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(No-)Betting Pareto Optima Under Rank-Dependent Utility
Journal article   Peer reviewed

(No-)Betting Pareto Optima Under Rank-Dependent Utility

Patrick Beissner, Tim Boonen and Mario Ghossoub
Mathematics of operations research, Vol.49(3), pp.1452-1471
08/01/2024
DOI: 10.1287/moor.2022.0317

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Abstract

In a pure-exchange economy with no aggregate uncertainty, we characterize in closed form and full generality Pareto-optimal allocations between two agents who maximize (nonconcave) rank-dependent utilities (RDU). We then derive a necessary and sufficient condition for Pareto optima to be no-betting allocations (i.e., deterministic allocations or full insurance allocations). This condition depends only on the probability weighting functions of the two agents and not on their (concave) utility of wealth. Hence, with RDU preferences, it is the difference in probabilistic risk attitudes given common beliefs rather than heterogeneity or ambiguity in beliefs that is a driver of betting behavior. As by-product of our analysis, we answer the question of when sunspots matter in this economy.
Mathematics Mathematics, Applied Operations Research & Management Science Physical Sciences Science & Technology Technology

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