Iterated bounded dominance

Yue-Da Hsieh; Xuewen Qian; Chen Qu

doi:10.1016/j.econlet.2023.111360

Iterated bounded dominance

Research output: Journal Publication › Article › peer-review

Abstract

Motivated by the desideratum of undominated dominators (Jackson, 1992), we provide a notion of iterated elimination of boundedly dominated strategies for (in)finite strategic games and a wide variety of dominance relations. By introducing a condition of forgetfulness-proofness, we establish the equivalence among the usual iterated dominance, our notion of iterated bounded dominance, and Gilboa, Kalai and Zemel’s (1990) procedure. We also investigate the connection of forgetfulness-proofness with other similar conditions in the literature.

Original language	English
Article number	111360
Journal	Economics Letters
Volume	232
DOIs	https://doi.org/10.1016/j.econlet.2023.111360
Publication status	Published - Nov 2023

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10.1016/j.econlet.2023.111360

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title = "Iterated bounded dominance",

abstract = "Motivated by the desideratum of undominated dominators (Jackson, 1992), we provide a notion of iterated elimination of boundedly dominated strategies for (in)finite strategic games and a wide variety of dominance relations. By introducing a condition of forgetfulness-proofness, we establish the equivalence among the usual iterated dominance, our notion of iterated bounded dominance, and Gilboa, Kalai and Zemel{\textquoteright}s (1990) procedure. We also investigate the connection of forgetfulness-proofness with other similar conditions in the literature.",

author = "Yue-Da Hsieh and Xuewen Qian and Chen Qu",

year = "2023",

month = nov,

doi = "10.1016/j.econlet.2023.111360",

language = "English",

volume = "232",

journal = "Economics Letters",

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publisher = "Elsevier B.V.",

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T1 - Iterated bounded dominance

AU - Hsieh, Yue-Da

AU - Qian, Xuewen

AU - Qu, Chen

PY - 2023/11

Y1 - 2023/11

N2 - Motivated by the desideratum of undominated dominators (Jackson, 1992), we provide a notion of iterated elimination of boundedly dominated strategies for (in)finite strategic games and a wide variety of dominance relations. By introducing a condition of forgetfulness-proofness, we establish the equivalence among the usual iterated dominance, our notion of iterated bounded dominance, and Gilboa, Kalai and Zemel’s (1990) procedure. We also investigate the connection of forgetfulness-proofness with other similar conditions in the literature.

AB - Motivated by the desideratum of undominated dominators (Jackson, 1992), we provide a notion of iterated elimination of boundedly dominated strategies for (in)finite strategic games and a wide variety of dominance relations. By introducing a condition of forgetfulness-proofness, we establish the equivalence among the usual iterated dominance, our notion of iterated bounded dominance, and Gilboa, Kalai and Zemel’s (1990) procedure. We also investigate the connection of forgetfulness-proofness with other similar conditions in the literature.

UR - http://dx.doi.org/10.1016/j.econlet.2023.111360

U2 - 10.1016/j.econlet.2023.111360

DO - 10.1016/j.econlet.2023.111360

M3 - Article

SN - 0165-1765

VL - 232

JO - Economics Letters

JF - Economics Letters

M1 - 111360

ER -

Iterated bounded dominance

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