Book chapter
A-Subgame Concept and the Solutions Properties for Multistage Games with Vector Payoffs
The chapter considers multistage multicriteria game in extensive form. We empoy the so-called A-subgame concept to examine the dynamical properties of come non-cooperative and cooperative solutions.
In book
The paper proposes a list of requirements for a game able to describe individually motivated social interactions: be non-cooperative, able to construct multiple coalitions in an equilibrium and incorporate intra and inter coalition externalities. For this purpose the paper presents a family of non-cooperative games for coalition structure construction with an equilibrium existence theorem for a game in the family. Few examples illustrate the approach. One of the results is that efficiency is not equivalent to cooperation as an allocation in one coalition. Further papers will demonstrate other applications of the approach.
The paper considers the basic statement of the analytic hierarchy process (AHP), that the priorities of decision variants on individual criteria are compared on the ratio scales that are not linked to each other and are also independent of the priorities of criteria. According to the mathematical theory of measurement this approach is incorrect. To demonstrate its potential consequences a simple example in which the use of the AHP procedure leads to a clearly erroneous result is provided.
Cooperative game theory instruments application to the corporate finance M&A research issues provide an ability to extend the field considered and conclusions obtained. The paper presents the M&A cooperative games modeling and its empirical implementation to analyze the airline strategic alliance as M&A deal.
Reaction–diffusion type replicator systems are investigated for the case of a bimatrix. An approach proposed earlier for formalizing and analyzing distributed replicator systems with one matrix is applied to asymmetric conflicts. A game theory interpretation of the problem is described and the relation between dynamic properties of systems and their game characteristics is determined. The stability of a spatially homogeneous solution for a distributed system is considered and a theorem on maintaining stability is proved. The results are illustrated with two-dimensional examples in the case of distribution.
In this paper, we want to introduce experimental economics to the field of data mining and vice versa. It continues related work on mining deterministic behavior rules of human subjects in data gathered from experiments. Game-theoretic predictions partially fail to work with this data. Equilibria also known as game-theoretic predictions solely succeed with experienced subjects in specific games – conditions, which are rarely given. Contemporary experimental economics offers a number of alternative models apart from game theory. In relevant literature, these models are always biased by philosophical plausibility considerations and are claimed to fit the data. An agnostic data mining approach to the problem is introduced in this paper – the philosophical plausibility considerations follow after the correlations are found. No other biases are regarded apart from determinism. The dataset of the paper “Social Learning in Networks” by Choi et al 2012 is taken for evaluation. As a result, we come up with new findings. As future work, the design of a new infrastructure is discussed.
The authors investigate behavioural assumptions underlying the normal performance of market economy. It is assumed that a model of man adequate for market economy can be deduced from the ideal-typical properties of the latter. The main components of such model are rationality and morality. Main ethical categories relevant for market economy are analyzed: trust, justice, equality, virtues, freedom as well as their treatment in modern economics. Behavioural properties specifi c for modern Russian economy are discussed.
The collection contains papers accepted for the Fourth International Conference Game Theory and Management (June 28–30, 2010, St. Petersburg University, St. Petersburg, Russia). The presented papers belong to the field of game theory and its applications to management. The volume may be recommended for researches and post-graduate students of management, economic and applied mathematics departments.