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This paper studies the housing market problem introduced by Shapley and Scarf (1974). We probe the Machiavellian frontier of the well-known top trading cycles (TTC) rule by weakening strategy-proofness and providing new characterizations…

理论经济学 · 经济学 2024-04-10 Yajing Chen , Zhenhua Jiao , Chenfeng Zhang , Luosai Zhang

This paper studies multi-object reallocation without monetary transfers, where agents initially own multiple indivisible objects and have strict preferences over bundles (e.g., shift exchange among workers at a firm). Focusing on marginal…

理论经济学 · 经济学 2026-02-05 Jacob Coreno , Di Feng

We consider multiple-type housing markets (Moulin, 1995), which extend Shapley-Scarf housing markets (Shapley and Scarf, 1974) from one dimension to higher dimensions. In this model, Pareto efficiency is incompatible with individual…

理论经济学 · 经济学 2025-02-18 Di Feng

In the housing market model introduced by Shapley and Scarf (1974), we propose a new axiom, local unanimity, that extends the unanimity condition widely used in social choice theory. It applies the unanimity condition to any subset of…

理论经济学 · 经济学 2025-12-01 Xinquan Hu , Jun Zhang

We study the object reallocation problem under strict preferences. On the unrestricted domain, Ekici (2024) showed that the Top Trading Cycles (TTC) mechanism is the unique mechanism that is individually rational, pair efficient, and…

理论经济学 · 经济学 2025-08-13 Sumit Goel , Yuki Tamura

We study the classical probabilistic assignment problem, where finitely many indivisible objects are to be probabilistically or proportionally assigned among an equal number of agents. Each agent has an initial deterministic endowment and a…

理论经济学 · 经济学 2025-11-07 Sai Praneeth Donthu , Souvik Roy , Soumyarup Sadhukhan , Gogulapati Sreedurga

This paper focuses on the problem of fairly and efficiently allocating resources to agents. We consider a specific setting, usually referred to as a housing market, where each agent must receive exactly one resource (and initially owns…

人工智能 · 计算机科学 2021-04-20 Aurélie Beynier , Nicolas Maudet , Simon Rey , Parham Shams

We formalize an allocation model under ordinal preferences that is more general than the well-studied Shapley-Scarf housing market. In our model, the agents do not just care which house or resource they get but also care about who gets…

计算机科学与博弈论 · 计算机科学 2018-07-17 Haris Aziz , Edward Lee

Consider the object allocation (one-sided matching) model of Shapley and Scarf (1974). When final allocations are observed but agents' preferences are unknown, when might the allocation be in the core? This is a one-sided analogue of the…

理论经济学 · 经济学 2023-08-08 Andrew Tai

We study multi-type housing markets, where there are $p\ge 2$ types of items, each agent is initially endowed one item of each type, and the goal is to design mechanisms without monetary transfer to (re)allocate items to the agents based on…

计算机科学与博弈论 · 计算机科学 2016-11-24 Sibel Adali , Sujoy Sikdar , Lirong Xia

In a housing market of Shapley and Scarf, each agent is endowed with one indivisible object and has preferences over all objects. An allocation of the objects is in the (strong) core if there exists no (weakly) blocking coalition. In this…

理论经济学 · 经济学 2021-02-02 Péter Biró , Flip Klijn , Xenia Klimentova , Ana Viana

We study the classical assignment problem with initial endowments in a probabilistic framework. In this setting, each agent initially owns an object and has strict preferences over the entire set of objects, and the goal is to reassign…

理论经济学 · 经济学 2025-07-15 Sreedurga Gogulapati , Yadati Narahari , Souvik Roy , Soumyarup Sadhukhan

This paper studies a house allocation problem in a networked housing market, where agents can invite others to join the system in order to enrich their options. Top Trading Cycle is a well-known matching mechanism that achieves a set of…

计算机科学与博弈论 · 计算机科学 2023-03-21 Youjia Zhang , Pingzhong Tang

Yu and Zhang (2025) introduce a new method for defining trading mechanisms in market design and apply it to develop new mechanisms that achieve efficiency and fairness in various models. However, their assumption of strict preferences…

理论经济学 · 经济学 2025-08-18 Jingsheng Yu , Jun Zhang

Top trading cycles with fixed tie-breaking (TTC) has been suggested to deal with indifferences in object allocation problems. Unfortunately, under general indifferences, TTC is neither Pareto efficient nor group strategy-proof. Furthermore,…

理论经济学 · 经济学 2026-02-03 Will Sandholtz , Andrew Tai

We investigate Ekici (2024b)'s multi-center allocation problems, focusing on fairness in this context. We introduce three fairness notions that respect centers' priorities: internal fairness, external fairness, and procedural fairness. The…

理论经济学 · 经济学 2026-03-03 Yao Cheng , Di Feng

We consider multi-item exchange markets in which agents want to receive one of their target bundles of resources. The model encompasses well-studied markets for kidney exchange, lung exchange, and multi-organ exchange. We identify a general…

计算机科学与博弈论 · 计算机科学 2020-07-10 Haris Aziz

The housing market, also known as one-sided matching market, is a classic exchange economy model where each agent on the demand side initially owns an indivisible good (a house) and has a personal preference over all goods. The goal is to…

计算机科学与博弈论 · 计算机科学 2026-01-08 Shiyun Lin

We study the problem of exchange when 1) agents are endowed with heterogeneous indivisible objects, and 2) there is no money. In general, no rule satisfies the three central properties Pareto-efficiency, individual rationality, and…

计算机科学与博弈论 · 计算机科学 2018-03-08 William Phan , Christopher Purcell

In multi-type resource allocation (MTRA) problems, there are p $\ge$ 2 types of items, and n agents, who each demand one unit of items of each type, and have strict linear preferences over bundles consisting of one item of each type. For…

计算机科学与博弈论 · 计算机科学 2020-04-28 Xiaoxi Guo , Sujoy Sikdar , Haibin Wang , Lirong Xia , Yongzhi Cao , Hanpin Wang
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