Acceptance sampling in a producer—supplier conflicting environment: Risk neutral case

This paper considers a mutual inspection game which follows the signing of a quality delivery contract. The basic strategic decisions considered involve both the supplier and producer acceptance sampling procedure on the same lot. To solve the game, we consider the classical notions of ‘producer’ and ‘consumer’ risks and define a random payoffs game. To simplify our analysis, we assume risk neutrality by both the producer and the supplier. The approach of this paper provides a departure point from traditional acceptance sampling, to an approach which recognizes explicit motivations and the pursuit of self‐interest as well as the cost of information for the parties involved. As a result, the traditional formulation of sampling plans, designed in terms of risk considerations based on Neyman—Pearson theory in hypothesis testing, is deemed limited. For demonstration purposes, an example is solved.