Amir H. Darooneh

Sufi Institute, P.O.Box 45195-1547, Zanjan, Iran
and
Department of Physics, Zanjan University, P.O.Box 45196-313, Zanjan, Iran.
E-mail: [email protected]

Received: 4 December 2005 / Accepted: 30 January 2006 / Published: 31 January 2006

Abstract: Recently we used the maximum entropy principle for finding the price density in a multi agent insurance market. The result is similar to what the Buhlmann had obtained by maximizing the utility function. Here we begin with the price density that is derived by applying the maximum entropy principle to a conservative economic system (exchange market), then reverse the Buhlmann calculation to find the utility function and the risk aversion of agents with respect to this density.

Keywords: utility function; price density; maximum entropy principle; risk aversion.

PACS codes: 89.65.Gh, 05.20.-y