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Gregory Chaitin produced undecidable statements in algorithmic information theory and proved another incompleteness theorem in that setting. Chaitin's incompleteness theorem states that for any system that can represent enough arithmetic, there is an upper bound c such that no specific number can be proved in that system to have Kolmogorov ...
The work for which he won the 1994 Nobel Prize in economics was a series of articles published in 1967 and 1968 which established what has become the standard framework for analyzing "games of incomplete information", situations in which the various strategic decisionmakers have different information about the parameters of the game.
In economics and game theory, complete information is an economic situation or game in which knowledge about other market participants or players is available to all participants. The utility functions (including risk aversion), payoffs, strategies and "types" of players are thus common knowledge .
In game theory, a Bayesian game is a strategic decision-making model which assumes players have incomplete information. Players may hold private information relevant to the game, meaning that the payoffs are not common knowledge. [1] Bayesian games model the outcome of player interactions using aspects of Bayesian probability.
The fundamental theorem of poker is a principle first articulated by David Sklansky [1] that he believes expresses the essential nature of poker as a game of decision-making in the face of incomplete information.
In this context, either an information-theoretical measure, such as functional clusters (Gerald Edelman and Giulio Tononi's functional clustering model and dynamic core hypothesis (DCH) [47]) or effective information (Tononi's integrated information theory (IIT) of consciousness [48] [49] [50]), is defined (on the basis of a reentrant process ...
Gregory John Chaitin (/ ˈ tʃ aɪ t ɪ n / CHY-tin; born 25 June 1947) is an Argentine-American mathematician and computer scientist.Beginning in the late 1960s, Chaitin made contributions to algorithmic information theory and metamathematics, in particular a computer-theoretic result equivalent to Gödel's incompleteness theorem. [2]
Consider a network game of local provision of public good [4] when agent's actions are strategic substitutes, (i.e. the benefit of the individual from undertaking a certain action is not greater if his partners undertake the same action) thus, in the case of strategic substitutes, equilibrium actions are non-increasing in player's degrees.