Pure strategy game - Revision history

Dirkjan at 20:02, 27 August 2020

2020-08-27T20:02:04Z

Dirkjan at 19:20, 27 August 2020

2020-08-27T19:20:49Z

Dirkjan: Created page with "The so called ''Maximin'' strategy aims to to select the maximum value of the minimum of the rows: {| class="wikitable" ! ! !B1 !B2 !Row minimum |- |Game player A |A1 |3 |4 |'..."

2020-08-25T08:06:07Z

Created page with "The so called ''Maximin'' strategy aims to to select the maximum value of the minimum of the rows: {| class="wikitable" ! ! !B1 !B2 !Row minimum |- |Game player A |A1 |3 |4 |'..."

New page

The so called ''Maximin'' strategy aims to to select the maximum value of the minimum of the rows:
{| class="wikitable"
!
!
!B1
!B2
!Row minimum
|-
|Game player A
|A1
|3
|4
|'''3'''
|-
|
|A2
|1
|-2
|-2
|-
|}With the maximin strategy on the above example '3' is the maximum value of the two minimums of the row.

The so called ''Minimax'' strategy aims to to select the minium value of the maximum of the columns (the largest loss)
{| class="wikitable"
!
!
!B1
!B2
!Row minimum
|-
|Game player A
|A1
|3
|4
|3
|-
|
|A2
|1
|-2
|-2
|-
|
|
|'''3'''
|4
|
|-
|}With the maximin strategy on the above example '3' is the minimum value of the two maximum values of the column.

The value of '3' is the maximum of player A's minimum gains. It is also the minimum of player B's maximum losses. If this point it is called a ''saddle point'' and it will mean that each player will play the same strategy each time. It is therefore called a ''pure strategy game''

Part of [[M7-Quantitative Decision Methods-S5 - Game Theory|M7-Quantitative Decision Methods-S5 - Game Theory]]
[[Category:mbi]]

[[Category:Decision]]

[[Category:M7]]

[[Category:Methods]]

[[Category:Quantitative]]

[[Category:Term]]

← Older revision		Revision as of 19:20, 27 August 2020
Line 1:		Line 1:
−	~~The so called ''Maximin'' strategy aims to to select the maximum value of the minimum of the rows:~~	+	Pure strategy game
−	~~{\| class="wikitable"~~
−	!
−	!
−	~~!B1~~
−	~~!B2~~
−	~~!Row minimum~~
−	\|-
−	~~\|Game player A~~
−	~~\|A1~~
−	\|3
−	\|4
−	~~\|'''3'''~~
−	\|-
−	\|
−	~~\|A2~~
−	\|1
−	~~\|-2~~
−	~~\|-2~~
−	\|-
−	~~\|}With the maximin strategy on the above example '3' is the maximum value of the two minimums of the row.~~
−
−	~~The so called ''Minimax'' strategy aims to to select the minium value of the maximum of the columns (the largest loss)~~
−	~~{\| class="wikitable"~~
−	!
−	!
−	~~!B1~~
−	~~!B2~~
−	~~!Row minimum~~
−	\|-
−	~~\|Game player A~~
−	~~\|A1~~
−	\|3
−	\|4
−	\|3
−	\|-
−	\|
−	~~\|A2~~
−	\|1
−	~~\|-2~~
−	~~\|-2~~
−	\|-
−	\|
−	\|
−	~~\|'''3'''~~
−	\|4
−	\|
−	\|-
−	~~\|}With the maximin strategy on the above example '3' is the minimum value of the two maximum values of the column.~~
−
−	The value of '3' is the maximum of player A's minimum gains. It is also the minimum of player B's maximum losses. If this point it is called a ''saddle point'' and it will mean that each player will play the same strategy each time. It is therefore called a ''pure strategy game''
−
−	~~Part of [[M7-Quantitative Decision Methods-S5 - Game Theory\|M7-Quantitative Decision Methods-S5 - Game Theory]]~~
	[[Category:mbi]]		[[Category:mbi]]

← Older revision		Revision as of 20:02, 27 August 2020
Line 1:		Line 1:
−	~~Pure~~ strategy game	+	The so called ''Maximin'' strategy aims to to select the maximum value of the minimum of the rows:
		+	{\| class="wikitable"
		+	!
		+	!
		+	!B1
		+	!B2
		+	!Row minimum
		+	\|-
		+	\|Game player A
		+	\|A1
		+	\|3
		+	\|4
		+	\|'''3'''
		+	\|-
		+	\|
		+	\|A2
		+	\|1
		+	\|-2
		+	\|-2
		+	\|-
		+	\|}With the maximin strategy on the above example '3' is the maximum value of the two minimums of the row.
		+
		+	The so called ''Minimax'' strategy aims to to select the minium value of the maximum of the columns (the largest loss)
		+	{\| class="wikitable"
		+	!
		+	!
		+	!B1
		+	!B2
		+	!Row minimum
		+	\|-
		+	\|Game player A
		+	\|A1
		+	\|3
		+	\|4
		+	\|3
		+	\|-
		+	\|
		+	\|A2
		+	\|1
		+	\|-2
		+	\|-2
		+	\|-
		+	\|
		+	\|
		+	\|'''3'''
		+	\|4
		+	\|
		+	\|-
		+	\|}With the maximin strategy on the above example '3' is the minimum value of the two maximum values of the column.
		+
		+	The value of '3' is the maximum of player A's minimum gains. It is also the minimum of player B's maximum losses. If this point it is called a ''saddle point'' and it will mean that each player will play the same strategy each time. It is therefore called a ''pure strategy game''
		+
		+	Part of [[M7-Quantitative Decision Methods-S5 - Game Theory\|M7-Quantitative Decision Methods-S5 - Game Theory]]
	[[Category:mbi]]		[[Category:mbi]]