activity
20112022
most citedFinding maxmin allocations in cooperative and competitive fair division

11 citations · 25 across the 8 of their papers we have counts for

collaborators

8 papers

econ.TH2022

With a little help from my friends: essentiality vs opportunity in group criticality

Michele Aleandri, Marco Dall'Aglio

We define a notion of the criticality of a player for simple monotone games based on cooperation with other players, either to form a winning coalition or to break a winning one, w…

cs.GT2019

Fair Division of Goods in the Shadow of Market Values

Marco Dall'Aglio

Inheritances, divorces or liquidations of companies require common assets to be divided among the entitled parties. Legal methods usually consider the market value of goods, while…

math.OC2016★ 1 cited

Characterizing and Finding the Pareto Optimal Equitable Allocation of Homogeneous Divisible Goods Among Three Players

Marco Dall'Aglio, Camilla Di Luca, Lucia Milone

We consider the division of a finite number of homogeneous divisible items among three players. Under the assumption that each player assigns a positive value to every item, we cha…

math.OC2016★ 7 cited

The Shapley Value in the Knaster Gain Game

Federica Briata, Andrea Dall'Aglio, Marco Dall'Aglio +1

In Briata, Dall'Aglio and Fragnelli (2012), the authors introduce a cooperative game with transferable utility for allocating the gain of a collusion among completely risk-averse a…

math.FA2013★ 3 cited

Bounds for alpha-Optimal Partitioning of a Measurable Space Based on Several Efficient Partitions

Marco Dall'Aglio, Camilla Di Luca

We provide a two-sided inequality for the alpha-optimal partition value of a measurable space according to n nonatomic finite measures. The result extends and often improves Legut…

q-fin.GN2013

On Bankruptcy Game Theoretic Interval Rules

Rodica Branzei, Marco Dall'Aglio, Stef H. Tijs

Interval bankruptcy problems arise in situations where an estate has to be liquidated among a fixed number of creditors and uncertainty about the amounts of the claims is modeled b…

math.ST2012★ 3 cited

Bayesian Posteriors Without Bayes' Theorem

Theodore P. Hill, Marco Dall'Aglio

The classical Bayesian posterior arises naturally as the unique solution of several different optimization problems, without the necessity of interpreting data as conditional proba…

math.OC2011★ 11 cited

Finding maxmin allocations in cooperative and competitive fair division

Marco Dall'Aglio, Camilla Di Luca

We consider upper and lower bounds for maxmin allocations of a completely divisible good in both competitive and cooperative strategic contexts. We then derive a subgradient algori…