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Improved Game Units Balancing In Game Design Through Combinatorial Optimization
IEEE International Conference on e-Business Engineering, 2021Game balancing is an essential part of game design, and it plays a vital role as the balancing results directly affect the players' experiences. At present, there is no well-admitted definition of game balance.
Wei Wang, Ran Zhang
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, 2013 Table of Contents: Combinatorial games Short games The structure of G Impartial games Misere play Loopy games Temperature theory Transfinite games Open problems Mathematical prerequisites A finite loopfree history Bibliography Glossary of notation Author
Aaron N. Siegel
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Provably Difficult Combinatorial Games
SIAM Journal on Computing, 1979For a number of two-person combinatorial games, the problem of determining the outcome of optimal play from a given starting position (that is, of determining which player, if either, has a forced win) is shown to be complete in exponential time with respect to logspace-reducibility.
Stockmeyer, Larry J., Chandra, Ashok K.
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The combinatorial game theory of well-tempered scoring games
International Journal of Game Theory, 2013The general behavior of combinatorial scoring games is not well-understood. In this paper, we focus on a special class of “well-tempered” scoring games. By analogy with Grossman and Siegel’s notion of even- and odd-tempered normal play games, we declare ...
Will Johnson
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Preference graphs: a combinatorial tool for game theory
arXiv.orgThe preference graph is a combinatorial representation of the structure of a normal-form game. Its nodes are the strategy profiles, with an arc between profiles if they differ in the strategy of a single player, where the orientation indicates the ...
O. Biggar, Iman Shames
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Cloud Quantum Resource Allocation using Game Theoretic Quantum Based Dynamic Combinatorial Auction
2024 IEEE 1st International Conference on Green Industrial Electronics and Sustainable Technologies (GIEST)Resource allocation in cloud quantum computing environments is a challenging problem due to the combinatorial nature of quantum resources and the strategic behavior of users.
Rupesh Das +5 more
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A Game-Based Combinatorial Double Auction Model for Cloud Resource Allocation
International Conference on Computer Communications and Networks, 2019Cloud computing integrates a large number of resources through virtualization technology, and then provides users with personalized services on an on-demand basis.
Qihui Li +4 more
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Learning Self-Game-Play Agents for Combinatorial Optimization Problems
Adaptive Agents and Multi-Agent Systems, 2019Recent progress in reinforcement learning (RL) using self-game-play has shown remarkable performance on several board games as well as video games (e.g., Atari games and Dota2).
Ruiyang Xu, K. Lieberherr
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This paper examines two classical combinatorial games, Nim and the Domino Game on Linear Strips, through the shared principles of parity, recursion, and binary structure. It begins by formalizing Nim, where each position’s outcome is determined by the Nim-sum (bitwise XOR) of heap sizes: positions with zero Nim-sum are losing, and optimal play involves
Elliot Mendelson, Daniel Zwillinger
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Elliot Mendelson, Daniel Zwillinger
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Combinatorial Games under Auction Play
Games and Economic Behavior, 1999The authors consider two-person games played on directed graphs where each player aims at reaching a designated vertex, and where the right to move next is determined either by chance (spinner game), or by some sort of auction (Richman games, after David Ross Richman).
Lazarus, Andrew J. +4 more
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