Financial/Actuarial Mathematics Seminar
A Time-Inconsistent Dynkin Game: from Intra-personal to Inter-personal Equilibria
Wednesday, February 24, 2021
4:00-5:00 PM
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Off Campus Location
This paper studies a nonzero-sum Dynkin game in discrete time under non-exponential discounting. For both players, there are two levels of game-theoretic reasoning intertwined. First, each player looks for an intra-personal equilibrium among her current and future selves, so as to resolve time inconsistency triggered by non-exponential discounting. Next, given the other player's chosen stopping policy, each player selects a best response among her intra-personal equilibria. A resulting inter-personal equilibrium is then a Nash equilibrium between the two players, each of whom employs her best intra-personal equilibrium with respect to the other player's stopping policy. Under appropriate conditions, we show that an inter-personal equilibrium exists, based on concrete iterative procedures along with Zorn's lemma. To illustrate our theoretic results, we investigate a two-player real options valuation problem: two firms negotiate a deal of cooperation to initiate a project jointly. By deriving inter-personal equilibria explicitly, we find that coercive power in negotiation depends crucially on the impatience levels of the two firms.
Speaker(s): Yu-Jui Huang (University of Colorado - Boulder)
Speaker(s): Yu-Jui Huang (University of Colorado - Boulder)
Building: | Off Campus Location |
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Location: | Virtual |
Event Type: | Workshop / Seminar |
Tags: | Mathematics |
Source: | Happening @ Michigan from Department of Mathematics, Financial/Actuarial Mathematics Seminar - Department of Mathematics |