Geodesic
Signal decoding with help of finite automata: application to games with incomplete information
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 11 (2019) no. 1, pp. 21-38

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Matrix games with incomplete information on both sides and public signal on the state of game represented by random binary code of fixed length are considered. Players are computationally bounded and are only able to play strategies to finite automata of different sizes: $m$ for Player 1 and $n$ for Player 2 where $m\gg n$. We obtain a lower bound for $m$ and an upper bound for $n$ which may turn the original game with incomplete information for both players into a game with incomplete information for Player 2.
Mots-clés : matrix game
Keywords: incomplete information, asymmetry, binary code, finite automata. 
@article{MGTA_2019_11_1_a1,
     author = {Michael R. Gavrilovich and Victoria L. Kreps},
     title = {Signal decoding with help of finite automata: application to games with incomplete information},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {21--38},
     publisher = {mathdoc},
     volume = {11},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2019_11_1_a1/}
}
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Michael R. Gavrilovich; Victoria L. Kreps. Signal decoding with help of finite automata: application to games with incomplete information. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 11 (2019) no. 1, pp. 21-38. http://geodesic.mathdoc.fr/item/MGTA_2019_11_1_a1/