In the Ultimatum Game (UG) one player, named “proposer”, has to decide how to allocate a certain amount of money between herself and a “responder”. If the offer is greater than or equal to the responder’s minimum acceptable offer (MAO), then the money is split as proposed, otherwise,...

This chapter studies the theory of value of games with infinitely many players.Games with infinitely many players are models of interactions with many players. Often most of the players are individually insignificant, and are effective in the game only via coalitions. At the same time there may...

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

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. -- Fair Division ; Maxmin Allocation ; Kalai...

In a river claims problem, agents are ordered linearly, and they have both an initial water endowment as well as a claim to the total water resource. We provide characterizations of two solutions to this problem, using Composition properties which have particularly relevant interpretations for...

We experimentally investigate multiple notions of equity in ultimatum bargaining with asymmetric outside options. Building on the generalized equity principle formulated by Selten (1978), we derive three different equity rules that can explain 43% of all offers. Our within-subject design further...

We survey the economics of transboundary river water allocation, which emerged in the 1960s and has matured over the last decade due to increasing concerns over water scarcity and pollution. We outline the major approaches and pay specific attention to the strategic aspects of transboundary...

Agents involved in a conflicting claims problem may be concerned with the proportion of their claims that is satisfied, or with the total amount they get. In order to relate both perspectives, we associate to each conflicting claims problem a bargaining-in-proportions set. Then, we obtain a...

We experimentally investigate the relevance of (asymmetric) outside options in ultimatum bargaining. Building on the generalized equity principle formulated by Selten (1978) we derive three different equity rules. These equity rules can explain 43% of all o ers. Our within-subject design allows...

We present a simple proof of the balancedness of permutation games. In the proof we use the existence of envy-free allocations in economies with indivisible objects, quasi-linear utility functions, and an amount of money