Cooperative game theory | Wikipedia audio article
Channel: wikipedia tts
Date: 27/12/2018

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Cooperative_game_theory


00:01:47 1 Mathematical definition
00:03:41 2 Harsanyi dividend
00:09:12 3 Duality
00:10:53 4 Subgames
00:12:11 5 Properties for characterization
00:12:21 5.1 Superadditivity
00:13:24 5.2 Monotonicity
00:13:58 5.3 Properties for simple games
00:19:42 6 Relation with non-cooperative theory
00:20:43 7 Solution concepts
00:27:51 7.1 spanThe stable set
00:29:49 7.1.1 Properties
00:30:53 7.2 The core
00:32:23 7.2.1 Properties
00:32:54 7.3 The core of a simple game with respect to preferences
00:38:45 7.4 The strong epsilon-core
00:40:34 7.5 The Shapley value
00:41:09 7.6 The kernel
00:44:59 7.7 The nucleolus
00:48:52 7.7.1 Properties
00:49:24 8 spanConvex cooperative games
00:51:39 8.1 Properties
00:54:41 8.2 Similarities and differences with combinatorial optimization
00:55:40 9 See also



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SUMMARY
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In game theory, a cooperative game (or coalitional game) is a game with competition between groups of players ("coalitions") due to the possibility of external enforcement of cooperative behavior (e.g. through contract law). Those are opposed to non-cooperative games in which there is either no possibility to forge alliances or all agreements need to be self-enforcing (e.g. through credible threats).Cooperative games are often analysed through the framework of cooperative game theory, which focuses on predicting which coalitions will form, the joint actions that groups take and the resulting collective payoffs. It is opposed to the traditional non-cooperative game theory which focuses on predicting individual players' actions and payoffs and analyzing Nash equilibria.Cooperative game theory provides a high-level approach as it only describes the structure, strategies and payoffs of coalitions, whereas non-cooperative game theory also looks at how bargaining procedures will affect the distribution of payoffs within each coalition. As non-cooperative game theory is more general, cooperative games can be analyzed through the approach of non-cooperative game theory (the converse does not hold) provided that sufficient assumptions are made to encompass all the possible strategies available to players due to the possibility of external enforcement of cooperation. While it would thus be optimal to have all games expressed under a non-cooperative framework, in many instances insufficient information is available to accurately model the formal procedures available to the players during the strategic bargaining process, or the resulting model would be of too high complexity to offer a practical tool in the real world. In such cases, cooperative game theory provides a simplified approach that allows the analysis of the game at large without having to make any assumption about bargaining powers.