Police want to trace two men after three fires in Hednesford, Staffordshire.
The owner of a hairdresser's has offered a £500 reward after their premises was damaged by smoke on 21 May when a bin was set alight.
A car was also found burnt out near Market Street on the same night.
Items left out for recycling were also set alight on the driveway of a house in Station Road, causing damage estimated at about £3,000 to a caravan.
The reward is for information leading to the arrest and conviction of the person responsible, police said.
"Officers are trying to trace two males seen in the area," the spokesman added.
"One was wearing a dark hooded jacket, white trainers and possibly jeans.
"The other was wearing a white or light-coloured top and had a black rucksack."
Anyone with information about the incidents is asked to contact officers.