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Pareto Optimal Allocation under Uncertain Preferences [article]

Haris Aziz and Ronald de Haan and Baharak Rastegari
2016 arXiv   pre-print
How to compute an assignment with the highest probability of being Pareto optimal? What is the complexity of computing the probability that a given assignment is Pareto optimal?  ...  Does there exist an assignment that is Pareto optimal with probability one?  ...  ] , there has not been much work on Pareto optimal under uncertain preferences.  ... 
arXiv:1609.02795v2 fatcat:45suawnlc5f5nj3halezl4cdem

Pareto Optimal Allocation under Uncertain Preferences

Haris Aziz, Ronald de Haan, Baharak Rastegari
2017 Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence  
How to compute an assignment with the highest probability of being Pareto optimal? What is the complexity of computing the probability that a given assignment is Pareto optimal?  ...  Does there exist an assignment that is Pareto optimal with probability one?  ...  Contributions We initiate the first study of computational aspects of Pareto optimal allocation under uncertain preferences.  ... 
doi:10.24963/ijcai.2017/12 dblp:conf/ijcai/0001HR17 fatcat:ahgufohuvfcgvepontnp7nmnzm

Pareto Optimal Allocation under Compact Uncertain Preferences

Haris Aziz, Peter Biro, Ronald De Haan, Baharak Rastegari
2019 PROCEEDINGS OF THE THIRTIETH AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE AND THE TWENTY-EIGHTH INNOVATIVE APPLICATIONS OF ARTIFICIAL INTELLIGENCE CONFERENCE  
We consider several interesting computational questions with regard to Pareto optimal assignments.  ...  In this paper, we focus on three uncertain preferences models whose size is polynomial in the number of agents and items.  ...  Péter Biró is supported by the Hungarian Academy of Sciences under its Momentum Programme (LP2016-3/2018) and Cooperation of Excellences Grant (KEP-6/2018), and by the Hungarian Scientific Research Fund  ... 
doi:10.1609/aaai.v33i01.33011740 fatcat:vrcvfv5cybg5vhcpo47ipnak2e

Uncertainty and Risk in Financial Markets

Luca Rigotti, Chris Shannon
2005 Econometrica  
In this setting, we characterize Pareto optima and equilibria, and show that the presence of uncertainty generates robust indeterminacies in equilibrium prices and allocations for any specification of  ...  Finally, we give conditions under which some assets are not traded due to uncertainty aversion. JEL Codes: D0, D5, D8, G1  ...  Thus a full insurance allocation is Pareto optimal under MEU preferences if and only if it is Pareto optimal under incomplete preferences.  ... 
doi:10.1111/j.1468-0262.2005.00569.x fatcat:qz3ht2yupvanrko7sktkv57ybi

An Efficient Protocol for Negotiation over Multiple Indivisible Resources

Sabyasachi Saha, Sandip Sen
2007 International Joint Conference on Artificial Intelligence  
It is difficult to reach optimal outcomes in bilateral or multi-lateral negotiations over multiple resources when the agents' preferences for the resources are not common knowledge.  ...  We study the problem of autonomous agents negotiating the allocation of multiple indivisible resources.  ...  Existing research have focused on identifying necessary exchanges, under complete information, to reach Pareto optimal solution from an initial allocation.  ... 
dblp:conf/ijcai/SahaS07 fatcat:q6syqnrgbjclpdto5n3gu3qwue

DeepVentilation: Learning to Predict Physical Effort from Breathing

Sagar Sen, Pierre Bernabé, Erik Johannes B.L.G. Husom
2020 Proceedings of the Twenty-Ninth International Joint Conference on Artificial Intelligence  
Under such dynamic preferences, is the optimal mechanism still manipulationresistant? If not, can we find approximation mechanisms?  ...  We proposed a domain of agents' preferences called top-only preferences and showed that under the domain, there is an exchange mechanism that is truthful, individually rational, and Pareto efficient.  ... 
doi:10.24963/ijcai.2020/730 dblp:conf/ijcai/Todo20 fatcat:w43fsp4qhreozhfgxvrycsha34

Robust optimization of the multi-objective multi-period location-routing problem for epidemic logistics system with uncertain demand

Shengjie Long, Dezhi Zhang, Yijing Liang, Shuangyan Li, Wanru Chen
2021 IEEE Access  
logistics, with uncertain scenarios.  ...  To solve the above optimization model, a preference-inspired co-evolutionary algorithm with Tchebycheff decomposition (PICEA-g-td) is given.  ...  In this concept, a family of decision-maker preferences is co-evolved with candidate solutions to converge towards the Pareto front. Wang et al.  ... 
doi:10.1109/access.2021.3125746 fatcat:3x2fz6oucran3pb56bt5fsltaq

Uncertain multiobjective redundancy allocation problem of repairable systems based on artificial bee colony algorithm

Jiansheng Guo, Zutong Wang, Mingfa Zheng, Ying Wang
2014 Chinese Journal of Aeronautics  
Based on the uncertainty theory, this paper is devoted to the redundancy allocation problem in repairable parallel-series systems with uncertain factors, where the failure rate, repair rate and other relative  ...  coefficients involved are considered as uncertain variables.  ...  The RAP with multiple optimization objectives in uncertain environment is called uncertain multiobjective RAP (UMRAP), and the optimization problem under consideration becomes an uncertain multiobjective  ... 
doi:10.1016/j.cja.2014.10.014 fatcat:e6lzhflaxjby3mcuovisdyavly

Optimal Budget Allocations for Protected Area Acquisition To Store Carbon in a Local Community Under Economic Growth Uncertainty

Bijay P. Sharma, Seong-Hoon Cho, Chad M. Hellwinckel
2020 Agricultural and Resource Economics Review  
We analyze optimal budget allocations to acquire protected areas for carbon storage while balancing risk and return from protection under economic growth uncertainty in a local community.  ...  The Pareto optimal trade-off frontier between the expected carbon storage benefit and its variance provides a continuum of risk-return combinations.  ...  We determine optimal budget allocations based on cluster-specific changes in historic carbon storage estimates and forecasted eligible land acquisition costs using MOMP under three uncertain 2046 economic  ... 
doi:10.1017/age.2020.10 fatcat:vwc6yqahgfbofgfgxhpkibbosi

General Pareto Optimal Allocations and Applications to Multi-Period Risks

Pauline Barrieu, Giacomo Scandolo
2008 ASTIN Bulletin: The Journal of the International Actuarial Association  
In this paper, we consider the problem of Pareto optimal allocation in a general framework, involving preference functionals defined on a general real vector space.  ...  The results are then applied to a multi-period setting and some further characterization of Pareto optimality for an allocation is obtained for expected utility for processes.  ...  Expected utilities for processes In the rest of the paper, we are interested in further characterizing Pareto optimal allocations and allocation rules under some particular choices for the preference functionals  ... 
doi:10.2143/ast.38.1.2030405 fatcat:zjpnpaapqjhzvj4yj2zca2wmi4

General Pareto Optimal Allocations and Applications to Multi-Period Risks

Pauline Barrieu, Giacomo Scandolo
2008 ASTIN Bulletin: The Journal of the International Actuarial Association  
In this paper, we consider the problem of Pareto optimal allocation in a general framework, involving preference functionals defined on a general real vector space.  ...  The results are then applied to a multi-period setting and some further characterization of Pareto optimality for an allocation is obtained for expected utility for processes.  ...  Expected utilities for processes In the rest of the paper, we are interested in further characterizing Pareto optimal allocations and allocation rules under some particular choices for the preference functionals  ... 
doi:10.1017/s0515036100015087 fatcat:opfwwiboyfcrnnefgsut4srnam

Uncertain lifetimes and the welfare enhancing properties of annuity markets and social security

Zvi Eckstein, Martin Eichenbaum, Dan Peled
1985 Journal of Public Economics  
In the absence of private information regarding individual survival probabilities, such a program will lead to a non-optimal intragenerational allocation of resources.  ...  However, the presence of adverse selection considerations gives rise to a Pareto improving role for a mandatory non-discriminatory social security program.  ...  such circumstances, the associated equilibrium allocations need not be Pareto optimal.  ... 
doi:10.1016/0047-2727(85)90012-x fatcat:3k4iqiypwfcnvdltxkpk2ezhli

A robust decision-making approach for p-hub median location problems based on two-stage stochastic programming and mean-variance theory: a real case study

Taher Ahmadi, Hadi Karimi, Hamid Davoudpour, Seyed Abbas Hosseinijou
2014 The International Journal of Advanced Manufacturing Technology  
In the third phase, the Pareto solution is obtained, the frontier curve is depicted to determine the decision maker's risk aversion coefficient, and a robust policy is obtained through optimization based  ...  on decision makers' preferences.  ...  The scalar concept of "optimality" is not directly valid in the multi-objective optimization. In this situation, the notion of Pareto optimality has to be introduced.  ... 
doi:10.1007/s00170-014-6569-x fatcat:i3thcw7iqnaepj6e3f4f5wxd44

Robust Multi-Objective Optimization for EE-SE Tradeoff in D2D Communications Underlaying Heterogeneous Networks

Yuanyuan Hao, Qiang Ni, Hai Li, Shujuan Hou
2018 IEEE Transactions on Communications  
Different from traditional resource optimization, we focus on finding robust Pareto optimal solutions for spectrum allocation and power coordination in D2D communications underlaying HetNets with the consideration  ...  With the aid of ε-constraint method and strict robustness, we propose a general framework to transform the uncertain MOO problem into a deterministic single-objective optimization problem.  ...  Consequently, the proposed framework is guaranteed to find all robust Pareto optimal solutions of the formulated uncertain MOO problem, i.e., robust Pareto frontier is obtained. • The spectrum allocation  ... 
doi:10.1109/tcomm.2018.2834920 fatcat:xyg7qwezureajndd6r5elivnou

Economics cannot isolate itself from political theory: a mathematical demonstration [article]

Brendan Markey-Towler
2016 arXiv   pre-print
UNDER WHAT CONDITIONS ARE PARETO IMPROVEMENTS POSSIBLE IN ECONOMIC DECISION MAKING ABOUT ALLOCATION?  ...  But it is perfectly logically consistent with Pareto optimality if individual preferences concern only to their allocation and are monotonically increasing. So what is it that is strange here?  ...  The movement {x if preferences are monotonically increasing over individual-specific preference-information then we can say in fact that the movement will be Pareto optimal if and only if or there is  ... 
arXiv:1701.06410v1 fatcat:rex2eipnavctlolhxrnyv6lgou
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