The compleat strategyst, being a primer on the theory of games of strategy;

Mode of access: Internet.

Introduction to the theory of games.

Bibliography: p. 361-367.

Differential Games of Mixed Type with Control and Stopping Times

We study a zero sum differential game of mixed type where each player uses both control and stopping times. Under certain conditions we show that the value function for this problem exists and is the unique viscosity solution of the corresponding variational inequalities. We also show the existence of saddle point equilibrium for a special case of differential game.

Existence of Value in Stochastic Differential Games of Mixed Type

In this article, we address stochastic differential games of mixed type with both control and stopping times. Under standard assumptions, we show that the value of the game can be characterized as the unique viscosity solution of corresponding Hamilton-Jacobi-Isaacs (HJI) variational inequalities.

Power Games in Strategy Formation Processes – A Performative Interpretation

The article approaches an understanding of power within strategy formation processes established by verbal and bodily communication. On this note, we examined concepts of power constituted by hierarchy and developed a conceptual framework for a performative interpretation of power. In line with Austin’s (1962) and Butler’s (1990, 1993, 1997) concept of performativity as well as strategy-as-practice research (Balogun et al., 2007; Jarzabkowski & Spee, 2009) we ask: How is persuasion achieved by strategic actors during strategy formation processes? To explore verbal and bodily communication empirically we developed an experimental setting in a small high-tech company located in Germany in December, 2012. The Results indicate that (1) during critical incidents – when perspectives clash – actors use arguments to gain persuasion. (2) The data illustrates that independently of their hierarchical position within the company, strategic actors show an equal distribution of argumentative techniques.

Osztozkodási játékok (Games of fair division)

In this survey we presented several proportional and envy-free cake-cutting algorithms. We also mentioned some interesting open problems.

Theories of learning mathematics

According to Karl Popper, widely regarded as one of the greatest philosophers of science in the 20th century, falsifiability is the primary characteristic that distinguishes scientific theories from ideologies – or dogma. For example, for people who argue that schools should treat creationism as a scientific theory, comparable to modern theories of evolution, advocates of creationism would need to become engaged in the generation of falsifiable hypothesis, and would need to abandon the practice of discouraging questioning and inquiry. Ironically, scientific theories themselves are accepted or rejected based on a principle that might be called survival of the fittest. So, for healthy theories on development to occur, four Darwinian functions should function: (a) variation – avoid orthodoxy and encourage divergent thinking, (b) selection – submit all assumptions and innovations to rigorous testing, (c) diffusion – encourage the shareability of new and/or viable ways of thinking, and (d) accumulation – encourage the reuseability of viable aspects of productive innovations.

Customer equity management : the impact of strategy drivers and customer data management on customer equity outcomes

This research contributes to the field of customer equity by examining how important the strategy drivers of consumption and customer data management are in contributing to the value of the customer asset. A mixed methods approach focused on one sector: the Australian accommodation hotels. From this research, a deeper understanding of how to theorise, conceptualise and practice customer equity management has been achieved.

On the force potential of strategy texts: a critical discourse analysis of a strategic plan and its power effects in a city organization

Despite increasing interest in the discursive aspects of strategy, few studies have examined strategy texts and their power effects. We draw from Critical Discourse Analysis to better understand the power of strategic plans as a directive genre. In our empirical analysis, we examined the creation of the official strategic plan of the City of Lahti in Finland. As a result of our inductive analysis, we identified five central discursive features of this plan: self-authorization, special terminology, discursive innovation, forced consensus and deonticity. We argue that these features can, with due caution, be generalized and conceived as distinctive features of the strategy genre. We maintain that these discursive features are not trivial characteristics; they have important implications for the textual agency of strategic plans, their performative effects, impact on power relations and ideological implications.

Spatial SINR Games of Base Station Placement and Mobile Association

We study the question of determining locations of base stations (BSs) that may belong to the same or to competing service providers. We take into account the impact of these decisions on the behavior of intelligent mobile terminals that can connect to the base station that offers the best utility. The signal-to-interference-plus-noise ratio (SINR) is used as the quantity that determines the association. We first study the SINR association-game: We determine the cells corresponding to each base stations, i.e., the locations at which mobile terminals prefer to connect to a given base station than to others. We make some surprising observations: 1) displacing a base station a little in one direction may result in a displacement of the boundary of the corresponding cell to the opposite direction; 2) a cell corresponding to a BS may be the union of disconnected subcells. We then study the hierarchical equilibrium in the combined BS location and mobile association problem: We determine where to locate the BSs so as to maximize the revenues obtained at the induced SINR mobile association game. We consider the cases of single frequency band and two frequency bands of operation. Finally, we also consider hierarchical equilibria in two frequency systems with successive interference cancellation.

[BSHM meetings] Topics in the history of financial mathematics: early commerce to chaos in modern stock markets

This account provides an overview of the study day, entitled 'Topics in the History of Financial Mathematics: Early commerce to chaos in modern stock markets,' held by the British Society for the History of Mathematics jointly with Gresham College, at Gresham College, London on 25th April 2008. The series of talks explored the development of mathematics and mathematical techniques in a commercial and financial context.