Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20130719 01:07:47
Public Goods Problem  Game TheorySue and Pete are playing Prisoner's Dilemma with the payoffs from the table below. If both of them cooperate, each will get a bonus of 2A (the public good), if only one cooperates, each will get A, and if no one cooperates there is no bonus. Sue calculated that Pete will cooperate with probability p=0.3. What should be the value of the award A so that Sue is indifferent between cooperating and defecting? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #2 20130719 22:40:23
Re: Public Goods Problem  Game TheoryHave a look at https://brilliant.org/competitions/hung … ing/#mixed 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #3 20130720 01:33:32
Re: Public Goods Problem  Game TheoryHi Agnishom; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #4 20130720 02:05:37
Re: Public Goods Problem  Game TheoryThanks 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda 