A Game-Theoretic Analysis of Baccara Chemin de Fer

Stewart N. Ethier and Carlos Gámez
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Stewart N. Ethier: Department of Mathematics, University of Utah, 155 South 1400 East, Salt Lake City, UT 84112, USA
Carlos Gámez: Escuela de Matemática, Facultad de Ciencias Naturales y Matemática, Universidad de El Salvador, Final Avenida, "Mártires Estudiantes del 30 de Julio", Ciudad Universitaria, San Salvador, El Salvador

Games, 2013, vol. 4, issue 4, 1-27

Abstract: Assuming that cards are dealt with replacement from a single deck and that each of Player and Banker sees the total of his own two-card hand but not its composition, baccara is a 2 x 2 88 matrix game, which was solved by Kemeny and Snell in 1957. Assuming that cards are dealt without replacement from a d-deck shoe and that Banker sees the composition of his own two-card hand while Player sees only his own total, baccara is a 2 x 2 484 matrix game, which was solved by Downton and Lockwood in 1975 for d = 1, 2, . . . , 8. Assuming that cards are dealt without replacement from a d-deck shoe and that each of Player and Banker sees the composition of his own two-card hand, baccara is a 2 5 x 2 484 matrix game, which is solved herein for every positive integer d.

Keywords: baccara; chemin de fer; sampling without replacement; matrix game; strict dominance; kernel; solution (search for similar items in EconPapers)
JEL-codes: C C7 C70 C71 C72 C73 (search for similar items in EconPapers)
Date: 2013
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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