We present an axiomatic characterization of the Owen-Shapley spatial power index for the case where issues are elements of two-dimensional space. This characterization employs a version of the transfer condition, which enables us to unravel a spatial game into spatial games connected to unanimity games. The other axioms are spatial versions of anonymity and dummy, and two conditions concerned p...

Self-Serving Use of Equity Rules in Bargaining with Asymmetric Outside Options 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 withinsubject design further allows us to show that...

We study equilibrium binding agreements, the coalition structures that form under such agreements, and the efficiency of the outcomes that result. We analyze such agreements in a context where the payoff to each player depends on the actions of all other players. Thus a game in strategic form is a natural starting point. Unlike the device of a characteristic function, explicit attention is paid...

We propose the “average approach,” where the worth of a coalition is a weighted average of its worth for different partitions of the players’ set, as a unifying method to extend values for characteristic function form games. Our method allows us to extend the equal division value, the equal surplus value, the consensus value, the λ-egalitarian Shapley value, and the least-square family. For eac...

Inequity aversion models have dominated the behavioral economics landscape in the last decade. This study uses variants of dictator and trust games to provide empirical content to these models. We manipulate market features—such as competition over resources—to demonstrate that extant models cannot explain realistic manipulations of either game. For example, we show that if socially acceptable ...

We study coalitional games where the proceeds from cooperation depend on the entire coalition structure. The coalition structure core (Kóczy, 2007) is a generalisation of the coalition structure core for such games. We introduce a noncooperative, sequential coalition formation model and show that the set of equilibrium outcomes coincides with the recursive core. In order to extend past results ...

This experiment investigates contests between groups. Each group has one strong player, with a higher valuation for the prize, and two weak players, with lower valuations. In contests where individual efforts are perfect substitutes, all players expend significantly higher efforts than predicted by theory. In best-shot contests, where group performance depends on the best performer, most of the...

In this paper, we examine whether farsighted players form the e¢ cient grand coalition structure in coalition formation games. We propose a stability concept for a coalition structure, called sequentially stability, when only bilateral mergers of two separate coalitions are feasible because of high negotiation costs. We provide an algorithm to check the sequential stability of the grand coaliti...

This paper introduces and studies the γ-core of a general strategic game. It shows that a prominent class of games admit nonempty γ-cores. It also shows that the γ-core payoff vectors (a cooperative solution concept) can be supported as equilibrium outcomes of a non-cooperative game and the grand coalition is the unique equilibrium outcome if and only if the γ-core is nonempty. As an applicatio...

We investigate a random proposer bargaining game with a dead line. A bounded time interval is divided into bargaining periods of equal length and we study the limit of the subgame perfect equilibrium outcome as the number of bargaining periods goes to infinity while the dead line is kept fixed. This limit is close to the Raiffa solution when the time horizon is very short. If the dead line goes...