Brief paper: A cooperative game of a pair of learning automata

Authors:
M. A. L. Thathachar;K. R. Ramakrishnan
Affiliations:
Department of Electrical Engineering, Indian Institute of Science, Bangalore 560012, India;Department of Electrical Engineering, Indian Institute of Science, Bangalore 560012, India
Venue:
Automatica (Journal of IFAC)
Year:
1984

Citing 1
Cited 3

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Abstract

A cooperative game played in a sequential manner by a pair of learning automata is investigated in this paper. The automata operate in an unknown random environment which gives a common pay-off to the automata. Necessary and sufficient conditions on the functions in the reinforcement scheme are given for absolute monotonicity which enables the expected pay-off to be monotonically increasing in any arbitrary environment. As each participating automaton operates with no information regarding the other partner, the results of the paper are relevant to decentralized control.