Backward induction algorithm for a class of closed-loop Stackelberg games |
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| Authors: | R. Kicsiny Z. Varga A. Scarelli |
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| Affiliation: | 1. Institute of Mathematics and Informatics, Szent István University, Páter K.u.1., 2100 Gödöllö, Hungary;2. Department of Ecological and Biological Sciences, University of Tuscia, Via S. Camillo de Lellis s.n.c., 01100 Viterbo, Italy |
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| Abstract: | In the paper a new deterministic continuum-strategy two-player discrete-time dynamic Stackelberg game is proposed with fixed finite time duration and closed-loop information structure. The considered payoff functions can be widely used in different applications (mainly in conflicts of consuming a limited resource, where one player, called leader, is a superior authority choosing strategy first, and another player, called follower, chooses after). |
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| Keywords: | Game theory Closed-loop Stackelberg game Leader&ndash follower equilibrium Backward induction algorithm Game regulation Dynamic programming |
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