A Software Platform for Educational Board Games

Educational games such as quizzes, quests, puzzles, mazes and logical problems may be modeled as multimedia board games. In the scope of the ADOPTA project1 being under development at the Faculty of Mathematics and Informatics at Sofia University, a formal model for presentation of such educational board games was invented and elaborated. Educational games can be modeled as special board mini-games, with a board of any form and any types of positions. Over defined positions, figures (objects) with certain properties are placed and, next, there are to be defined formal rules for manipulation of these figures and resulted effects. The model has been found to be general enough in order to allow description and execution control of more complex logical problems to be solved by several actions delivered to/by the player according some formal rules and context conditions and, in general, of any learning activities and their workflow. It is used as a base for creation of a software platform providing facilities for easy construction of multimedia board games and their execution. The platform consists of game designer (i.e., a game authoring tool) and game run-time controller communicating each other through game repository. There are created and modeled many examples of educational board games appropriate for didactic purposes, self evaluations, etc., which are supposed to be designed easily by authors with no IT skills and experience. By means of game metadata descriptions, these games are going be included into narrative storyboards and, next, delivered to learners with appropriate profile according their learning style, preferences, etc. Moreover, usage of artificial intelligence agents is planned as well – once as playing virtual opponents of the player or, otherwise, being virtual advisers of the gamer helping him/her in finding the right problem solution within given domain such as discovering a treasure using a location map, finding best tour in a virtual museum, guessing an unknown word in a hangman game, and many others.

Second Attempt to Build a Model of the Tic-Tac-Toe Game

* This publication is partially supported by the Bulgarian Ministry of Education (contract БОЕ 4-02/2004)

A Differential Game Described by a Hyperbolic System

An antagonistic differential game of hyperbolic type with a separable linear vector pay-off function is considered. The main result is the description of all ε-Slater saddle points consisting of program strategies, program ε-Slater maximins and minimaxes for each ε ∈ R^N > for this game. To this purpose, the considered differential game is reduced to find the optimal program strategies of two multicriterial problems of hyperbolic type. The application of approximation enables us to relate these problems to a problem of optimal program control, described by a system of ordinary differential equations, with a scalar pay-off function. It is found that the result of this problem is not changed, if the players use positional or program strategies. For the considered differential game, it is interesting that the ε-Slater saddle points are not equivalent and there exist two ε-Slater saddle points for which the values of all components of the vector pay-off function at one of them are greater than the respective components of the other ε-saddle point.

An Overview of Modelling Bulgarian Wildland Fire Behaviour by Application of a Mathematical Game Method and WRF-Fire Models

This paper presents the main achievements of the author’s PhD dissertation. The work is dedicated to mathematical and semi-empirical approaches applied to the case of Bulgarian wildland fires. After the introductory explanations, short information from every chapter is extracted to cover the main parts of the obtained results. The methods used are described in brief and main outcomes are listed. ACM Computing Classification System (1998): D.1.3, D.2.0, K.5.1.

Game-based Approach in e-Learning

Report published in the Proceedings of the National Conference on "Education and Research in the Information Society", Plovdiv, May, 2016