Von Neumann-Morgenstern function

What are the general characteristics of a Von Neumann-Morgenstern utility function?

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Choice under uncertainty - (a)Explain what it means that a consumer has preferences over lotteries (in particular, define lotteries). (b)Explain what it means that the preference relation has a utility function representat ...
Risk, uncertainty and information - 1- An agent, with wealth 50, faces a probability 0.2 of a loss 35. The agent is offered insurance at a premium rate of 0.25. The agent has the von Neumann-Morgenstern utility function, u=lnx, where x ...
Risk Aversion - Please see the attached file for full problem description. --- Define Risk Aversion. Consider a risk-averse von Neumann-Morgenstern individual having wealth w who must decide whether to accept or ...
Given that the Arrow-Pratt measure of absolute risk-aversion is a constant, derive the corresponding form of the von Neumann-Morgenstern utility function. - This is a classic graduate/advanced undergraduate level problem in microeconomics/finance. It asks to calculate utility function that corresponds to a constant Arrow-Pratt measure of absolute risk-ave ...
Calculating maximum insurance premium given a von Neumann-Morgenstern utility function. - 1. Consider a von Neumann-Morgenstern individual whose utility function is logarithmic, i.e. u(w)=ln(w), where w is wealth. Given that the individual faces the prospect of gaining or losing an amount ...