Position of railway passenger transport companies on current liberalized transport market

Market liberalization is a great contemporary trend in many fields of economy. Liberalized transport market, where the transport demand is meeting with transport offer, is evolving dynamically. Private railway passenger operators want to increase their market share together with national railway passenger transport companies therefore the quality of passenger transportation is getting higher, which positively influences the attractiveness of railway passenger transport. The article is focused on these current trends of liberalization in railway passenger transport market. From operational and economical point of view, there are described some ways, how to make the railway passenger transport system more effective and make the entire transport system more attractive for traveling public.