RDP 2009-02: Competition Between Payment Systems Equation (19)

U i , j ; j c = M { h i c D i , ~ j m + h j c D j , ~ i m + h j c D i , j m } f i c f j c = M { h j c D j m + h i c D i , ~ j m f i c / M f j c / M } . MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGceaqabeaacaWGvb Waa0baaSqaaiaadMgacaGGSaGaamOAaiaacUdacaWGQbaabaGaam4y aaaakiabg2da9iaad2eadaGadaqaaiaadIgadaqhaaWcbaGaamyAaa qaaiaadogaaaGccaWGebWaa0baaSqaaiaadMgacaGGSaGaaiOFaiaa dQgaaeaacaWGTbaaaOGaey4kaSIaamiAamaaDaaaleaacaWGQbaaba Gaam4yaaaakiaadseadaqhaaWcbaGaamOAaiaacYcacaGG+bGaamyA aaqaaiaad2gaaaGccqGHRaWkcaWGObWaa0baaSqaaiaadQgaaeaaca WGJbaaaOGaamiramaaDaaaleaacaWGPbGaaiilaiaadQgaaeaacaWG TbaaaaGccaGL7bGaayzFaaGaeyOeI0IaamOzamaaDaaaleaacaWGPb aabaGaam4yaaaakiabgkHiTiaadAgadaqhaaWcbaGaamOAaaqaaiaa dogaaaaakeaacqGH9aqpcaWGnbWaaiWaaeaacaWGObWaa0baaSqaai aadQgaaeaacaWGJbaaaOGaamiramaaDaaaleaacaWGQbaabaGaamyB aaaakiabgUcaRiaadIgadaqhaaWcbaGaamyAaaqaaiaadogaaaGcca WGebWaa0baaSqaaiaadMgacaGGSaGaaiOFaiaadQgaaeaacaWGTbaa aOGaeyOeI0IaamOzamaaDaaaleaacaWGPbaabaGaam4yaaaakiaac+ cacaWGnbGaeyOeI0IaamOzamaaDaaaleaacaWGQbaabaGaam4yaaaa kiaac+cacaWGnbaacaGL7bGaayzFaaGaaiOlaaaaaa@8103@