• Corpus ID: 18407950

Elements of Game Theory - Part I: Foundations, acts and mechanisms

@article{Georgiou2015ElementsOG,
  title={Elements of Game Theory - Part I: Foundations, acts and mechanisms},
  author={Harris V. Georgiou},
  journal={ArXiv},
  year={2015},
  volume={abs/1506.05148}
}
In this paper, a gentle introduction to Game Theory is presented in the form of basic concepts and examples. Minimax and Nash's theorem are introduced as the formal definitions for optimal strategies and equilibria in zero-sum and nonzero-sum games. Several elements of cooperative gaming, coalitions, voting ensembles, voting power and collective efficiency are described in brief. Analytical (matrix) and extended (tree-graph) forms of game representation is illustrated as the basic tools for… 
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References

SHOWING 1-10 OF 57 REFERENCES
Games of Strategy: Theory and Applications
Abstract : "Games of Strategy: Theory and Applications," originally published by Prentice Hall in 1961, was written by Melvin Dresher, a RAND research mathematician, during the heyday of Game Theory
Non-cooperative games
TLDR
Non-cooperative game models are described and game theoretic solution concepts are discussed, as well as refinements and relaxations of rationalizability and correlated equilibria.
Theory of Games and Economic Behavior
THIS book is based on the theory that the economic man attempts to maximize his share of the world's goods and services in the same way that a participant in a game involving many players attempts to
Collective decision efficiency and optimal voting mechanisms: A comprehensive overview for multi-classifier models
TLDR
A new game-theoretic approach for combining multiple classifiers is proposed, and a fully adaptive version of WMRs is proposed as a statistically invariant way of adjusting the design process of the optimal WMR to the arbitrary non-symmetrical properties of the underlying feature space.
Games with Incomplete Information Played by "Bayesian" Players, I-III: Part I. The Basic Model&
TLDR
The paper develops a new theory for the analysis of games with incomplete information where the players are uncertain about some important parameters of the game situation, such as the payoff functions, the strategies available to various players, the information other players have about the game, etc.
Game theory.
  • M. Dufwenberg
  • Psychology
    Wiley interdisciplinary reviews. Cognitive science
  • 2011
TLDR
The nature of game-theoretic analysis, the history of game theory,Why game theory is useful for understanding human psychology, and why game theory has played a key role in the recent explosion of interest in the field of behavioral economics are discussed.
Weighted Voting, Multicameral Representation, and Power
Abstract A simple game ( P, W ) can serve as a model of a voting system in which an alternative is pitted against the status quo. In what follows, we investigate the following three aspects of such
A Gentle Introduction to Game Theory
Introduction The formal definitions Optimal responses to specific strategies The maximin strategy The minimax strategy Solutions of zero-sum games $2 \times n$ and $m \times 2$ games Dominance
Iterated Prisoner’s Dilemma contains strategies that dominate any evolutionary opponent
TLDR
It is shown that there exists no simple ultimatum strategy whereby one player can enforce a unilateral claim to an unfair share of rewards, but such strategies unexpectedly do exist.
Moral Calculations: Game Theory, Logic, and Human Frailty
Games of Morality.- 1. Auction and Posing.- The Dollar Auction Game.- The Three Critical Points.- Out of the Party and into the Psych Lab.- High-Stakes Auctions.- Dollar Auctions in Everyday Life.-
...
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