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arXiv · 2208.02788

Continuous guts poker and numerical optimization of generalized recursive games

Kevin Buck·Jae Hwan Lee·Jacob Platnick·Aric Wheeler·Kevin Zumbrun
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Abstract

We study a type of generalized recursive game introduced by Castronova, Chen, and Zumbrun featuring increasing stakes, with an emphasis on continuous guts poker and $1$ v. $n$ coalitions. Our main results are to develop practical numerical algorithms with rigorous underlying theory for the approximation of optimal mutiplayer strategies, and to use these to obtain a number of interesting observations about guts. Outcomes are a striking 2-strategy optimum for $n$-player coalitions, with asymptotic advantage approximately $16\%$; convergence of Fictitious Play to symmetric Nash equilibrium; and a malevolent interactive $n$-player "bot" for demonstration.

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Kevin Buck, Jae Hwan Lee, Jacob Platnick, Aric Wheeler, Kevin Zumbrun. 2022-08-04. Continuous guts poker and numerical optimization of generalized recursive games. https://arxiv.org/abs/2208.02788

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