Advanced Game Theory And Network Optimization: Algorithms, Strategies, And Applications

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Advanced Game Theory and Network Optimization: Algorithms,Strategies, and Applications1)A) Definitions for the first three partsPart iv is finding the Shapley value as in previous exercisesB) Again definitions for the first three parts.Part ivuses Johnson’s algorithm2)Reduce the matrix by domination. Find conditions on probabilities and solve for columnplayer. Then find row player strategy that creates equilibrium.B) Reduce the game to 2x2. Now there is a saddle point in the 2x2 matrixC) This one is discussed in the file.3)Already worked4)First part is a definitionSecond part uses Dijkstra’s methodThird part uses Floyd’s method. Numbers that change are circled.Fourth part finds maximum flow and minimal cut. Remember that a cut must separatethe network into two disjoint subsets.Fifth part is to find maximum spanning tree. All nodes must be visited.1)A) First three are definitions. Fourth part has a saddle pointB) First three are again definitions. Fourth part is minimum spanning tree

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