Notes

These notes are by no means complete or even totally factual. Just stuff I jotted down when talking. It would be useful to have better notes & definitions. I'll come back to this when solving my exercise.

2.4 - Existence of a Nash Equilibrium

  • You can prove that there must exist a Nash equilibrium if the game conforms to specific properties
  • if every action profile is a convex set
  • compact set: contains it’s limits points and it is bounded
  • this is considering infinity actions

  • some proofs prove that there is only one nash equilibrium

2.5 - Strictly Competitive Games

  • maxminimizer— maxing your profit, minimizing their profit
  • in a strictly competitive game, all actors will be maxminimizers
  • Can be used to reason about properties of games if we know they are strictly competitive--super useful stuff!

2.6 - Bayesian Games 🎉

  • Good video on Bayesian Games (mentions player types)
  • [?] omega is [a set of...?...] which will influence player's strategies
  • each player has a sense for other players choice depending on an external source of randomness
  • [?] each player uses information coming from signals to deduce the probability that a specific result of omega has occurred
  • if signal function has all the info, it is a complete view [is this called complete view?]

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