sade e Segurana no Trabalho e Tcnico em Qumica da Universidade Tecnolgica Federal do Paran UTFPR, campus Medianeira, na disciplina de Geografia II. Assim, apresenta-se a experincia da utilizao de filmes para o auxlio na aprendizagem do contedo escolar. Estar-se- apresentando uma fundamentao com base em bibliografias, que abaliza a utilizao do filme no processo educativo e demonstrao da metodologia utilizada na realizao da atividade