The following five classes of hybrid systems were recently proved to be equivalent: linear complementarity (LC) systems, extended linear complementarity (ELC) systems, mixed logical dynamical (MLD) systems, piecewise affine (PWA) systems, and maxmin-plus-scaling (MMPS) systems. Some of the equivalences were obtained under additional assumptions, such as boundedness of system variables. In this ...

This paper rigorously examines a dynamic foundation of the maxmin criterion (also known as Rawlsian criterion), that selects a social outcome which maximizes the payoff of the worst off agent. In order to understand how the behavior of individual agents shapes up a social preference through repeated long term interactions among agents, we analyze a dynamic matching process in which a long term ...

We study the problem of elicitation of subjective beliefs of an agent when the beliefs are ambiguous (the set of beliefs is a non-singleton set) and the agent’s preference exhibits ambiguity aversion; in particular, as represented by α-maxmin preferences. We construct a direct revelation mechanism such that truthful reporting of beliefs is the agent’s unique best response. The mechanism uses kn...

objective: the main objective of this research was estimation of genetic parameters for five consecutive measurements of egg weights in isfahan fowl using multi trait model and random regression models. methods: the statistical models included generation-hatch as a fixed effect, weeks of age as a covariate and additive genetic and individual permanent environmental effects as random effects. th...

Scientific models structure our perception of reality. This paper studies how we choose among them under expert advice. are formalised as probability distributions over possible scenarios. An is assumed to know the most likely model and seeks communicate it a decision maker, but cannot prove it. As result, communication about cheap talk game. The maker in situation model-uncertainty ambiguity s...

We describe the observable content of some of the most widely used models of decision under uncertainty: models of translation invariant preferences. In particular, we characterize the models of variational, maxmin, CARA and CRRA utilities. In each case we present a revealed preference axiom that is satisfied by a dataset if and only if the dataset is consistent with the corresponding utility r...

We describe the observable content of some of the most widely used models of decision under uncertainty: models of translation invariant preferences. In particular, we characterize the models of variational, maxmin, constant absolute risk aversion, and constant relative risk aversion utilities. In each case we present a revealed preference axiom that is satisfied by a dataset if and only if the...

It is known that the value of a zero-sum infinitely repeated game with incomplete information on both sides need not exist [1]. It is proved that any number between the minmax and the maxmin of the zero-sum infinitely repeated game with incomplete information on both sides is the value of the long finitely repeated game where players’ information about the uncertain number of repetitions is asy...