Aim: To present a systematic development of the theory of combinatorial games from the ground up. Approach: Computational complexity. Combinatorial games are completely determined; the questions of interest are efficiencies of strategies. Methodology: Divide and conquer. Ascend from Nim to Chess...

Mechanism design is a subfield of game theory that aims to design games whose equilibria have desired properties such as achieving high efficiency or high revenue. Algorithmic mechanism design is a subfield that lies on the border of mechanism design and computer science and deals with mechanism...