Assume that two players have strict rankings over an even number of indivisible items. We propose algorithms to find allocations of these items that are maximin—maximize the minimum rank of the items that the players receive—and are envy-free and Pareto-optimal if such allocations exist. We...

In this paper, we develop a game theoretic model for cooperative advertising in a supply chain consisting of a monopolistic manufacturer selling its product to the consumer only through competing duopolistic retailers. We consider a new form of the demand function which is an additive form. The...

Given the framework introduced by Dutta and Sen (2012), this paper offers a comprehensive analysis of (Nash) implementation with partially honest agents when there are three or more participants. First, it establishes a condition which is necessary and sufficient for implementation. Second, it...

Mathematical Economics, Social Science and Political Science are inter-related. In this paper, an attempt has been made to describe aspects of these subjects by introducing examples, definitions, mathematical calculations and discussions. Game Theory is included in this paper to study...

We propose two tests for the equality of covariance matrices between two high-dimensional populations. One test is on the whole variance-covariance matrices, and the other is on offdiagonal sub-matrices which define the covariance between two non-overlapping segments of the high-dimensional...

A contest is a situation in which individuals or groups expend costly resources while competing to win a specific prize. The variety of economic situations that can be described as contests has attracted enormous attention from economic theorists. Despite the extensive theoretical research of...

Motivated by the latest effort to employ banded matrices to estimate a high-dimensional covariance Σ , we propose a test for Σ being banded with possible diverging bandwidth. The test is adaptive to the “large p , small n ” situations without assuming a specific parametric distribution for...

Blainey (1988) argued that crises are more likely to end in war when two nations disagree about their relative power. Fey and Ramsay (2007) claim that this widely used “mutual optimism” explanation is theoretically incoherent. Their criticism neglects the need to specify a behavioral causal...

This paper theorises how decision-makers in the EU legislative process reach consensual decisions and in which policy direction through a mechanism of “implicit voting”. I introduce spatial model coalitional bargaining using a utility function that incorporates decision-maker considerations...

Research and Science Today Journal is a publication founded in 2011 and it is dedicated to the students of all levels (license, master and doctoral) of faculties in the country and abroad. We want to offer the participants the opportunity to present their scientific works in the following areas:...