This paper applies quantal response equilibrium (QRE) models (McKelvey and Palfrey, 1995, Games and Economic Behavior) to ultimatum bargaining games. When the strategy space is discrete, as the noise vanishes, the QRE of the normal-form representation converges to a Nash equilibrium in which an equilibrium o er is between 0 and a half of the pie while the QRE of the extensive-form representatio...

Training agents in a virtual crowd to achieve a task can be accomplished by allowing the agents to learn by trial-and-error and by sharing information with other agents. Since sharing enables agents to potentially reach optimal behavior more quickly, what type of sharing is best to use to achieve the quickest learning times? This paper categorizes sharing into three categories: realistic, unrea...

It is demonstrated that unique and simple analytical functions are justified for the atomic charge dependences q of the T (T = Al, P) and O atoms of aluminophosphates (AlPOs) using DFT calculations with several basis sets, starting from STO-3G to 3-21G and 6-21G**. Three internal (bonds, angles, ...) coordinates for the charge dependences of the T atoms and four coordinates for the O are suffic...