In this paper we consider the quantitative decision problem to allocate a certain amount of time upon two possible market activities, specifically a legal one and an illegal one: this problem was considered in literature by Isaac Ehrlich (in his seminal paper “Participation in Illegitimate...

The crisis within the Euro area have become frequent during 2010. First was the Greek economy to face a default problem of its sovreign debt, in November it was Ireland who has been in a serious financial situation at the verge of collapse causing difficulties to the euro. In this contribution...

In this paper we define the canonical mixed extension of a decision form game. We motivate the necessity to introduce this concept and we show several examples about the new concept. In particular we focus our study upon the mixed equilibria of a finite decision form game. Many devel- opments...

In this paper we introduce the reactivity in decision-form games. The concept of reactivity allows us to give a natural concept of rationalizable solution for decision-form games: the solubility by elimination of sub- reactive strategies. This concept of solubility is less demanding than the...

In this paper we formalize a new form of two-player game, that we call decision- form. A two-player decision-form game consists in a pair of decision rules, representing the rationality of each player. We develop the basic facts of this type of games, showing that this form of game generalizes...

In this paper we apply the complete analysis of a differentiable game (recently introduced by the author) to determine possible suitable behaviors (actions) of tourism firms during strategic interactions with other tourism firms, from both non-cooperative and cooperative point of view. To...

In this paper we state and prove some new results about the optimal boundaries. These boundaries (also called Pareto boundaries or efficiency boundaries or maximal/minimal boundaries) are of increasing importance in the applications to Decision Theory and Economics. First of all the Pareto...

In this paper we propose a concept of rationalizable solution for two-player decision-form games: the solution by iterated elimination of non-reactive strategies. Several original theorems are proved about this kind of solution. We study the relations between solutions by iterated elimination of...

In this paper we apply the Complete Analysis of Differentiable Games (introduced by D. Carfì in [3], [6], [8] and [9]) and al-ready employed by himself and others in [4], [5], [7]) to the classic Bertrand Duopoly (1883), classic oligopolistic market in which there are two enterprises producing...

In this paper we see the evolution of a capitalized financial event e, with respect to a capitalization factor f, as the exponential map of a suitably defined Lie group G(f,e), supported by the half-space of capitalized financial events having the same sign of e. The Lie group G(f,e) depends on...