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Counterintuitive behaviour in games based on spin models

Hendrik Moraal

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LETTER TO THE EDITOR

A large class of games based on spin models is analysed. For these games, the long-time gain can be calculated exactly. It is shown that the mixing of two losing strategies may lead to a winning one, but also that the mixing of two winning ones may lead to a loss. Also, the mixing of a losing and a winning strategy may give unexpected results. This behaviour is due to two general features: (i) the class of games is such that mixing the playing of two games is equivalent to playing a third one, and (ii) the break-even boundaries for these games are curved.


PACS

02.50.Le Decision theory and game theory

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

MSC

82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs

91A40 Game-theoretic models

Subjects

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 23 (16 June 2000)

Received 4 February 2000, in final form 18 April 2000



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