Peg Duotaire is a two-player version of the classical puzzle called Peg Solitaire. Players take turns making peg-jumping moves, and the first player which is left without available moves loses the game. Peg Duotaire has been studied from a combinatorial point of view and two versions of the game have been considered, namely the single- and the multi-hop variant. On the other hand, understanding the computational complexity of the game is explicitly mentioned as an open problem in the literature. We close this problem and prove that both versions of the game are PSPACE-complete. We also prove the PSPACE-completeness of other peg-jumping games where two players control pegs of different colors.

On the PSPACE - Completeness of peg duotaire and other peg-jumping games / Bilo, D.; Guala, L.; Leucci, S.; Proietti, G.; Rossi, M.. - 100:(2018), pp. 81-815. (Intervento presentato al convegno 9th International Conference on Fun with Algorithms, FUN 2018 tenutosi a ita nel 2018) [10.4230/LIPIcs.FUN.2018.8].

### On the PSPACE - Completeness of peg duotaire and other peg-jumping games

#### Abstract

Peg Duotaire is a two-player version of the classical puzzle called Peg Solitaire. Players take turns making peg-jumping moves, and the first player which is left without available moves loses the game. Peg Duotaire has been studied from a combinatorial point of view and two versions of the game have been considered, namely the single- and the multi-hop variant. On the other hand, understanding the computational complexity of the game is explicitly mentioned as an open problem in the literature. We close this problem and prove that both versions of the game are PSPACE-complete. We also prove the PSPACE-completeness of other peg-jumping games where two players control pegs of different colors.
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2018
On the PSPACE - Completeness of peg duotaire and other peg-jumping games / Bilo, D.; Guala, L.; Leucci, S.; Proietti, G.; Rossi, M.. - 100:(2018), pp. 81-815. (Intervento presentato al convegno 9th International Conference on Fun with Algorithms, FUN 2018 tenutosi a ita nel 2018) [10.4230/LIPIcs.FUN.2018.8].
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11388/221877`
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