2 citations · 3 across the 8 of their papers we have counts for
9 papers
Flow Games with Public Arcs: the Least Core and the Nucleolus
Tianhang Lu, Han Xiao, Qizhi Fang
We study flow games with public arcs, an extension of classical cooperative flow games that allows players to use public resources. In these games, a coalition corresponds to a set…
A Complete Characterization of Convexity in Flow Games
Han Xiao, Luying Zhang, Qizhi Fang
Flow games coincide precisely with non-negative totally balanced games. We give a complete characterization of convexity for flow games with one arc per player. We prove that such…
On the Approximate Core and Nucleon of Flow Games with Public Arcs
Pengfei Liu, Han Xiao, Tianhang Lu +1
We investigate flow games featuring both private arcs owned by individual players and public arcs accessible cost-free to all coalitions. We explore two solution concepts within th…
Approximate Core Allocations for Edge Cover Games
Tianhang Lu, Han Xian, Qizhi Fang
We study the approximate core for edge cover games, which are cooperative games stemming from edge cover problems. In these games, each player controls a vertex on a network $G = (…
Approximate Core Allocations for Multiple Partners Matching Games
Han Xiao, Tianhang Lu, Qizhi Fang
The matching game is a cooperative game where the value of every coalition is the maximum revenue of players in the coalition can make by forming pairwise disjoint partners. The mu…
Population Monotonicity in Matching Games
Han Xiao, Qizhi Fang
A matching game is a cooperative profit game defined on an edge-weighted graph, where the players are the vertices and the profit of a coalition is the maximum weight of matchings…
Arboricity games: the core and the nucleolus
Han Xiao, Qizhi Fang
The arboricity of a graph is the minimum number of forests required to cover all its edges. In this paper, we examine arboricity from a game-theoretic perspective and investigate c…
Population Monotonic Allocation Schemes for Vertex Cover Games
Han Xiao, Qizhi Fang, Ding-Zhu Du
For vertex cover games (introduced by Deng et al., Math. Oper. Res., 24:751-766, 1999), we investigate population monotonic allocation schemes (introduced by Sprumont, Games Econ.…
On the Convexity of Independent Set Games
Han Xiao, Yuanxi Wang, Qizhi Fang
Independent set games are cooperative games defined on graphs, where players are edges and the value of a coalition is the maximum cardinality of independent sets in the subgraph d…