Balancing pairs of interfering elements
Many decisions in different fields of application have to take into account the joined effects of two elements that can interfere with each other. For example, in Industrial Economics the demand of an asset can be influenced by the supply of another asset, with synergic or antagonistic effects. The same happens in Public Economics, where two differing economic policies can create mutual interference. Analogously in Medicine and Life Sciences with drugs whose combined administration can produce extra damages or synergies. Other examples occur in Agriculture, Zootechnics and so on. When it is necessary to intervene in such elements, there is sometimes a primary interest for one effect rather than another. For example, if the importance of the effect of an element is ten times greater than the importance of the effect of another, then it is convenient to take this importance into consideration in deciding to what extent it should be employed. With this in mind, the model proposed here allows the optimal quantities of two elements that interfere with each other to be calculated, taking into account the minimum quantities to be allocated. Algorithms for determining solutions for continuous effects' functions are given, together with software specifically for the case of bilinear functions. It concludes with the presentation of applications particularly to economical problems.
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- Gianfranco Gambarelli, 2007. "Transforming Games From Characteristic Into Normal Form," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(01), pages 87-104.
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