Perfect information

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Perfect information is a situation in which an agent has all the relevant information with which to make a decision. It has implications for several fields.

Game theory[edit]

In game theory, an extensive-form game has perfect information if each player, when making any decision, is perfectly informed of all the events that have previously occurred. [1]

Chess is an example of a game with perfect information as each player can see all of the pieces on the board at all times. Other examples of perfect games include Tic-tac-toe, Irensei, and Go. The formal definition can be easily extended to include games with exogenous uncertainty from chance events, such as in Backgammon, or simultaneous move games, such as in the iterated prisoners' dilemma, or both, such as in Goofspiel.

Card games where each player's cards are hidden from other players are examples of games with imperfect information.[2][3]

Microeconomics[edit]

In microeconomics, a state of perfect information is assumed in some models of perfect competition. That is, assuming that all agents are rational and have perfect information, they will choose the best products, and the market will reward those who make the best products with higher sales. Perfect information would practically mean that all consumers know all things, about all products, at all times (including knowing the probabilistic outcome of all future events), and therefore always make the best decision regarding purchase. This is physically impossible, however, as the Bekenstein Bound provides a physical limit to the amount of information that can be stored in a given physical system (in this case, a market participant). Still, perfect information is a common assumption in economic models because it allows mathematical derivation of desirable results.

The pervasive effects of information asymmetry in markets have been documented and studied in numerous contexts. In his 2001 Nobel Prize lecture, economist Joseph E. Stiglitz spoke to the faults of standard economic models and the faulty policy implications and recommendations that arise from their unrealistic assumptions, writing:

"I only varied one assumption – the assumption concerning perfect information – and in ways which seemed highly plausible. ... We succeeded in showing not only that the standard theory was not robust – changing only one assumption in ways which were totally plausible had drastic consequences, but also that an alternative robust paradigm with great explanatory power could be constructed."

See also[edit]

References[edit]

  1. ^ Osborne, M. J.; Rubinstein, A. (1994). "Chapter 6: Extensive Games with Perfect Information". A Course in Game Theory. Cambridge M.A.: The MIT Press. ISBN 0-262-65040-1. 
  2. ^ Thomas, L. C. (2003). Games, Theory and Applications. Mineola N.Y.: Dover Publications. p. 19. ISBN 0-486-43237-8. 
  3. ^ Osborne, M. J.; Rubinstein, A. (1994). "Chapter 11: Extensive Games with Imperfect Information". A Course in Game Theory. Cambridge M.A.: The MIT Press. ISBN 0-262-65040-1. 

Further reading[edit]

  • Fudenberg, D. and Tirole, J. (1993) Game Theory, MIT Press. (see Chapter 3, sect 2.2)
  • Gibbons, R. (1992) A primer in game theory, Harvester-Wheatsheaf. (see Chapter 2)
  • Luce, R.D. and Raiffa, H. (1957) Games and Decisions: Introduction and Critical Survey, Wiley & Sons (see Chapter 3, section 2)
  • The Economics of Groundhog Day by economist D.W. MacKenzie, using the 1993 film Groundhog Day to argue that perfect information, and therefore perfect competition, is impossible.