Game theory - Revision history

TiberiusB at 19:33, 19 April 2026

2026-04-19T19:33:10Z

2026-02-20T20:36:26Z

2026-02-20T20:31:21Z

Nash equilibrium

2026-02-20T20:31:02Z

Nash equilibrium

2026-02-20T20:30:47Z

Nash equilibrium

2026-02-20T20:30:22Z

Nash equilibrium

2026-02-20T20:28:20Z

Core structure

2026-02-20T20:28:02Z

Core structure

2026-02-20T20:27:16Z

Core structure

2026-02-20T20:23:11Z

@@ Line 77: / Line 77: @@
 * '''Non-cooperative''': analyze strategic behavior without enforceable agreements.
-* '''Cooperative''': study coalition formation and surplus allocation (e.g., Shapley value).
+* '''Cooperative''': study coalition formation and surplus [[allocation]] (e.g., Shapley value).
@@ Line 393: / Line 393: @@
 . Embedding reputation effects.
 . Allowing voluntary entry and exit.
-. Structuring surplus allocation ex post rather than ownership ex ante.
+. Structuring surplus [[allocation]] ex. post rather than ownership ex ante.
 . Designing institutions to prevent enclosure.

← Older revision		Revision as of 20:36, 20 February 2026
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−	Game theory is a mathematical framework for analyzing situations in which multiple decision-makers interact, and where the outcome for each depends not only on their own actions but also on the actions of others.	+	'''Game theory''' is a mathematical framework for analyzing situations in which multiple decision-makers interact, and where the outcome for each depends not only on their own actions but also on the actions of others.

−	Formally, it studies strategic interaction.	+	Formally, it studies '''strategic interaction'''.

← Older revision		Revision as of 20:31, 20 February 2026
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−	[[File:Nash equilibrium.png~~\|frame~~\|left]]	+	[[File:Nash equilibrium.png\|left]]

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 [[File:Nash equilibrium.png|frame|left]]
 for all players (i).
 It is a fixed point of mutual best responses.

← Older revision		Revision as of 20:30, 20 February 2026
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−	[[File:Nash equilibrium.png\|frame]]	+	[[File:Nash equilibrium.png\|frame\|left]]

	for all players (i).		for all players (i).

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 Formally:
-u_i(s_i^*, s_{-i}^*) \ge u_i(s_i, s_{-i}^*)
 for all players (i).
 It is a fixed point of mutual best responses.
 ==Example: Prisoner’s Dilemma==

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 # '''Strategy sets''' – available actions for each player.
 # '''Payoff functions''' – numerical representations of each player’s preferences over outcomes.
 [[File:Game theory structure.png|frameless]]
 Payoffs encode preference ordering, not necessarily money.

@@ Line 15: / Line 15: @@
 A game is therefore a tuple:
-[[File:Game theory structure.png|frameless|left]]
+[[File:Game theory structure.png|frameless]]
 Payoffs encode preference ordering, not necessarily money.