Global ETD Search

1	Orbits of the Dissected Polygons of the Generalized Catalan Numbers Auger, Joseph Thomas 09 May 2011 (has links) No description available. Mathematics Catalan Burnside's Lemma trees dissected polygons
2	Analysis of the Generalized Catalan Orbits Mott, Brittany Nicole 16 May 2011 (has links) No description available. Mathematics Catalan Numbers Generalized Catalan Numbers Burnside's Lemma Orbits Dissection of polygons
3	A Search for Maximal Diversity Amongst Paired Prisoner's Dilemma Strategies von Keitz, Michael 21 December 2011 (has links) Previous research has identified linear boundaries within a normalized unit square for specific paired strategies within the iterated prisoner's dilemma schema. In this work, general methods of capturing linear boundaries are developed and demonstrated on a wider variety of paired strategies. The method is also tested using an alternate scoring method. An application of Burnside's Lemma simplifies the number of neighbourhood configurations to be considered. In addition, Shannon entropy is used as a means of evaluating diversity of agents evolved with different payoff matrices, by which one might locate a game that is as balanced as possible. Iterated Prisoner's Dilemma Prisoner's Dilemma Burnside's Lemma Linear boundaries Normalized Space Diversity Shannon Entropy Payoff Matrices Game Theory