This paper provides three short and very simple proofs of the classical Gibbard-Satterthwaite theorem. The theorem is first proved in the case with only two individuals in the economy. The many individual case follows then from an induction argument (over the number of individuals). The proof of...

This paper provides three short and very simple proofs of the classical Gibbard-Satterthwaite theorem. The theorem is first proved in the case with only two individuals in the economy. The many individual case follows then from an induction argument (over the number of individuals). The proof of...

This paper explores situations where tenants in public houses, in a specific neighborhood, are given the legislated right to buy the houses they live in or can choose to remain in their houses and pay the regulated rent. This type of legislation has been passed in many European countries in the...

In a voting model where the set of feasible alternatives is a subset of a product set $A = A_1\times\cdots\ldots{}A_m$ of $m$ finite categories, we characterize the set of all strategy-proof social choice functions for three different types of preference domains over $A$, namely for the domains...

A common real-life problem is to fairly allocate a number of indivisible objects and a fixed amount of money among a group of agents. Fairness requires that each agent weakly prefers his consumption bundle to any other agent's bundle. In this context, fairness is incompatible with budget-balance...

In this paper we considered the classical Shapley-Scarf (1974) "house allocation model", where in addition there is a perfectly divisible good (money). The problem is to characterize all strategy-proof, nonbossy and individually rational allocation mechanisms. The finding is that only a...

A fair division problem with indivisible objects, e.g. jobs, and one divisible good (money) is considered. The individuals consume one object and money. The class of strategy-proof and fair allocation rules is characterized. The allocation rules in the class are like a Vickrey auction bossy and...

A common real-life problem is to fairly allocate a number of indivisible objects and a fixed amount of money among a group of agents. Fairness requires that each agent weakly prefers his consumption bundle to any other agent's bundle. In this context, fairness is incompatible with budget-balance...

We consider envy-free and budget-balanced allocation rules for problems where a number of indivisible objects and a fixed amount of money is allocated among a group of agents. In "small" economies, we identify under classical preferences each agent's maximal gain from manipulation. Using this...

In many real-life house allocation problems, rents are bounded from above by price ceilings imposed by a government or a local administration. This is known as rent control. Because some price equilibria may be disqualified given such restrictions, this paper proposes an alternative equilibrium...