Physical Sciences and Mathematics Commons^™

Logic, Co-Ordination And The Envelope Of Our Beliefs, Rohit J. Parikh

Publications and Research

Each of us has a story which we can think of as a set of beliefs, hopefully consistent. We make our decisions in view of our beliefs which may be probabilistic, in the general case, but simple yes or no as in this paper. Our beliefs are our envelope just as the shell of a tortoise is its envelope.

Decision theory - or single agent game theory tells us when to make the best choice in a game of us against nature. But nature has no desire to further or frustrate our efforts. Nature is mysterious but not malign.

Things …

Algorithmic Rationality, Rohit J. Parikh

Publications and Research

The notion of rationality is much discussed by both Economists and Philosophers. Perhaps you are rational if you accept certain axioms of rationality. If you prefer A to B and B to C then you must prefer A to C. Or you can define rationality in terms of the net results of your behavior. We examine a notion of algorithmic rationality. Even animals upwards from the humble tick carry out algorithms. Are they rational? And can we use this theory to define the IQ of animals?