This is Part I of my Job Market paper, a characterization of correlation averse preferences in a risk setting (temporal lotteries). Part II is "Restricted Dynamic Consistency". Part III will cover the case of corrrelation aversion and ambiguity, to appear sometime in the future.
Provide the characterization of several convex pricing rules under the assumption of cash additivity.
We show that standard assumptions of recursivity of preferences imply constant absolute ambiguity aversion and derive a functional equation characterizing recursivity which we refer to as generalized rectangularity.
We provide representations theorems for preferences under basic assumptions on ambiguity attitudes without Schmeidler's notion of ambiguity, i.e. convexity of preferences.
Provide a theory of additive but non-monotone probability, i.e. probabilities with possibily negative values, in order to explain several puzzles in economics.
Study Mean Field Games with Stochastic differential utility to understand how equilibrium behavior changes in response to changes in risk aversion.
Develop nonlinear Sandwich Theorem and develop applications to mathematical finance.
Provide a game theoretic explanation of Strategic Ambiguity, that is deliberately creating uncertainty in Beijing and Taipei about whether the United States would intervene in a war, by means of the decision-theoretic notion of Ambiguity.