Augmented serial rules for an excludable public good

We present a new class of rules named “augmented serial rules” for the provision of an excludable public good. First, we characterize this class by the four axioms of strategy-proofness, envy-freeness, access independence, and nonbossiness. Second, we identify two important subclasses by imposing an additional axiom: (i) “anonymous augmented serial rules” by anonymity, and (ii) Moulin’s serial rule by individual rationality. Copyright Springer-Verlag Berlin/Heidelberg 2005Excludable public good, Strategy-proofness, Augmented serial rules.,

Implementing egalitarian-equivalent allocation of indivisible goods on restricted domains

We study the problem of allocating several units of homogeneous indivisible goods when monetary compensations are possible. First, we show that there is no strategy-proof, budget balanced, and egalitarian-equivalent mechanism even on extremely restricted preference domains. Next, we present two characterizations of strategy-proof and decision-efficient mechanisms that satisfy a stronger version of egalitarian-equivalence on preference domains bounded above. These characterizations tell us a trade-off between strategy-proofness and Pareto efficiency, and a relationship with strategy-proof and envy-free mechanisms. Finally, we prove that no egalitarian-equivalent mechanism is Nash implementable even on extremely restricted preference domains. Copyright Springer-Verlag Berlin/Heidelberg 2004Indivisible goods, Egalitarian-equivalence, Strategy-proofness, Nash implementation.,

Strategy-proof allocation mechanisms for economies with an indivisible good

We consider economies with a single indivisible good and money. We characterize the set of mechanisms that satisfy strategy-proofness, individual rationality, equal compensation, and demand monotonicity. There are three types of mechanisms which have the following properties: (i) they determine the allocation of monetary compensation depending on who receives the indivisible good; (ii) they allocate the indivisible good to one of the pre-specified (one or two) agent(s); and (iii) they disregard preferences of agents other than the pre-specified agent(s). This result implies that the presence of an indivisible good induces serious asymmetry in mechanisms.

Strategy-proof and efficient allocation of an indivisible good on finitely restricted preference domains

We consider allocation mechanisms in economies with a single indivisible good and money. First, we show that there is no strategy-proof and Pareto efficient mechanism on some preference domains which consist of a sufficiently large but finite number of quasi-linear preferences. Second, we show that there is no strategy-proof, Pareto efficient, and equally compensatory mechanism on arbitrary preference domains which consist of more than three quasi-linear preferences.Strategy-proofness, efficiency, domain restriction