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04/02/2023
A complete solution for a nontrivial ruleset with entailing moves
Combinatorial Game Theory typically studies sequential rulesets with per...
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07/23/2022
Constructive comparison in bidding combinatorial games
A class of discrete Bidding Combinatorial Games that generalize alternat...
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07/17/2022
Bidding combinatorial games
Combinatorial Game Theory is a branch of mathematics and theoretical com...
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01/27/2021
Impartial games with entailing moves
Combinatorial Game Theory has also been called `additive game theory', w...
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01/19/2021
Game values of arithmetic functions
Arithmetic functions in Number Theory meet the Sprague-Grundy function f...
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07/08/2020
Atomic weights and the combinatorial game of Bipass
We define an all-small ruleset, Bipass, within the framework of normal-p...
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05/13/2020
Cumulative Games: Who is the current player?
Combinatorial Game Theory (CGT) is a branch of game theory that has deve...
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03/12/2020
Discrete Richman-bidding Scoring Games
We study zero-sum (combinatorial) games, within the framework of so-call...
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09/10/2019
Golden games
We consider extensive form win-lose games over a complete binary-tree of...
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12/14/2018
Asymptotically Efficient Multi-Unit Auctions via Posted Prices
We study the asymptotic average-case efficiency of static and anonymous ...
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05/23/2018
Cumulative subtraction games
We study zero-sum games, a variant of the classical combinatorial Subtra...
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03/07/2018