The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
This paper provides several extensions of the notion of dimension of a simple game and proves the existence of a minimum subclass of weighted games with the property that every simple game can be expressed as their intersection. Some further generalizations lead to the new concept of codimension which is obtained by considering the union instead of the intersection as the basic operation.