Quantum Information Processing (2020) 19:388
https://doi.org/10.1007/s11128-020-02734-1
Comments on Quantization and experimental realization
of the Colonel Blotto game
Joydeep Naskar
1
Received: 3 March 2020 / Accepted: 17 June 2020
© Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract
In this note, I attempt to explore the quantum Colonel Blotto game and contrast it
with the classical Colonel Blotto game; in particular, I will focus on an exemplary
case where the quantum payoff does not agree with the classical payoff at classical
limits, i.e., when both players play classical strategies. Some insightful discussion on
the nature of the quantum version of the game and their interpretation are also stated.
Keywords Quantum games · Colonel Blotto game
1 The Colonel Blotto game
The Colonel Blotto game has been featured in game theory since its introduction [1]
to till date with a recent work on multiplayer Colonel Blotto game [2]. A quantum
mechanical version of the 2-player Colonel Blotto game is presented in [3]. In this
section, I will briefly discuss the Colonel Blotto game.
1.1 Homogeneous, asymmetric classical Colonel Blotto game
This game has 2 players Enemy and Blotto, who allocate their limited soldiers (or
resources) in battlefields of equal significance (homogeneous condition). When the
two players have different number of soldiers, the game is asymmetric.
This comment refers to the article available online at https://doi.org/10.1007/s11128-018-2113-5.
B Joydeep Naskar
naskarjoydeep@gmail.com
1
School of Physical Sciences, National Institute of Science Education and Research (HBNI),
Bhubaneswar, India
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