Measurement and Application of Entropy Production in Human Subject Social Interaction Systems

Abstract

Entropy production (EP) serves as a central observable in many chemical, thermodynamical, biological and ecological systems. This paper illustrates, firstly, the measurement and the applications of the observable EP in human subject social interaction systems. To this end, with EP, we show (1) how to test the minimax randomization model with experimental 2x2 games data and with Wimbledon Tennis data; (2) how to identify the Edgeworth price cycle efficiently in experimental market data; and (3) the relationship within EP and motion obtained in experimental data. The results are significant. The conclusions are (1) EP can be measured and (2) EP can serve as an observable at speaking to theorists and searching for facts in social interaction systems.

Keywords: entropy production, experimental economics, game theory, time reversal symmetry, minimax, Edgeworth price cycle, velocity