Representing von Neumann–Morgenstern Games in the Situation Calculus

@article{Schulte2004RepresentingVN,
  title={Representing von Neumann–Morgenstern Games in the Situation Calculus},
  author={Oliver Schulte and James P. Delgrande},
  journal={Annals of Mathematics and Artificial Intelligence},
  year={2004},
  volume={42},
  pages={73-101}
}
Sequential von Neumann–Morgernstern (VM) games are a very general formalism for representing multi-agent interactions and planning problems in a variety of types of environments. We show that sequential VM games with countably many actions and continuous utility functions have a sound and complete axiomatization in the situation calculus. This axiomatization allows us to represent game-theoretic reasoning and solution concepts such as Nash equilibrium. We discuss the application of various… CONTINUE READING
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