Elicitation of strategies in four variants of a round-robin tournament: the case of Goofspiel

Goofspiel is a simple two-person zero-sum game for which there exist no known equilibrium strategies. To gain insight into what constitute winning strategies, we conducted a round-robin tournament in which participants were asked to provide computerized programs for playing the game with or without...

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Main Authors: Dror, Moshe, Kendall, G., Rapoport, Amnon
Format: Article
Published: IEEE 2016
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Online Access:https://eprints.nottingham.ac.uk/49524/
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author Dror, Moshe
Kendall, G.
Rapoport, Amnon
author_facet Dror, Moshe
Kendall, G.
Rapoport, Amnon
author_sort Dror, Moshe
building Nottingham Research Data Repository
collection Online Access
description Goofspiel is a simple two-person zero-sum game for which there exist no known equilibrium strategies. To gain insight into what constitute winning strategies, we conducted a round-robin tournament in which participants were asked to provide computerized programs for playing the game with or without carryover. Each of these two variants was to be played under two quite different objective functions, namely, maximization of the cumulative number of points won across all opponents (as in Axelrod's tournament), and maximization of the probability of winning any given round. Our results show that there are, indeed, inherent differences in the results with respect to the complexity of the game and its objective function, and that winning strategies exhibit a level of sophistication, depth, and balance that are not captured by present models of adaptive learning.
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spelling nottingham-495242020-05-04T20:01:04Z https://eprints.nottingham.ac.uk/49524/ Elicitation of strategies in four variants of a round-robin tournament: the case of Goofspiel Dror, Moshe Kendall, G. Rapoport, Amnon Goofspiel is a simple two-person zero-sum game for which there exist no known equilibrium strategies. To gain insight into what constitute winning strategies, we conducted a round-robin tournament in which participants were asked to provide computerized programs for playing the game with or without carryover. Each of these two variants was to be played under two quite different objective functions, namely, maximization of the cumulative number of points won across all opponents (as in Axelrod's tournament), and maximization of the probability of winning any given round. Our results show that there are, indeed, inherent differences in the results with respect to the complexity of the game and its objective function, and that winning strategies exhibit a level of sophistication, depth, and balance that are not captured by present models of adaptive learning. IEEE 2016-09 Article PeerReviewed Dror, Moshe, Kendall, G. and Rapoport, Amnon (2016) Elicitation of strategies in four variants of a round-robin tournament: the case of Goofspiel. IEEE Transactions on Computational Intelligence and AI in Games, 8 (3). pp. 209-217. ISSN 1943-0698 Goofspiel strategy http://ieeexplore.ieee.org/document/6975081/ doi:10.1109/TCIAIG.2014.2377250 doi:10.1109/TCIAIG.2014.2377250
spellingShingle Goofspiel
strategy
Dror, Moshe
Kendall, G.
Rapoport, Amnon
Elicitation of strategies in four variants of a round-robin tournament: the case of Goofspiel
title Elicitation of strategies in four variants of a round-robin tournament: the case of Goofspiel
title_full Elicitation of strategies in four variants of a round-robin tournament: the case of Goofspiel
title_fullStr Elicitation of strategies in four variants of a round-robin tournament: the case of Goofspiel
title_full_unstemmed Elicitation of strategies in four variants of a round-robin tournament: the case of Goofspiel
title_short Elicitation of strategies in four variants of a round-robin tournament: the case of Goofspiel
title_sort elicitation of strategies in four variants of a round-robin tournament: the case of goofspiel
topic Goofspiel
strategy
url https://eprints.nottingham.ac.uk/49524/
https://eprints.nottingham.ac.uk/49524/
https://eprints.nottingham.ac.uk/49524/