We study the process, called the IEDI process, of iterated elimination of (strictly) dominated strategies and inessential players for finite strategic games. Such elimination may reduce the size of a game considerably, for example, from a game with a large number of players to one with a few players. We extend two existing results to our context; the preservation of Nash equilibria and orderindependence. These give a way of computing the set of Nash equilibria for an initial situation from the endgame. Then, we reverse our perspective to ask the question of what initial situations end up at a given final game. We assess what situations underlie an endgame. We give conditions for the pattern of player sets required for a resulting sequence of the IEDI process to an endgame. We illustrate our development with a few extensions of the battle of the sexes.
We have been studying the high-precision three-dimensional measurement system using cameras. In this paper, our system is verified, and its application is reported. The principle of our measurement system is based on the stereo measurement. In our system, reducing the quantization error by numerical processing can realize the highprecision 3D measurement at the long distance. This measurement system has many applications, such as industrial use, ITS, robotics, and many others. Our system has been applied on the observation of the glacier. The Perito Moreno glacier, which is our target, moves very fast and the moving speed is reported as about 2 m/day. Then, it is thought that the important information about the global warming can be obtained by observing this glacier. But, as the width of the glacier is several km, there were no reports of continuously observing the movement of the glacier in high accuracy. As a result, the unique observation results about the daily movement of the glacier were measured. The observation of the glacier flow was carried out for the third straight year. In this paper, the valuable results of the glacier observation and experimental results to verify the precision are discussed.
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