An informal argument shows that common knowledge of rationality implies the iterative elimination of strictly dominated strategies. Rationality here means that players do not play strategies that are strictly dominanted relative to their knowledge. We formalize and prove this claim. When by rationality we mean that players do not play strategies that are weakly dominanted relative to their know...

An informal argument shows that common knowledge of rationality implies the iterative elimination of strongly dominated strategies. Rationality here means that players do not play strategies that are strongly dominated relative to their knowledge. We formalize and prove this claim. When by rationality we mean that players do not play strategies that are weakly dominated relative to their knowle...

Collective rationality in its ordinary sense is rationality’s extension to groups. It does not entail efficiency by definition. Showing that it entails efficiency requires a normative argument. Game theorists treating cooperative games generally assume that collective rationality entails efficiency, but formulating the reasoning that leads individuals to efficiency, and verifying the rationalit...

An informal argument shows that common knowledge of rationality implies the iterative elimination of strongly dominated strategies. Rationality here means that players do not play strategies that are strongly dominated relative to their knowledge. We formalize and prove this claim. When by rationality we mean that players do not play strategies that are weakly dominated relative to their knowle...

there have been many differences on the subject of literacy or illiteracy of prophet muhammad (peace be upon him) for a long time. many have said that he was not able to read or write throughout his life. they ratiocinate depending on the words of (ommi) and (ommien) in holy quran, meaning illiterate in dictionaries, or the story of the treaty of hudaybiyya. this can be considered as an unaccep...

The paper discusses rationality at two levels. According to a common opinion the key to rationality at the group level is a willingness to contribute unselfishly at the individual level. I claim that even when rationality at the individual level is denied, it is often achieved by social punishment. The difficulty to organize a social project is exaggerated. The relative ease of implementing ind...