Don't really need such a high budget if you are only playing Dota 2 

Can consider these, still very powerful notebooks haha, probably can even support Dota 3 if there is one

14"

14"
Acer
V5-473PG-54204G50, i5-4200U + Nvidia GT740M +(1366x768;touch)@RM2299, 4GB, 500GB,W8 *no OD

Asus
K451LB-WX071H, i5-4200U + Nvidia GT740M@RM2299, 4GB, 750GB, W8

Dell
Inspiron 14R, i5-4200U + Nvidia GT740M@RM1849 [2.32kg], 4GB, 500GB(5400rpm), Linux, 6 cell; W8@RM2049
Inspiron 14R, i5-4200U + Nvidia GT740M + (1366x768, Touch) @RM2299 [2.32kg], 4GB, 500GB(5400rpm), W8 , 6 cell

HP
Pavilion 14-N059TX, i5-4200U + Nvidia GT740M@RM2099[2.03kg], 4GB, 750GB, W8; colors: silver/black
Pavilion 14-N223TX, i5-4200U + Nvidia GT740M + (1366x768; touch)@RM2399[2.03kg], 4GB, 750GB, W8.1; colors: silver/black

Lenovo
Z400 touch, i5-3230M + Nvidia GT740M + (1366x768, touch)@RM2399, 4GB, 1TB, W8; 2 years warranty
Y410p, i7-4700MQ + Nvidia GT755M(GDDR5)@RM3199, 8GB, 1TB, W8.1, red backlit, 120w psu, swappable ODD, 2 years warranty

Sony
Vaio SVF14318SG, i5-4200U + Nvidia GT740M + (1366x768;touch)@RM2399, 4GB, 500GB, W8SL; colors: white

Toshiba
Satelite L40-AS125XG/B/W, i5-4200U + Nvidia GT740M@RM2299[Onkyo], 2GB, 750GB, 3 years local warranty, W8; colors: Gold/blue/white
15.6"
Asus S551LB-CJ120H, i5-4200U + Nvidia GT740M@RM2599[2.4kg], 4GB, 750GB, W8, 3-cell

Dell Inspiron 15 7000, i5-4200U + Nvidia GT750M (GDDR5) + (1366x768; Touch)@RM2899[2.6kg], 6GB, 750GB(5400rpm), W8.1SL, backlit keyboard, 58Whr

Lenovo Z510T, i5-4200U + Nvidia GT740M + (1366x768, touch)@RM2599[2.2kg], 4GB, 1TB, backlit, W8; 2 yrs

MSI GE60-2OC, i5-4200M + Nvidia GT750M(GDDR5) + (1920x1080; anti-glare)@RM3099, 8GB, 750GB(7200rpm), W8, steel series KB

Toshiba Satelite L50-A107X/XW, i5-4200U + Nvidia GT740M@RM2499[Onkyo], 4GB, 1TB, W8; colors: Silver/white
* Prices in RRP, negotiable
* extend warranty to 3 years with remaining budget (if applicable)

Nope