In this paper we study inheritance properties of average convexity in communication situations. We show that the underlying graph ensures that the graphrestricted game originating from an average convex game is average convex if and only if every subgraph associated with a component of the...

Voting is a commonly applied method for the aggregation of the preferences of multiple agents into a joint decision. If preferences are binary, i.e., "yes" and "no", every voting system can be described by a (monotone) Boolean function \chi\colon\{0,1\}^n\rightarrow \{0,1\}. However, its naive...

A counterexample is given to Lemma 1 of Ray and Vohra (2019). This lemma is a key part of the proof of the main theorem (Theorem 1) of the cited paper. We give an additional condition under which Lemma 1 holds. This condition specifies that when a coalition of players T is broken up by the...

The stable set of von Neumann and Morgenstern imposes credibility on coalitional deviations. Their credibility notion can be extended to cover farsighted coalitional deviations, as proposed by Harsanyi (1974), and more recently reformulated by Ray and Vohra (2015). However, the resulting...

These are my Lecture Notes for a course in Game Theory which I taught in the Winter term 2003/04 at the University of Kaiserslautern. I am aware that the notes are not yet free of error and the manuscrip needs further improvement. I am happy about any comment on the notes

In this article, we consider a solution to the problem of fair distribution of ice cream. This task is a canonical problem discussed in the theory of cooperative games. Although the above-described problem is well known, we propose a different approach to its solution. We also compare the...

Few studies on federalism analyze the role of courts as safeguards of the federal arrangement, and those that do tend to be too optimistic about what courts can do. This article analyzes the effect of judicial review on the interaction between the central and a regional government in a...

In the beginning of the second book of his Politeia (Republic) Plato in passage 2.358e-359a-c raises the issue of the administration of justice as a means of motivating people to behave fairly regarding their relationships and when cooperating with each other because, at the end, this is...

This is a survey and discussion of work covering both formal game theory and experimental gaming prior to 1991. It is a useful preliminary introduction to the considerable change and emphasis which has taken place since that time where dynamics, learning, and local optimization have challenged...