In the assignment game framework, we try to identify those assignment matrices in which no entry can be increased without changing the core of the game. These games will be called buyerseller exact games and satisfy the condition that each mixedpair coalition attains the corresponding matrix...

Singlevalued solutions for the case of twosided market games without product differentiation, also known as B ohmBawerk horse market games, are analyzed. The nucleolus is proved to coincide with the value, and is thus the midpoint of the core. Moreover a characterization of this set of games in...

Different propietats of convex and average convex games are developed in terms of unanimity coordinates. A set of necessary and sufficient conditions for the core of balanced games containing the Shapley value are given. Connections between convexity and average convexity, the Shapley value, the...

In the vast majority of laboratory experiments documenting the existence of reciprocity subjects are endowed with windfall funds. In many environments with salient fairness considerations such endowments are known to inflate subjects’ other-regarding behavior, thereby creating a so-called...

We provide explicit formulas for the nucleolus of an arbitrary assignment game with two buyers and two sellers. Five different cases are analyzed depending on the entries of the assignment matrix. We extend the results to the case of 2 m or m 2 assignment games.

A multi-sided Bohm-Bawerk assignment game (Tejada, to appear) is a model for a multilateral market with a finite number of perfectly complementary indivisible com- modities owned by different sellers, and inflexible demand and support functions. We show that for each such market game there is a...

An assignment game is defined by a matrix A, where each row represents a buyer and each column a seller. If buyer i is matched with seller j, the market produces aij units of utility. We study Monge assignment games, that is bilateral cooperative assignment games where the assignment matrix...

In the vast majority of experiments documenting the existence of reciprocity subjects are endowed with windfall funds. In some situations such endowments might create a so-called “house money effect”. We identify two reasons why the source of endowment might matter for negative reciprocity:...

In the context of cooperative TU-games, and given an order of players, we consider the problem of distributing the worth of the grand coalition as a sequential decision problem. In each step of the process, upper and lower bounds for the payoff of the players are required related to successive...