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In the classical approach of von Neumann and Morgenstern to cooperative games, it was assumed that the worth of all coalitions must be given. However, in real-world problems, the worth of some coalitions may be unknown. Therefore, in this study, we consider the Shapley value for convex partially defined games using two approaches. Firstly, we introduce a polytope that includes the set of Shapley values that can be obtained from a given convex partially defined game and select one rational value in some sense from the set. The elements of this polytope are said to be the Shapley payoff vectors. Secondly, we obtain the set of Shapley values that can be obtained from a given convex partially defined game and select one rational value in some sense from the set. Moreover, we axiomatize the proposed two values. [ABSTRACT FROM AUTHOR]

Killer defects are responsible for leakage current and breakdown in β-gallium oxide (β-Ga2O3) Schottky barrier diodes, which are crucial for power device applications. We have found that stacking faults in the halide vapor phase epitaxial (HVPE) (001) layer are killer defects. One type of defect is found to consist of (111) and (1 1 ¯ 1) stacking faults. The leakage current is 50 nA/defect at − 200 V. This defect appears as a heart-shaped etch pit. Another type of defect is found to be a sequence of stacking faults from microparticles, which are formed at low gas flow rate during HVPE growth. The leakage current is 0.11–0.49 μA/defect at − 200 V. This defect appears as a group of bullet-shaped etch pits. [ABSTRACT FROM AUTHOR]

A novel diamond Schottky barrier diode (SBD) with H-terminated surface exposed to NO2 gas is fabricated toward high power rectifying antenna (rectenna). The double NO2 exposures are introduced to provide high concentration of 2-D hole gas at the diamond surface. Experimentally, our SBDs have shown to give good rectifier properties with the high current density of 24 A/cm ^\mathrm \mathbf 2 at a forward voltage of −2 V. A dual diode rectifier circuit using two diamond SBDs was designed with diode model constructed from experimental $I$ – $V$ curves. Values of circuit components such as dc block capacitance and load resistance were selected to achieve larger output voltage. Experimentally RF to dc conversion is demonstrated, where RF input voltage with 10 MHz and the amplitude of 9 V was converted into a dc output voltage as large as 4.2 V. [ABSTRACT FROM PUBLISHER]

This paper considers a cooperative fuzzy game withnplayers andralternatives called a multi-alternative fuzzy game. Considering the non-homogeneity among players, we pro-pose a new value function on a class of these games, which means evaluation values for the game by players. Furthermore an axiom system is proposed on which the new value function is based. Finally we give a numerical example in which the new value is compared with traditional values. [ABSTRACT FROM PUBLISHER]