Relationship between dilemma occurrence and the existence of a weakly dominant strategy in a two-player symmetric game

Jun Tanimoto, Hiroki Sagara

Research output: Contribution to journalArticle

141 Citations (Scopus)

Abstract

Defining the dilemma game by the proposition, A game cannot sustain an increase of cooperation strategy in its strategy distribution, we deduced that the substance of a dilemma can be expressed by a productive summation of the static factor and the dynamic factor independently. A static factor is an element of the game's structure that influences a possible dilemma, which relates to a game's structural deviation from a situation where the cooperation strategy can be weakly dominant over other strategies. In contrast, a dynamic factor refers to a strategy distribution's influence on the dilemma by affecting the game dynamics. In a 2 × 2 game, the existence of a dilemma can be determined only by a static factor. That is, whether or not a dilemma occurs is related only to the structural effect of the game. On the other hand, in a more-than-two-strategies game, both static and dynamic factors determine the occurrence of a dilemma, and the static factor cannot solely explain the occurrence of a dilemma.

Original languageEnglish
Pages (from-to)105-114
Number of pages10
JournalBioSystems
Volume90
Issue number1
DOIs
Publication statusPublished - Jul 1 2007

Fingerprint

Dilemma
Game
Dynamic Games
Strategy
Relationships
Proposition
Summation
Deviation

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modelling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Applied Mathematics

Cite this

Relationship between dilemma occurrence and the existence of a weakly dominant strategy in a two-player symmetric game. / Tanimoto, Jun; Sagara, Hiroki.

In: BioSystems, Vol. 90, No. 1, 01.07.2007, p. 105-114.

Research output: Contribution to journalArticle

@article{b80c9c9adbba4c098cf02a5b70233d49,
title = "Relationship between dilemma occurrence and the existence of a weakly dominant strategy in a two-player symmetric game",
abstract = "Defining the dilemma game by the proposition, A game cannot sustain an increase of cooperation strategy in its strategy distribution, we deduced that the substance of a dilemma can be expressed by a productive summation of the static factor and the dynamic factor independently. A static factor is an element of the game's structure that influences a possible dilemma, which relates to a game's structural deviation from a situation where the cooperation strategy can be weakly dominant over other strategies. In contrast, a dynamic factor refers to a strategy distribution's influence on the dilemma by affecting the game dynamics. In a 2 × 2 game, the existence of a dilemma can be determined only by a static factor. That is, whether or not a dilemma occurs is related only to the structural effect of the game. On the other hand, in a more-than-two-strategies game, both static and dynamic factors determine the occurrence of a dilemma, and the static factor cannot solely explain the occurrence of a dilemma.",
author = "Jun Tanimoto and Hiroki Sagara",
year = "2007",
month = "7",
day = "1",
doi = "10.1016/j.biosystems.2006.07.005",
language = "English",
volume = "90",
pages = "105--114",
journal = "BioSystems",
issn = "0303-2647",
publisher = "Elsevier Ireland Ltd",
number = "1",

}

TY - JOUR

T1 - Relationship between dilemma occurrence and the existence of a weakly dominant strategy in a two-player symmetric game

AU - Tanimoto, Jun

AU - Sagara, Hiroki

PY - 2007/7/1

Y1 - 2007/7/1

N2 - Defining the dilemma game by the proposition, A game cannot sustain an increase of cooperation strategy in its strategy distribution, we deduced that the substance of a dilemma can be expressed by a productive summation of the static factor and the dynamic factor independently. A static factor is an element of the game's structure that influences a possible dilemma, which relates to a game's structural deviation from a situation where the cooperation strategy can be weakly dominant over other strategies. In contrast, a dynamic factor refers to a strategy distribution's influence on the dilemma by affecting the game dynamics. In a 2 × 2 game, the existence of a dilemma can be determined only by a static factor. That is, whether or not a dilemma occurs is related only to the structural effect of the game. On the other hand, in a more-than-two-strategies game, both static and dynamic factors determine the occurrence of a dilemma, and the static factor cannot solely explain the occurrence of a dilemma.

AB - Defining the dilemma game by the proposition, A game cannot sustain an increase of cooperation strategy in its strategy distribution, we deduced that the substance of a dilemma can be expressed by a productive summation of the static factor and the dynamic factor independently. A static factor is an element of the game's structure that influences a possible dilemma, which relates to a game's structural deviation from a situation where the cooperation strategy can be weakly dominant over other strategies. In contrast, a dynamic factor refers to a strategy distribution's influence on the dilemma by affecting the game dynamics. In a 2 × 2 game, the existence of a dilemma can be determined only by a static factor. That is, whether or not a dilemma occurs is related only to the structural effect of the game. On the other hand, in a more-than-two-strategies game, both static and dynamic factors determine the occurrence of a dilemma, and the static factor cannot solely explain the occurrence of a dilemma.

UR - http://www.scopus.com/inward/record.url?scp=34447096355&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34447096355&partnerID=8YFLogxK

U2 - 10.1016/j.biosystems.2006.07.005

DO - 10.1016/j.biosystems.2006.07.005

M3 - Article

VL - 90

SP - 105

EP - 114

JO - BioSystems

JF - BioSystems

SN - 0303-2647

IS - 1

ER -