Games, Fixed Points and Mathematical Economics (Christian-Oliver Ewald, et al.)

 
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Games, Fixed Points and Mathematical Economics (Christian-Oliver Ewald, et al.)

Making ensuring that the models they use are consistent has been one of the issues in economics to which economists have given a lot of attention in recent years. It is assumed that markets are generally in some form of equilibrium and the question of whether such equilibrium is attainable is raised.

In order to handle this issue, fixed point theorems—which describe the circumstances in which a set of assumptions has a solution—are the primary mathematical tools.

This book introduces the reader to the relevant mathematical methods before using fixed point theorems to demonstrate the existence of equilibria in economics and in both cooperative and competitive games. In situations where agent preferences might not be transferable, particular focus is placed on economics and games.

For the purpose of further elucidating the findings, the author offers contemporary proof of earlier findings. Additionally, he offers novel results that refer to the central idea of a game without transitivity, most notably in the final chapter. Graduate and advanced undergraduate students, as well as mathematical economists, will find this book beneficial as a text or reference source.

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