Results 71 to 80 of about 735,692 (167)

The Combinatorial Game Theory of Well-Tempered Scoring Games [PDF]

open access: yesarXiv, 2011
We consider the class of "well-tempered" integer-valued scoring games, which have the property that the parity of the length of the game is independent of the line of play. We consider disjunctive sums of these games, and develop a theory for them analogous to the standard theory of disjunctive sums of normal-play partizan games.
arxiv  

Recent Developments of Game Theory and Reinforcement Learning Approaches: A Systematic Review

open access: yesIEEE Access
In the ever-changing world of decision-making, when game theory and reinforcement learning(RL) come together, they create a fascinating combination that shows a new way to solve complex problems in many fields.
Garima Jain   +2 more
doaj   +1 more source

Tame and Wild Scoring Play Games [PDF]

open access: yesarXiv, 2013
In this paper, we will be proving mathematically that scoring play combinatorial game theory covers all combinatorial games. That is, there is a sub-set of scoring play games that are identical to the set of normal play games, and a different sub-set that is identical to the set of mis\`ere play games.
arxiv  

Combinatorial Game Theory, Well-Tempered Scoring Games, and a Knot Game [PDF]

open access: yesarXiv, 2011
We begin by reviewing and proving the basic facts of combinatorial game theory. We then consider scoring games (also known as Milnor games or positional games), focusing on the "fixed-length" games for which all sequences of play terminate after the same number of moves.
arxiv  

Compendium of Advances in Game Theory: Classical, Differential, Algorithmic, Non-Archimedean and Quantum Game [PDF]

open access: yesarXiv
This compendium features advances in Game Theory, to include: Classical Game Theory: Cooperative and non-cooperative. Zero-sum and non-zero sum games. Potential and Congestion games. Mean Field games. Nash Equilibrium, Correlated Nash Equilibrium and Approximate Nash Equilibrium. Evolutionary Game Theory. Intelligent Game: Differential Game Theory.
arxiv  

Game Theory Meets Wireless Sensor Networks Security Requirements and Threats Mitigation: A Survey

open access: yesSensors, 2016
We present a study of using game theory for protecting wireless sensor networks (WSNs) from selfish behavior or malicious nodes. Due to scalability, low complexity and disseminated nature of WSNs, malicious attacks can be modeled effectively using game ...
Mohamed S. Abdalzaher   +5 more
doaj   +1 more source

Strong isomorphism in Marinatto-Weber type quantum games [PDF]

open access: yesarXiv, 2017
Our purpose is to focus attention on a new criterion for quantum schemes by bringing together the notions of quantum game and game isomorphism. A quantum game scheme is required to generate the classical game as a special case. Now, given a quantum game scheme and two isomorphic classical games, we additionally require the resulting quantum games to be
arxiv  

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