Incomplete information and risk sensitive analysis of sequential games without a predetermined order of turns
Kybernetika, Tome 57 (2021) no. 2, pp. 312-331
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
The authors introduce risk sensitivity to a model of sequential games where players don't know beforehand which of them will make a choice at each stage of the game. It is shown that every sequential game without a predetermined order of turns with risk sensitivity has a Nash equilibrium, as well as in the case in which players have types that are chosen for them before the game starts and that are kept from the other players. There are also a couple of examples that show how the equilibria might change if the players are risk prone or risk adverse.
The authors introduce risk sensitivity to a model of sequential games where players don't know beforehand which of them will make a choice at each stage of the game. It is shown that every sequential game without a predetermined order of turns with risk sensitivity has a Nash equilibrium, as well as in the case in which players have types that are chosen for them before the game starts and that are kept from the other players. There are also a couple of examples that show how the equilibria might change if the players are risk prone or risk adverse.
DOI :
10.14736/kyb-2021-2-0312
Classification :
91A10, 91A18, 91A25
Keywords: incomplete information; sequential game; risk sensitive; turn selection process
Keywords: incomplete information; sequential game; risk sensitive; turn selection process
@article{10_14736_kyb_2021_2_0312,
author = {Becerril-Borja, Rub\'en and Montes-de-Oca, Ra\'ul},
title = {Incomplete information and risk sensitive analysis of sequential games without a predetermined order of turns},
journal = {Kybernetika},
pages = {312--331},
year = {2021},
volume = {57},
number = {2},
doi = {10.14736/kyb-2021-2-0312},
mrnumber = {4273578},
zbl = {07396269},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-2-0312/}
}
TY - JOUR AU - Becerril-Borja, Rubén AU - Montes-de-Oca, Raúl TI - Incomplete information and risk sensitive analysis of sequential games without a predetermined order of turns JO - Kybernetika PY - 2021 SP - 312 EP - 331 VL - 57 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-2-0312/ DO - 10.14736/kyb-2021-2-0312 LA - en ID - 10_14736_kyb_2021_2_0312 ER -
%0 Journal Article %A Becerril-Borja, Rubén %A Montes-de-Oca, Raúl %T Incomplete information and risk sensitive analysis of sequential games without a predetermined order of turns %J Kybernetika %D 2021 %P 312-331 %V 57 %N 2 %U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-2-0312/ %R 10.14736/kyb-2021-2-0312 %G en %F 10_14736_kyb_2021_2_0312
Becerril-Borja, Rubén; Montes-de-Oca, Raúl. Incomplete information and risk sensitive analysis of sequential games without a predetermined order of turns. Kybernetika, Tome 57 (2021) no. 2, pp. 312-331. doi: 10.14736/kyb-2021-2-0312
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