%0 Journal Article %T The Dynamics of Market Share¡¯s Growth and Competition in Quadratic Mappings %A C-Ren¨¦ Dominique %A Luis Eduardo Rivera Solis %J Advances in Management and Applied Economics %D 2013 %I Scienpress Ltd %X This paper shows that the observed output of any market, placed within the confine of a quadratic map, can characterize the state of that market. Such an approach explains the process of market share¡¯s growth and its pitfalls, the consequences of broken symmetry of scaling, as well as the limits of firms¡¯ competition for market shares. %K Market Share %K Quadratic Mappings %K Monofractality %U http://www.scienpress.com/Upload/AMAE/Vol%203_2_11.pdf