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| Publications [#379958] of Michael C. Munger
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- Riess, H; Henselman-Petrusek, G; Munger, MC; Ghrist, R; Bell, ZI; Zavlanos, MM, Network Preference Dynamics Using Lattice Theory,
Proceedings of the American Control Conference
(January, 2024),
pp. 2802-2808 [doi]
(last updated on 2026/01/15)
Abstract: Preferences, fundamental in all forms of strategic behavior and collective decision-making, in their raw form, are an abstract ordering on a set of alternatives. Agents, we assume, revise their preferences as they gain more information about other agents. Exploiting the ordered algebraic structure of preferences, we introduce a message-passing algorithm for heterogeneous agents distributed over a network to update their preferences based on aggregations of the preferences of their neighbors in a graph. We demonstrate the existence of equilibrium points of the resulting global dynamical system of local preference updates and provide a sufficient condition for trajectories to converge to equilibria: stable preferences. Finally, we present numerical simulations demonstrating our preliminary results.
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