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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 algorithm to compute the exact value up to any fixed degree of precision
Persistent link: https://www.econbiz.de/10013112094
precision. -- Fair Division ; Maxmin Allocation ; Kalai Bargaining Solution ; Cooperative Game Theory …
Persistent link: https://www.econbiz.de/10009380614
In this paper we show how theorems of Borsuk-Ulam and Tucker can be used to construct a consensus-halving: a division of an object into two portions so that each of n people believe the portions are equally split. Moreover, the division takes at most n cuts, which is best possible. This extends...
Persistent link: https://www.econbiz.de/10011569033
players who have flexible resources. Here, flexibility means that a player has a universal resource (e.g. working time) which … constraints similar to the condition in Hall's famous marriage theorem. The resources of the players can be used in several linear … an allocation rule. We will show that this new variant of cooperative games – like the original linear LPG – is balanced …
Persistent link: https://www.econbiz.de/10013143585
optimal capacity allocation. We show that one of the three options is optimal for the capacity allocation problem in the … unobservable case: all-appointment, all walk-in, or an allocation that ensures only urgent patients to choose the walk-in option … allocation for the simulation model, which is then used to benchmark the performance of model results as well as those of two …
Persistent link: https://www.econbiz.de/10014093990
We consider the problem of fairly allocating one indivisible object when monetary transfers are possible, and examine the existence of Bayesian incentive compatible mechanisms to solve the problem. We propose a mechanism that satisfies envy-freeness, budget balancedness, and Bayesian incentive...
Persistent link: https://www.econbiz.de/10014212939
-TTC algorithm to find a lottery allocation that has two desired properties of individual stability (IS) and coalitional stability … (CS). The new IS notion is proposed to resolve the nonexistence of an envy-free allocation. Further more, we provide a … lottery game and show that any IS allocation induces a Nash equilibrium in pure strategies, and vice versa. We also …
Persistent link: https://www.econbiz.de/10014137151
We review the theory of fairness as it pertains to concretely specified problems of resource allocations. We present …, as well as various families extending these notions. We also introduce relational notions specifying how allocation rules … should respond to changes in resources (resource monotonicity), technologies (technology monotonicity), preferences (welfare …
Persistent link: https://www.econbiz.de/10014025187
to the players. The allocation(s) that AL yields are Pareto-optimal, envy-free, and maximal; as the number of items …
Persistent link: https://www.econbiz.de/10013081091
and equal opportunity equivalent allocation for a land division problem and we present a simple procedure to implement a … rule that selects such allocation at each preference profile. -- egalitarism ; equity ; fair division ; land division …
Persistent link: https://www.econbiz.de/10009506437