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• W2758182638 abstract "A key challenge in game design is achieving balance between the strategies available to the players. Traditionally this has been done through playtesting, with its difficult requirements of time, labor, and interpretation of results. To make it quicker and easier to balance games, we propose a game-theoretic approach that automatically balances strategies based on a mathematical model of the game. Specifically, we model the balance problem as modifying a zero-sum game, using one variable per strategy, so that every strategy has an incentive to be employed. We begin with a special case where these variables affect player payoffs multiplicatively, and show that the simple Sinkhorn-Knopp algorithm can be used to balance the game. We then proceed to analyze the more general case where the variables have a monotonic effect on payoffs, and show that it is amenable to standard optimization methods. We give examples inspired by well-known game series including Pokemon and Warhammer 40,000." @default.
• W2758182638 created "2017-10-06" @default.
• W2758182638 creator A5011210589 @default.
• W2758182638 creator A5031672248 @default.
• W2758182638 date "2021-06-25" @default.
• W2758182638 modified "2023-10-15" @default.
• W2758182638 title "Balancing Zero-Sum Games with One Variable per Strategy" @default.
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• W2758182638 doi "https://doi.org/10.1609/aiide.v13i1.12924" @default.
• W2758182638 hasPublicationYear "2021" @default.
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