This paper proposes a Cournot game organized by three competing firms adopting bounded rationality. According to the marginal profit in the past time step, each firm tries to update its production using local knowledge. In this game, a firm’s preference is represented by a utility function that is derived from a constant elasticity of substitution production function. The game is modeled by a 3-dimensional discrete dynamical system. The equilibria of the system are numerically studied to detect their complex characteristics due (...) to difficulty to get an explicit form for those equilibria. For the proposed utility function, some cases with different value parameters are considered. Numerical simulations are used to provide an experimental evidence for the complex behavior of the evolution of the system. The obtained results show that the system loses its stability due to different types of bifurcations. (shrink)

A brief presentation of the major conclusions contained in the recently published monograph entitled "The Ascent to Law: Searches and Solutions," written over a period of many years. Chapter headings are: The law - an objective reality. The dogma of the law. The drama of scholarship. Searching. "The entire" substance of the law. Juridical constructs. The logic of laws. The secret of the law. Law - the highest purpose. Law in the life and fate of mankind.

Frant︠s︡uzskiĭ materializm XVIII veka -- Frant︠s︡uzskie istoriki vremen Restavrat︠s︡ii -- Sot︠s︡ialisty-utopisty -- Idealisticheskai︠a︡ nemet︠s︡kai︠a︡ filosofii︠a︡ -- Sovremennyĭ materializm.

Studies on Jaina logic based on third chapter of Prameyakamalamārtaṇḍa; includes text with English translation.

L'objet de cet article est de déterminer et d'analyser l'image de la Vierge Marie dans la piété russe. Dans cette culture marquée par l'Empire Byzantin et la religion chrétienne orthodoxe, la figure de la Vierge Marie n'a pas, comme dans l'occident catholique, été supplantée par des idéalisations comme Béatrix pour Dante ou l'amour courtois pour le Moyen-Age, de sorte que son image a continué de jouer un rôle prépondérant dans la piété populaire russe.

The fundamental ideas concerning computation and recursion naturally find their place at the interface between logic and theoretical computer science. The contributions in this book, by leaders in the field, provide a picture of current ideas and methods in the ongoing investigations into the pure mathematical foundations of computability theory. The topics range over computable functions, enumerable sets, degree structures, complexity, subrecursiveness, domains and inductive inference. A number of the articles contain introductory and background material which it is hoped will (...) make this volume an invaluable resource for specialists and non-specialists alike. (shrink)

Based on a nonlinear demand function and a market-clearing price, a cobweb model is introduced in this paper. A gradient mechanism that depends on the marginal profit is adopted to form the 1D discrete dynamic cobweb map. Analytical studies show that the map possesses four fixed points and only one attains the profit maximization. The stability/instability conditions for this fixed point are calculated and numerically studied. The numerical studies provide some insights about the cobweb map and confirm that this fixed (...) point can be destabilized due to period-doubling bifurcation. The second part of the paper discusses the memory factor on the stabilization of the map’s equilibrium point. A gradient mechanism that depends on the marginal profit in the past two time steps is adopted to incorporate memory in the model. Hence, a 2D discrete dynamic map is constructed. Through theoretical and numerical investigations, we show that the equilibrium point of the 2D map becomes unstable due to two types of bifurcations that are Neimark–Sacker and flip bifurcations. Furthermore, the influence of the speed of adjustment parameter on the map’s equilibrium is analyzed via numerical experiments. (shrink)

A quadratic utility function is introduced in this paper to study the dynamic characteristics of Cournot duopoly game. Based on the bounded rationality mechanism, a discrete dynamical map that describes the game’s dynamic is obtained. The map possesses only one equilibrium point which is Nash point. The stability conditions for this point are analyzed. These conditions show that the point becomes unstable due to two bifurcation types that are flip and Neimark–Sacker. The synchronization property for that map is studied. Through (...) local and global analysis, some dynamics of attracting sets are investigated. This analysis gives some insights on the basis of those sets and the shape of the critical curves. It also shows some lobes found in those attracting sets which are constructed due to the origin focal point. (shrink)

The article reviews various theories of laughter on the basis of their conventionally accepted classification. Their substantive intersections, especially significant for A. F. Losev and L. V. Karasev, are revealed. This leads us to the conclusion that there can be as many emotions and meanings expressed by laughter as there are hypotheses about what laughter points to. This conclusion drew our attention to the essential qualities of laughter, regardless of its objects, forms, and purposes: virtuality and eventuality. The theories of (...) M. Bakhtin, M. T. Ryumina, and G. Deleuze are considered in connection with these concepts. Specific attention is paid to the concept of laughter by J.-L. Nancy, which, while not excluding the ideas of the previously listed authors, as well as J. Derrida's and M. Heidegger's, is original in that it presents laughter as a presence, an autonomous event or affect, which is capable of being expressed in text and speech. (shrink)