We introduce a new class of cooperative games where the worth of a coalition depends on the behavior of other players and on the state of nature as well. We allow for coalitions to form both before and after the resolution of uncertainty, hence agreements must be stable against both types of...

We address the issue of bidder ring formation in single and multi-unit Vickrey auctions. We address this issue in a bargaining game set up under the assumption that valuation of bidders is commonly known only amongst themselves. In the single unit case, we show that the equilibrium coalition...

We study an asymmetric two-player bargaining game with risk of breakdown and no discounting. We characterize the modified evolutionarily stable strategies (MESS) by modelling strategies as automata. Payoff and complexity considerations are taken in the automata-selection process. We show that a...

We consider envy-free and budget-balanced rules that are least manipulable with respect to agents counting or with respect to utility gains, and observe that for any profile of quasi-linear preferences, the outcome of any such least manipulable envy-free rule can be obtained via agent-k-linked...

This paper explores a housing market with an existing tenant in each house and where the existing tenants initially rent their houses. The idea is to identify equilibrium prices for the housing market given the prerequisite that a tenant can buy any house on the housing market, including the one...

This paper considers a fair division problem with indivisible objects, like jobs, houses, positions, etc., and one divisible good (money). The individuals consume money and one object each. The class of fair allocation rules that are strategy-proof in the strong sense that no coalition of...

Which strategy-proof nonbossy mechanisms exist in a model with a finite number of indivisible goods (houses, jobs, positions) and a compensating perfectly divisible good (money)? The main finding is that only a finite number of distributions of the divisible good is consistent with...

This paper characterizes nonlinear outlay schedules that are based on a cooperative surplus sharing game with transferable utility. First, the pricing game is shown to be convex and, as a consequence, to have a non-empty core. This is followed by a description of the necessary and sufficient...

This paper investigates an allocation rule that fairly assigns at most one indivisible object and a monetary compensation to each agent, under the restriction that the monetary compensations do not exceed some exogenously given upper bound. A few properties of this allocation rule are stated and...