Letter to the Editor
Non-transitive quantum games
Michael L. Stohler
; Physics Department, Wabash College, Crawfordsville, IN 47933-0352
Ephraim Fischbach
; Physics Department, Purdue University, West Lafayette, IN 47907-2036
Abstract
We present two alternative approaches to constructing 3 × 3 entangled quantum games, based on different formulations of mixed strategies in a quantum game. Although these formulations are quite similar in 2 × 2 games (2 players × 2 choices), their differences become pronounced in the 3 × 3 case. A 3 × 3 classical game is the simplest platform which allows for non-transitive strategies A, B, C, where A beats B, B beats C, and C beats A (A > B > C > A). We consider non-transitive strategies in both formulations of 3 × 3 quantum games, and show that non-transitivity survives in the quantum versions of the corresponding classical games. Some physical implications of these results are also considered.
Keywords
entangled quantum games; non-transitivity; physical implications
Hrčak ID:
304094
URI
Publication date:
1.6.2005.
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