Thanks to algebraic topology, we were able to obtain a series of results concerning social theory and game theory choices. This new approach allows for clarification of the theorems of impossibility in the domain of social theory choice as well as the discovery of new theorems. It also helps...

This chapter presents a summary of recent results obtained in game and social choice theories, and highlights the application and the development of tools in algebraic topology. The purpose is expository: no attempt is made to provide complete proofs, for which references are given, nor to...