Basic Concepts Requester 1 T3. A set of requesters/tasks R, for Trip distance dr(km)1.3.7 1 achr∈R ● origin or destination des private valuation vr($/km) accepts a unit price p if vr>p r2(26 k(15)wr(3,5) W2C5) A set of workers w for eachwew ●| ocation l 3653) adis a 01234 678
1 2 3 4 5 1 2 3 4 5 0 X Y 6 7 8 6 7 8 ⚫ A set of requesters/tasks 𝑹 , for each 𝒓 ∈ 𝑹: ⚫ origin 𝒐𝒓𝒊𝒓 ⚫ destination 𝒅𝒆𝒔𝒓 ⚫ private valuation 𝒗𝒓 （$/km） o accepts a unit price 𝒑 if 𝒗𝒓 > 𝒑 ⚫ A set of workers 𝑾, for each 𝒘 ∈ 𝑾: ⚫ location 𝒍𝒘 ⚫ radius 𝒂𝒘 𝒓𝟐(𝟐,𝟔) 𝒓𝟑(𝟓,𝟓) Requester 𝒓𝟏 𝒓𝟐 𝒓𝟑 Trip distance 𝒅𝒓 (km) 1.3 0.7 1 𝒘𝟏(𝟑,𝟓) 𝒘𝟐(𝟕,𝟓) 𝒘𝟑(𝟓,𝟑) 𝒓𝟏(𝟏,𝟓) Basic Concepts
Basic Concepts Requester 1T2T3 Goal: platforms set prices to Trip distance d,(km)1.3.7 1 maximize the total revenue! The revenue of request r is drp Platform sets the same (unit) price p for requesters in the same grid g 15 16 U BER 6 r3(55 r015)w735 w2(,5) 3) 01234 678X
1 2 3 4 5 1 2 3 4 5 0 X Y 6 7 8 6 7 8 Basic Concepts 𝒓𝟏(𝟏,𝟓) 𝒓𝟐(𝟐,𝟔) 𝒓𝟑(𝟓,𝟓) ⚫ The revenue of request 𝒓 is 𝒅𝒓𝒑 ⚫ Platform sets the same (unit) price 𝒑 for requesters in the same grid 𝒈 𝒘𝟏(𝟑,𝟓) 𝒘𝟐(𝟕,𝟓) 𝒘𝟑(𝟓,𝟑) 𝟏 𝟓 𝟗 𝟏𝟑 𝟐 𝟑 𝟒 𝟔 𝟕 𝟖 10 𝟏𝟏 𝟏𝟐 14 𝟏5 𝟏6 Goal: platforms set prices to maximize the total revenue! Requester 𝒓𝟏 𝒓𝟐 𝒓𝟑 Trip distance 𝒅𝒓 (km) 1.3 0.7 1
Basic Concepts Requester 1T2T3 Goal: platforms set prices to Trip distance d,(km)1.3.7 1 maximize the total revenue! i Platform i $3/km r(15)wr35) W2(5) 3) 012345678X
Platform 1 2 3 4 5 1 2 3 4 5 0 X Y 6 7 8 6 7 8 Basic Concepts 𝒓𝟏(𝟏,𝟓) 𝒓𝟐(𝟐,𝟔) 𝒓𝟑(𝟓,𝟓) 𝒘𝟏(𝟑,𝟓) 𝒘𝟐(𝟕,𝟓) 𝒘𝟑(𝟓,𝟑) 𝑟1 𝑟2 𝑟3 𝑤1 𝑤2 𝑤3 $3/km Goal: platforms set prices to maximize the total revenue! Requester 𝒓𝟏 𝒓𝟐 𝒓𝟑 Trip distance 𝒅𝒓 (km) 1.3 0.7 1
Basic Concepts Requester 1T2T3 Goal: platforms set prices to Trip distance d,(km)1.3.7 1 maximize the total revenue! i Platform I $3/km 2(6) (5 r4(15 3,5 $2/km 3s53) 012345678X
Platform 1 2 3 4 5 1 2 3 4 5 0 X Y 6 7 8 6 7 8 Basic Concepts 𝒓𝟏(𝟏,𝟓) 𝒓𝟐(𝟐,𝟔) 𝒓𝟑(𝟓,𝟓) 𝒘𝟏(𝟑,𝟓) 𝒘𝟐(𝟕,𝟓) 𝒘𝟑(𝟓,𝟑) 𝑟1 𝑟2 𝑟3 𝑤1 𝑤2 𝑤3 $3/km $2/km Goal: platforms set prices to maximize the total revenue! Requester 𝒓𝟏 𝒓𝟐 𝒓𝟑 Trip distance 𝒅𝒓 (km) 1.3 0.7 1
Basic Concepts Requester 1T2T3 Goal: platforms set prices to Trip distance d,(km)1.3.7 1 maximize the total revenue! Wn,>3 71 $3/km v<3 2(6) (55 r(15)w735) W2(5) $2/km 3) Decision 01234 678X
Basic Concepts 1 2 3 4 5 1 2 3 4 5 0 X Y 6 7 8 6 7 8 𝒓𝟏(𝟏,𝟓) 𝒓𝟐(𝟐,𝟔) 𝒓𝟑(𝟓,𝟓) 𝒘𝟏(𝟑,𝟓) 𝒘𝟐(𝟕,𝟓) 𝒘𝟑(𝟓,𝟑) 𝑟1 𝑟2 𝑟3 𝑤1 𝑤2 𝑤3 $3/km $2/km Decision 𝑣𝑟1 > 3 𝑣𝑟3 > 2 Goal: platforms set prices to maximize the total revenue! 𝑣𝑟2 < 3 Requester 𝒓𝟏 𝒓𝟐 𝒓𝟑 Trip distance 𝒅𝒓 (km) 1.3 0.7 1