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arXiv · 1808.06707

A non-iterative algorithm for generalized Pig games

Fabián Crocce·Ernesto Mordecki
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Abstract

We provide a polynomial algorithm to find the value and an optimal strategy for a generalization of the Pig game. Modeled as a competitive Markov decision process, the corresponding Bellman equations can be decoupled leading to systems of two non-linear equations with two unknowns. In this way we avoid the classical iterative approaches. A simple complexity analysis reveals that the algorithm requires O(s log(s)) steps, where s is the number of states of the game. The classical Pig and the Piglet (a simple variant of the Pig played with a coin) are examined in detail.

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Fabián Crocce, Ernesto Mordecki. 2018-08-20. A non-iterative algorithm for generalized Pig games. https://arxiv.org/abs/1808.06707

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