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Stopping games in continuous time

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Rida Laraki (CNRS, Ecole Polytechnique), Eilon Solan (Northwestern University, Tel Aviv University)

Optimization and Control · Submitted 19 Jun 2003

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We prove that the value in randomized stopping times exists as soon as the payoff processes are right-continuous.

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arXiv IDmath/0306279 (version 1)
Pith IDBX3CJ2BI, Pith's permanent record of this paper and its review
CitationEcole Polytechnique), Eilon Solan (Northwestern University, Rida Laraki (CNRS, Tel Aviv University). "Stopping games in continuous time." arXiv:math/0306279 (2003). https://pith.science/paper/BX3CJ2BI
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,506 input tokens.

What the abstract itself states, as probabilities: claims first 0.15 · states limitation 0.17 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.02 · states quantitative result 0.10 · compares with prior results 0.91 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We study two-player zero-sum stopping games in continuous time and infinite horizon. We prove that the value in randomized stopping times exists as soon as the payoff processes are right-continuous. In particular, as opposed to existing literature, we do not assume any conditions on the relations between the payoff processes. We also show that both players have simple epsilon- optimal randomized stopping times; namely, randomized stopping times which are small perturbations of non-randomized stopping times.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We study two-player zero-sum stopping games in continuous time and infinite horizon. contribution 0.52 0.86 0.05 asserted 0.86
s1 We prove that the value in randomized stopping times exists as soon as the payoff processes are right-continuous. result 0.99 0.96 0.75 asserted 1.00
s2 In particular, as opposed to existing literature, we do not assume any conditions on the relations between the payoff processes. contribution 0.60 0.82 0.13 asserted 1.00
s3 We also show that both players have simple epsilon- optimal randomized stopping times; namely, randomized stopping times which are small perturbations of non-randomized stopping times. result 0.99 0.96 0.19 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

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  • full text
  • figures and tables
  • references and citing sentences
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We study two-player zero-sum stopping games in continuous time and infinite horizon. We prove that the value in randomized stopping times exists as soon as the payoff processes are right-continuous. In particular, as opposed to existing literature, we do not assume any conditions on the relations between the payoff processes. We also show that both players have simple epsilon- optimal randomized stopping times; namely, randomized stopping times which are small perturbations of non-randomized stopping times.

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