I’ve to work late every Saturday night. Peter So, I need to have a good sleep every Sunday morning. Sunday is our family day! Lee’s family We used to playing on the playground on every Sunday morning. Suppose there’re only 5 hours in the morning , the transaction cost is 0…. Since the property right of a silent environment in the playground is not well-defined, so they don’t care about each other and the LEEs play all the 5 hours in the Sunday morning. Peter can’t stand with the noise of the LEEs… So, he writes a letter to the Lee’s family. Dear Lee's family, I really can’t sleep on Sunday morning with the noise made by your children. I’m willing to pay you money for giving me silent morning on Sunday. Your neighbour, Peter The Lee’s family also write a letter to Peter. Dear Peter, We’re sorry. But we’re also willing to pay you money for letting us play on the playground on every Sunday morning. Your neighbour, Lee’s family If the property right of a silent environment in the playground is given to Peter, he can sleep 5 hours in the Sunday morning. But his neighbour will try to negotiate with him by paying money to him as compensation, then … … Hours 1st 2nd 3rd 4th 5th Marginal Private Benefit of sleeping (Peter) Maximum amount willing to pay for playing on the playground (Lee’s family) $ 500 $ 50 $ 30 $ 20 $ 400 $ 50 $ 40 $0 $ 30 $ 20 MPB (min. amt. need to receive) of Peter to sleep Min. < Max. in the 5th hour : $0 Lee’s family’s max. amt. willing to pay for playing the 1st hour on the playground : $400 Hours 1st 2nd 3rd 4th 5th Marginal Private Benefit of sleeping (Peter) Maximum amount willing to pay for playing on the playground (Lee’s family) $ 500 $ 50 $ 30 $ 20 $ 400 $ 50 $ 40 $0 $ 30 $ 20 MPB (min. amt. need to receive) of Peter to sleep Min.<Max. in the 4th hour : $20 Lee’s family’s max. amt. willing to pay for playing the 2nd hour on the playground : $50 Hours 1st 2nd 3rd 4th 5th Marginal Private Benefit of sleeping (Peter) Maximum amount willing to pay for playing on the playground (Lee’s family) $ 500 $ 50 $ 30 $ 20 $ 400 $ 50 $ 40 $0 $ 30 $ 20 MPB (min. amt. need to receive) of Peter to sleep Min. < Max. in the 3rd hour : $30 Lee’s family’s max. amt. willing to pay for playing the 3rd hour on the playground : $40 Hours 1st 2nd 3rd 4th 5th Marginal Private Benefit of sleeping (Peter) Maximum amount willing to pay for playing on the playground (Lee’s family) $ 500 $ 50 $ 30 $ 20 $ 400 $ 50 $ 40 $0 $ 30 $ 20 MPB (min. amt. need to receive) of Peter to sleep Max. < Min. in the 2nd hour : $50 Lee’s family’s max. amt. willing to pay for playing the 4th hour on the playground : $30 Hours 1st 2nd 3rd 4th 5th Marginal Private Benefit of sleeping (Peter) Maximum amount willing to pay for playing on the playground (Lee’s family) $ 500 $ 50 $ 30 $ 20 $ 400 $ 50 $ 40 $0 $ 30 $ 20 MPB (min. amt. need to receive) of Peter to sleep Max. < Min. in the 1st hour : $500 Lee’s family’s max. amt. willing to pay for playing the 5th hour on the playground : $20 When the property right of a silent environment in the playground is given to Peter, after negotiation, Peter will sleep 2 hours while the Lee’s family will play 3 hours on Sunday morning. If the property right of a silent environment in the playground is given to the Lee’s family, they will play 5 hours in the Sunday morning. But Peter must negotiate with them by paying money to them as compensation. Then … … Hours Maximum amount willing to pay for sleeping (Peter) Marginal Private Benefit of playing on the playground (Lee’s family) 1st 2nd 3rd 4th 5th $ 500 $ 50 $ 30 $ 400 $ 50 $ 40 $ 30 $ 20 $ 20 $0 Peter’s max. amt. willing to pay for sleeping in the 1st hour : $500 Max.> MPB (min. amt. need to receive) of the Lee’s family Min. th for not playing in the playground in the 5 hour : $20 Hours Maximum amount willing to pay for sleeping (Peter) Marginal Private Benefit of playing on the playground (Lee’s family) 1st 2nd 3rd 4th 5th $ 500 $ 50 $ 30 $ 400 $ 50 $ 40 $ 30 $ 20 $ 20 $0 Peter’s max. amt. willing to pay for sleeping in the 2nd hour : $50 MPB (min. amt. need to receive) of the Lee’s family for not playing in the playground in the 4th hour : $30 Max. > Min. Hours Maximum amount willing to pay for sleeping (Peter) Marginal Private Benefit of playing on the playground (Lee’s family) 1st 2nd 3rd 4th 5th $ 500 $ 50 $ 30 $ 400 $ 50 $ 40 $ 30 $ 20 $ 20 $0 Peter’s max. amt. willing to pay for sleeping in the 3rd hour : $30 Min. > MPB (min. amt. need to receive) of the Lee’s family Max. rd for not playing in the playground in the 3 hour : $40 Hours Maximum amount willing to pay for sleeping (Peter) Marginal Private Benefit of playing on the playground (Lee’s family) 1st 2nd 3rd 4th 5th $ 500 $ 50 $ 30 $ 400 $ 50 $ 40 $ 30 $ 20 $ 20 $0 Peter’s max. amt. willing to pay for sleeping in the 4th hour : $20 Min. > MPB (min. amt. need to receive) of the Lee’s family Max. nd for not playing in the playground in the 2 hour : $50 Hours Maximum amount willing to pay for sleeping (Peter) Marginal Private Benefit of playing on the playground (Lee’s family) 1st 2nd 3rd 4th 5th $ 500 $ 50 $ 30 $ 400 $ 50 $ 40 $ 30 $ 20 $ 20 $0 Peter’s max. amt. willing to pay for sleeping in the 5th hour : $0 Min. > MPB (min. amt. need to receive) of the Lee’s family for Max. st not playing in the playground in the 1 hour : $400 When the property rights of the playground is given to the Lee’s family, The Lee’s family will play 3 hours while Peter will sleep 2 hours on Sunday morning. 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