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20102026
most citedOn time-inconsistent stopping problems and mixed strategy stopping times

48 citations · 207 across the 31 of their papers we have counts for

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Showing 2019Show all

8 papers · 1 filter

math.PR2019

Note on the (non-)smoothness of discrete time value functions

Simon Fischer, Sören Christensen

We consider the discrete time stopping problem \[ V(t,x) = \sup_τE_{(t,x)}[g(τ, X_τ)],\] where is a random walk. It is well known that the value function is in general not…

math.OC2019

Moment constrained optimal dividends: precommitment \& consistent planning

Sören Christensen, Kristoffer Lindensjö

A moment constraint that limits the number of dividends in the optimal dividend problem is suggested. This leads to a new type of time-inconsistent stochastic impulse control probl…

math.OC2019

Time-inconsistent stopping, myopic adjustment & equilibrium stability: with a mean-variance application

Sören Christensen, Kristoffer Lindensjö

For a discrete time Markov chain and in line with Strotz' consistent planning we develop a framework for problems of optimal stopping that are time-inconsistent due to the consider…

math.PR2019

A Solution Technique for Lévy Driven Long Term Average Impulse Control Problems

Sören Christensen, Tobias Sohr

This article treats long term average impulse control problems with running costs in the case that the underlying process is a Lévy process. Under quite general conditions we chara…

math.OC2019★ 4 cited

Nonparametric learning for impulse control problems

Sören Christensen, Claudia Strauch

One of the fundamental assumptions in stochastic control of continuous time processes is that the dynamics of the underlying (diffusion) process is known. This is, however, usually…

math.PR2019★ 1 cited

On the Sn/n-Problem

Sören Christensen, Simon Fischer

The Chow-Robbins game is a classical still partly unsolved stopping problem introduced by Chow and Robbins in 1965. You repeatedly toss a fair coin. After each toss, you decide if…

math.PR2019

A Class of Solvable Multidimensional Stopping Problems in the Presence of Knightian Uncertainty

Luis H. R. Alvarez E., Sören Christensen

We investigate the impact of Knightian uncertainty on the optimal timing policy of an ambiguity averse decision maker in the case where the underlying factor dynamics follow a mult…

q-fin.MF2019

A Solvable Two-dimensional Optimal Stopping Problem in the Presence of Ambiguity

Sören Christensen, Luis H. R. Alvarez E

According to conventional wisdom, ambiguity accelerates optimal timing by decreasing the value of waiting in comparison with the unambiguous benchmark case. We study this mechanism…