Gagen, Michael (2012): Using strong isomorphisms to construct game strategy spaces.

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Abstract
When applied to the same game, probability theory and game theory can disagree on calculated values of the Fisher information, the log likelihood function, entropy gradients, the rank and Jacobian of variable transforms, and even the dimensionality and volume of the underlying probability parameter spaces. These differences arise as probability theory employs structure preserving isomorphic mappings when constructing strategy spaces to analyze games. In contrast, game theory uses weaker mappings which change some of the properties of the underlying probability distributions within the mixed strategy space. In this paper, we explore how using strong isomorphic mappings to define game strategy spaces can alter rational outcomes in simple games, and might resolve some of the paradoxes of game theory.
Item Type:  MPRA Paper 

Original Title:  Using strong isomorphisms to construct game strategy spaces 
Language:  English 
Keywords:  noncooperative games: isomorphic probability distributions: mixed strategy spaces 
Subjects:  C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C72  Noncooperative Games 
Item ID:  40139 
Depositing User:  Michael Gagen 
Date Deposited:  21 Jul 2012 19:56 
Last Modified:  03 Oct 2019 12:05 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/40139 