{"action":"opened","issue":{"url":"https://api.github.com/repos/ElgersNiels/gameToLPParser/issues/1","repository_url":"https://api.github.com/repos/ElgersNiels/gameToLPParser","labels_url":"https://api.github.com/repos/ElgersNiels/gameToLPParser/issues/1/labels{/name}","comments_url":"https://api.github.com/repos/ElgersNiels/gameToLPParser/issues/1/comments","events_url":"https://api.github.com/repos/ElgersNiels/gameToLPParser/issues/1/events","html_url":"https://github.com/ElgersNiels/gameToLPParser/issues/1","id":156624833,"number":1,"title":"Objective function of Optimal Correlated Equilibria","user":{"login":"ElgersNiels","id":7439596,"avatar_url":"https://avatars.githubusercontent.com/u/7439596?v=3","gravatar_id":"","url":"https://api.github.com/users/ElgersNiels","html_url":"https://github.com/ElgersNiels","followers_url":"https://api.github.com/users/ElgersNiels/followers","following_url":"https://api.github.com/users/ElgersNiels/following{/other_user}","gists_url":"https://api.github.com/users/ElgersNiels/gists{/gist_id}","starred_url":"https://api.github.com/users/ElgersNiels/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/ElgersNiels/subscriptions","organizations_url":"https://api.github.com/users/ElgersNiels/orgs","repos_url":"https://api.github.com/users/ElgersNiels/repos","events_url":"https://api.github.com/users/ElgersNiels/events{/privacy}","received_events_url":"https://api.github.com/users/ElgersNiels/received_events","type":"User","site_admin":false},"labels":[],"state":"open","locked":false,"assignee":null,"milestone":null,"comments":0,"created_at":"2016-05-24T22:33:57Z","updated_at":"2016-05-24T22:33:57Z","closed_at":null,"body":"An optimal correlated equilibria is optimal according to some linear combination of all probabilities.\r\n\r\nCurrent linear combination:\r\nCoefficient of an outcome its probability variable is the sum of the payoff values for all players in that outcome. This way, the result from the LP will be the correlated equilibrium that is best for the group i.e. the sum of all players their expected payoff in the equilibrium is optimized.\r\n\r\nTO DO:\r\nLet user choose what linear combination to use.\r\n(e.g. maybe user is more interested in finding a correlated equilibrium where the expected payoff of a certain player is optimized instead of the full group. Another example could be that the user is interested in an correlated equilibrium where the probability of a certain outcome is optimized.)"}}
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