Expository notes on computability and complexity in (arithmetical) games

Article Abstract:

Claims presented in some arithmetical games, such as Michael Rabin's games, are unmanageable and hard to attain. An experimental analysis shows that one aspect that needs to studied in arithmetical games is the lack of exponential time with regards to determining the winning strategy of a player. The study suggests that the 'many-person', perfect information, win-lose arithmetical games need to be simplified in order to make them more effective and effecient.

Game, Toy, and Children's Vehicle Manufacturing, Games, toys, and children's vehicles, Games & Puzzles, Research, Arithmetic functions

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Rationality in extensive-form games

Article Abstract:

The reason for some paradoxes in game theory is illustrated in an analysis of extensive-form games such as tic-tac-toe which involves only two players and perfect information. The rationality behind backward induction play has to be counterbalanced with a degree of irrationality in which at least one of the players does not maximize his option. Thus, it becomes apparent that common knowledge of maximizing behavior is not always true.

Rationalism

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The game take-or-play: a paradox of rationality in simultaneous move games

Article Abstract:

The author presents a solution to paradoxical conslusions found in take-or-play games and backward induction.

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