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Stackelberg-Pareto Synthesis (Full Version) [article]

Véronique Bruyère, Jean-François Raskin, Clément Tamines
<span title="2021-05-04">2021</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We study the Stackelberg-Pareto Synthesis problem which asks whether Player 0 can announce a strategy which satisfies his objective, whatever the rational response of Player 1.  ...  Rationality of Player 1 is encoded by the fact that his response must produce a Pareto-optimal payoff given the strategy of Player 0.  ...  Stackelberg-Pareto Synthesis Problem Stackelberg-Pareto Games.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2102.08925v3">arXiv:2102.08925v3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5alfqi3ox5fzldmdvbcuc4qvp4">fatcat:5alfqi3ox5fzldmdvbcuc4qvp4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210506023557/https://arxiv.org/pdf/2102.08925v3.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/b0/0b/b00b0e7a264dbb20532e5dcff76be3bef2fa5586.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2102.08925v3" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Stackelberg-Pareto Synthesis (Extended Version) [article]

Véronique Bruyère, Baptiste Fievet, Jean-François Raskin, Clément Tamines
<span title="2022-03-02">2022</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We study for several kinds of ω-regular objectives the Stackelberg-Pareto Synthesis problem which asks whether Player 0 can announce a strategy which satisfies his objective, whatever the rational response  ...  Rationality of Player 1 is encoded by the fact that his response must produce a Pareto-optimal payoff given the strategy of Player 0.  ...  -FNRS), the ARC project Non-Zero Sum Game Graphs: Applications to Reactive Synthesis and Beyond (Fédération Wallonie-Bruxelles), the EOS project Verifying Learning Artificial Intelligence Systems (F.R.S  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2203.01285v1">arXiv:2203.01285v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/6ff7ej2cqzaxvbhnwcsigrfzwe">fatcat:6ff7ej2cqzaxvbhnwcsigrfzwe</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20220516075652/https://arxiv.org/pdf/2203.01285v1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/16/73/1673aa2f063f36862c1b6d48831d811e831b4850.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2203.01285v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Stackelberg-Pareto Synthesis

Véronique Bruyère, Jean-François Raskin, Clément Tamines, Serge Haddad, Daniele Varacca
<span title="2021-08-13">2021</span>
We study the Stackelberg-Pareto Synthesis problem which asks whether Player 0 can announce a strategy which satisfies his objective, whatever the rational response of Player 1.  ...  Rationality of Player 1 is encoded by the fact that his response must produce a Pareto-optimal payoff given the strategy of Player 0.  ...  Stackelberg-Pareto Synthesis Problem Stackelberg-Pareto Games.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4230/lipics.concur.2021.27">doi:10.4230/lipics.concur.2021.27</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/yeyuwuuv4zbwtkr7ggk3zxvhli">fatcat:yeyuwuuv4zbwtkr7ggk3zxvhli</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20211202213626/https://drops.dagstuhl.de/opus/volltexte/2021/14404/pdf/LIPIcs-CONCUR-2021-27.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/7f/20/7f206bc5817de8a7ff09ee75ffdec6b68a77ea2f.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4230/lipics.concur.2021.27"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Page 2250 of Mathematical Reviews Vol. , Issue 82e [page]

<span title="">1982</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
The objective function of the team problem is shown to be the cost function of the leader, so that the Stackelberg solution is an extreme Pareto-optimal solution to the leader’s advantage.  ...  Necessary and sufficient conditions for a properly efficient (Pareto minimum) point are given, along with relevant proofs. Michael Minkoff (Argonne, Ii.)  ... 
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Page 845 of Mathematical Reviews Vol. , Issue 80B [page]

<span title="">1980</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
The author considers the open-loop Stackelberg solution of a class of two-person dynamic games defined in discrete time.  ...  Vilkas (Vilnius) Dolezal, Jaroslav 80b:90160 Stackelberg solution concept for general multistage games. Kybernetika (Prague) 14 (1978), no. 5, 369-380.  ... 
<span class="external-identifiers"> </span>
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On the positivity of certain nonlinear time-varying operators

Y. Venkatesh
<span title="">1973</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tiaci7xy45hczhz755zlpu5h7q" style="color: black;">IEEE Transactions on Automatic Control</a> </i> &nbsp;
The examples further illustrat.e why the outer (position) loop of so many control systems is indeed unity and suggest the posible use of the generalized error coefficients in the synthesis of feedback  ...  Other cas-where minimax, Pareto, and Stackelberg st.rategies are used within each group can be similarly studied; however, this will not be done in this note.  ...  A Stackelberg Solution for Games with Many Players M . SIhIXAN AND J. B. CRUZ, J R . Abstract-The concept of Stackelberg solution is widened to include games with many leaders and many followers.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tac.1973.1100306">doi:10.1109/tac.1973.1100306</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/hrnijur6abgjbbhw37ffxqrx6i">fatcat:hrnijur6abgjbbhw37ffxqrx6i</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20181102025755/http://eprints.iisc.ernet.in/3637/1/positivity.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ba/2b/ba2b1516162489a74113b4e921e34db7d47afd5b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tac.1973.1100306"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Page 2690 of Mathematical Reviews Vol. , Issue 97D [page]

<span title="">1997</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Breitner, Synthesis of optimal strategies for differential games by neural networks (111-141); Y. Lipman and J.  ...  Gépfert, Multiplier rules for weak Pareto opimization problems (23-37); J. Hirche, Optimizing of sums and products of linear fractional functions under linear constraints (39-48); J.  ... 
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P-graph Approach to Solving a Class of Stackelberg Games in Carbon Management

Raymond R. Tan, Kathleen Aviso, Timothy Walmsley
<span title="">2021</span> <i title="AIDIC Servizi S.r.l."> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/5re6yojrfja7da72zowrdasgca" style="color: black;">Chemical Engineering Transactions</a> </i> &nbsp;
In this work, a P-graph based approach to solving a special class of Stackelberg game is developed.  ...  In game theory, a class of problems known as Stackelberg (or leader-follower) games can be used to model such government-industry interactions.  ...  The latter is a graph theoretic computing framework that was originally developed to solve Process Network Synthesis (PNS) problems in plant design.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3303/cet2189078">doi:10.3303/cet2189078</a> <a target="_blank" rel="external noopener" href="https://doaj.org/article/67f2796415a140608fa755f21d8cad4e">doaj:67f2796415a140608fa755f21d8cad4e</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/zevb5q3vejgvvbe4npeva3dq3a">fatcat:zevb5q3vejgvvbe4npeva3dq3a</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20220311150643/http://www.cetjournal.it/cet/21/89/078.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/b8/7a/b87adfc6acb093910a50575ea589e013ea40f911.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3303/cet2189078"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

The Adversarial Stackelberg Value in Quantitative Games [article]

Emmanuel Filiot and Raffaella Gentilini and Jean-François Raskin
<span title="2020-05-04">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
For the mean-payoff function, we show that the adversarial Stackelberg value is not always achievable but epsilon-optimal strategies exist.  ...  In this paper, we study the notion of adversarial Stackelberg value for two-player non-zero sum games played on bi-weighted graphs with the mean-payoff and the discounted sum functions.  ...  As already noted in [17] , this route is particularly interesting for applications in automatic synthesis.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2004.12918v2">arXiv:2004.12918v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rkhgaasdivbyldmu6nqcb5kjpi">fatcat:rkhgaasdivbyldmu6nqcb5kjpi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200824173610/https://arxiv.org/pdf/2004.12918v2.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/be/1d/be1dfdc89464f2ad9c28c77adc674cca99169315.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2004.12918v2" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Entropy-Guided Control Improvisation [article]

Marcell Vazquez-Chanlatte, Sebastian Junges, Daniel J. Fremont, Sanjit Seshia
<span title="2021-06-28">2021</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
High level declarative constraints provide a powerful (and popular) way to define and construct control policies; however, most synthesis algorithms do not support specifying the degree of randomness (  ...  Stackelberg games have been extending to Stackelberg planning [52] in which a trade-off between the cost for the defender and the attacker can be investigated.  ...  Closest to our work are formalisms rooted in game-theory, such as Stackelberg games [51, 45] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2103.05672v2">arXiv:2103.05672v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/sctbthsenrblnjg4flgduqczhy">fatcat:sctbthsenrblnjg4flgduqczhy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210701062732/https://arxiv.org/pdf/2103.05672v2.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/e7/f8/e7f80a9cfa02fa886a06217145e2c74860746935.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2103.05672v2" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Robust control of forward-looking models

Lars Peter Hansen, Thomas J. Sargent
<span title="">2003</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hmxgj5sydrdl5fixutly3bi43y" style="color: black;">Journal of Monetary Economics</a> </i> &nbsp;
This paper shows how to formulate and compute robust Ramsey (aka Stackelberg) plans for linear models with forward looking private agents.  ...  To compute a Stackelberg equilibrium we formulate a Bellman equation that is associated with an artificial singleagent robust control problem.  ...  Section 6 tells our plans to apply our equilibrium concept to 'new synthesis' macro models.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0304-3932(03)00026-6">doi:10.1016/s0304-3932(03)00026-6</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/cifpr5s54bdxvfhj6kv76xabne">fatcat:cifpr5s54bdxvfhj6kv76xabne</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170808222507/http://www.tomsargent.com/research/king6.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/db/be/dbbe561b51a361cf29d73ff9aa352062627c29a7.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0304-3932(03)00026-6"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Page 4678 of Mathematical Reviews Vol. , Issue 92h [page]

<span title="">1992</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
The definition of the so-called vector optimal guaranteed result (OGR) based on the no- tion of Pareto optimality is introduced.  ...  The best monetary policy under the Stackelberg and Nash equilibrium concepts is obtained. Some examples are presented. {For the entire collection see MR 92b:90006.} E.  ... 
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The elementary economics of social dilemmas

B. Curtis Eaton
<span title="">2004</span> <i title="Wiley"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/odmctap4anhjzp5pmgazhmpks4" style="color: black;">Canadian Journal of Economics</a> </i> &nbsp;
I discuss a number of social dilemmas that have caught my attention, offer an elementary, diagrammatic synthesis of them, and discuss some of the economic insights that the diagrams capture, including  ...  The synthesis is in the diagrams, and as many of you will quickly see, I am not the first person to construct many of them.  ...  The equilibrium pictured in Figure 2 is not Pareto-optimal, since strategy combinations in the shaded area northeast of the equilibrium Pareto-dominate the equilibrium.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1111/j.0008-4085.2004.00249.x">doi:10.1111/j.0008-4085.2004.00249.x</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/4fra7vyd5jgqzciyzbaosfe2km">fatcat:4fra7vyd5jgqzciyzbaosfe2km</a> </span>
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Building a model of supply chains duopoly taking into account the marketing and innovative activities of manufacturing enterprises

Yuliia Kurudzhy, Iryna Mayorova, Iryna Moskvichenko
<span title="2022-04-28">2022</span> <i title="Private Company Technology Center"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/l2suv73qxjf5jk3mi4shll66pm" style="color: black;">Eastern-European Journal of Enterprise Technologies</a> </i> &nbsp;
As a result of this study, equilibrium solutions of the duopoly according to Cournot and Stackelberg were found.  ...  For example, in work [1] , linear models of competition in the supply chain are considered, and finding Pareto equilibrium is reduced to solving a linear system.  ...  This gives grounds to assert that it is advisable to conduct a study into the economic and mathematical models of competition based on the synthesis of the innovation policy of enterprises, as well as  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.15587/1729-4061.2022.253821">doi:10.15587/1729-4061.2022.253821</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/57dxzj2bkjagbhuarmrd7q2v5y">fatcat:57dxzj2bkjagbhuarmrd7q2v5y</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20220524010404/http://journals.uran.ua/eejet/article/download/253821/252938" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ee/22/ee22f712af1b1dfb8f0cd8477c5ca7c0d53379de.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.15587/1729-4061.2022.253821"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Page 345 of Mathematical Reviews Vol. 56, Issue 1 [page]

<span title="">1978</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Lin, Three methods for determining Pareto-optimal solutions of multiple-objective prob- lems (pp. 117-138); J. B.  ...  ., Stackelberg strategies for multilevel systems (pp. 139-147); Theodore Groves, Incentive compatible control of decentralized organizations (pp. 149-185); Geert Jan Olsder, Some thoughts about simple  ... 
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