In this paper, the directional lower and upper derivatives of the maxmin function are investigated by using the directional lower and upper derivative sets of the max-min set valued map. Sufficient conditions ensuring the existence of the directional derivative of the max-min function are obtained.

The perfect monitoring assumption is replaced by a signalling structure that models, for each player, the information about the opponent’s previous action. The value of a stochastic game may not exist any more. For the class of absorbing games, we are able to show the existence of the maxmin and the minmax. The value does not exist if they are different.

In this paper we survey variational characterizations of eigenvalues of nonlinear eigenproblems, i.e. generalizations of Rayleigh’s principle, the minmax characterization of Poincaré, and the maxmin characterization of Courant, Fischer and Weyl to eigenvalue problems containing the eigenparameter nonlinearly. In this note we consider the nonlinear eigenvalue problem

We provide results on the aggregation of beliefs and tastes for Monotone, Bernoullian and Archimedian preferences of Cerreia-Vioglio, Ghirardato, Maccheroni, Marinacci, and Siniscalchi (2011). We propose a new axiom, Unambiguous Pareto Dominance, which requires that if the unambiguous part of individuals’ preferences agree, then society should follow it. We characterize the resulting social pre...

We study a model of non-Bayesian updating, based on the Hypothesis Testing model of Ortoleva (2012), for ambiguity averse agents. Agents ranks acts following the MaxMin Expected Utility model of Gilboa and Schmeidler (1989) and when they receive new information they update their set of priors as follows: If the information is such that all priors in the original set of priors assign to it a pro...

Mixed strategies are often evaluated based on the expected payoff that they guarantee. This is not always desirable. In this paper, we consider games for which maximizing the expected payoff deviates from the actual goal of the players. To address this issue, we introduce the notion of a (u, p)-maxmin strategy which ensures receiving a minimum utility of u with probability at least p. We then g...

This comment revisits Chung and Ely’s [6] paper in which robustly optimal auctions where investigated. Chung and Ely used a maxmin approach to define robust optimality. Chung and Ely provided conditions under which dominant strategy auctions are robustly optimal in their sense. This comment argues that Chung and Ely’s maxmin definition of robustly optimal auctions requires too little of an opti...

In this paper, we are exploring fuzzy logic in medical diagnosis of infertility where our aim is to predict the possibility of total fertility using fuzzy matrix theory by measuring the follicle fertilization possibility based on follicle size. Also developed a computer program to calculate fuzzy matrix based on MaxMin rule using JavaScript.

This paper proposes an access protocol which combines the principles of leaky bucket, MaxMin fairness and Demand Assigned Multiple Access (DAMA) to manage the transmission of ATM cells from wireless terminals/handsets to base stations. We demonstrate by simulation that the protocol is efficient and meets our

Machina [8] proposes examples of plausible preference patterns that cannot be accommodated by the Choquet expected utility model (Schmeidler [9]). In a recent paper, Baillon, L’Haridon and Placido [2] show that Machina’s examples also pose a challenge for other popular models, including maxmin expected utility (Gilboa and Schmeidler [5]), variational preferences (Maccheroni, Marinacci and Rusti...