Yes. Research on PWYW includes:
Gneezy, A, Gneezy, U, Nelson, L. D., & Brown, A. (2010). Shared social responsibility: A field experiment in Pay-What-You-Want pricing and charitable giving. Science 329 , 325.
Weisstein, F. L., Kukar-Kinney, M., & Monroe, K. B. (2016). Determinants of consumers’ response to pay-what-you-want pricing strategy on the Internet. Journal of Business Research, 69, 4313-4320.
Bottom line: People pay what should be payed, considering social circumstances.