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The importance of service firms cooperating with digital platforms is widely acknowledged. The authors study three contractual relationships (fixed-cost, cost-sharing, and profit-sharing) between service firms (specifically hotels) and digital platforms in a highly fragmented service supply chain to examine which of these contract types optimizes profits.

The authors extend prior models analyzing the optimal expected total profit from the travel service firm (hotel)–digital platform relationship, providing new insights into each contract type’s ability to coordinate decentralized systems and optimize profits for both parties.

This study finds that fixed cost contracts cannot coordinate the decentralized system. Cost-sharing contracts can coordinate the decentralized system but only allow one channel profit split. In contrast, profit-sharing contracts may not always perfectly coordinate the decentralized system but support alternative profit allocations. Practically, both profit-sharing and cost-sharing contracts are preferable to fixed-cost contracts.

The paper includes implications for travel service firm managers to consider when structuring contracts with digital platforms to focus on profit optimization. Profit-sharing contracts are most preferable when cost and revenue data are fully shared between parties, while cost-sharing contracts are preferable over fixed-cost contracts.

This study extends prior investigations into the utility of different contract types on the optimal profit of a travel service firm (hotel)-digital platform provider relationship. The research fills a gap in the literature concerning the contracts used in these relationship types.

Fresh product loss rates in supply chain operations are particularly high due to the nature of perishable products. The purpose of this paper is to maximize profit through the contract between retailer and supplier. The optimized prices for the retailer and the supplier, taking the fresh-keeping effort into consideration, are derived.

To address this issue, the authors consider a two-echelon supply chain consisting of a retailer and a supplier (i.e. wholesaler) for two scenarios: centralized and decentralized decision making. The authors start from investigating the optimal decision in the centralized supply chain and then comparing the results with those of the decentralized decision. Meanwhile, a fresh-keeping cost-sharing contract and a fresh-keeping cost- and revenue-sharing contract are designed. Numerical examples are provided, and managerial insights are discussed at the end.

The results show that the centralized decision is more profitable than the decentralized decision; a fresh product supply chain (FPSC) can only be coordinated through a fresh-keeping cost- and revenue-sharing contract; the optimal retail price, wholesale price and fresh-keeping effort can all be achieved; and the profit of a FPSC is positively related to consumers’ sensitivity to freshness and negatively correlated with their sensitivity to price.

This research is based on the assumption that demand is relatively stable. It has not addressed when demand is stochastic.

The findings would be useful for managers in fresh food sector in terms of how to deal with suppliers in order to maximize total profit while also provide freshest food to the customers.

Few studies have considered fresh-keeping effort as a decision variable in the modelling of supply chain. In this paper, a mathematical model for the fresh-keeping effort and for price decisions in a supply chain is developed. In particular, fresh-keeping cost-sharing contract and revenue-sharing contract are examined simultaneously in the study of the supply chain coordination problem.

The purposes of this study are twofold. First, to theoretically examine the profit-sharing (mudarabah) contract that produces an optimal distribution of return in the presence of social learning (shuratic process) within the environment of asymmetric information. Second, to empirically investigate the optimal condition of profit-sharing ratio (PSR) and social learning for profit-sharing (mudarabah) contract in Islamic banking.

Data from one of the biggest and earliest Islamic banks in Malaysia were taken as a proxy of an Islamic bank. The data are collected from the period of 2009 to 2013, and these will be used for the simulation process by using the genetic algorithm (GA) technique.

The empirical results discovered that Islamic banks had used social learning in their daily activities, especially in the asset side. The results also showed that the trend of social learning has a positive relationship with the trend of Islamic banks’ net profit. Additionally, the results also indicated that the Islamic banks’ net profit has a positive relationship with its PSR from the profit-sharing (mudarabah) financing and securities investment.

This study is the first of its kind that investigates the implementation of the social learning process in Islamic banking operation. This study also used the latest technique from artificial intelligence system, i.e. a GA, to attain an optimal value for PSR and social learning process.

The purpose of this paper is to study the impact of collaboration between supply chain entities in a dyadic setting where the manufacturer invests in greening and technology adoption effort leading to a price premium effect for the supply chain players.

The paper uses game theoretic approach to analyze the model of inter-firm interaction in a vertical channel setting consisting of a retailer and manufacturer. The paper studies strategic decisions of the channel members in a decentralized and centralized structure and extends this to decision making under contractual settings.

A two-part tariff completely coordinates the green supply chain, while a cost sharing and revenue sharing contract only achieve partial coordination. Nevertheless, a cost sharing, as well as a revenue sharing contract, increases the greening and technological adoption effort by the manufacturer while yielding the supply chain members a strictly larger profit. Furthermore, a revenue sharing contract in comparison to a cost sharing contract, leads to a larger greening and technological adoption effort by the manufacturer, lower wholesale and retail prices and a strictly larger profit for both the manufacturer and the retailer.

This paper contributes to the green supply chain pricing, technology and contract literature considering strategic interactions between a manufacturer and retailer in a supply chain under price premium effects of greening activities and technological advancements.

The purpose of this paper is to explore the effects of varying motivation induced by financial incentives and common uncertainty caused by time pressure on audit judgment performance.

The experimental method is used to examine how financial incentives and time pressure affect audit performance, based on predictions by both economic and behavioral theories. The relative performance contract and the profit sharing contract are two incentive schemes considered. To achieve the incentive effect on subjects when conducting the experiment, all subjects were compensated with real cash rewards, according to their incentive contracts as randomly assigned.

As predicted, major results show that both incentive contract and time pressure affect audit judgment performance. The audit performance is generally better under the relative performance contract than under the profit sharing contract. Additionally, it is demonstrated that an increase in the level of time pressure significantly improves recall, recognition, and total efficiency under both types of incentive contracts, but impairs recall and total performance, particularly under the relative performance contract. Moreover, the reduction of recall and total performance under the relative performance contract is significantly greater than under the profit sharing contract. Nevertheless, in this case, the relative performance contract still outperforms the profit sharing contract.

The findings suggest the relative superiority of the relative performance contract in comparison with the profit sharing contract in improving auditors' judgment performance for structured tasks.

The relative performance contract would motivate junior auditors to exert more effort to increase their performance in the work environment of increased time pressure. The audit firms may incorporate relative performance evaluations into incentive schemes, to improve junior auditors' performance for structured tasks.

The paper is of value to audit firms in the design of performance‐contingent incentive contracts.

The purpose of this research is to investigate how to introduce a financing scheme to tackle the manufacturer's capital constraint problem, discuss the effects of data-driven marketing (DDM) quality, cross-channel-return (CCR) rate and financing interest rate on the members' pricing and delivery-lead-time decisions and optimal performances, and analyzes `how to achieve the coordination within a dual-channel supply chain (DSC) by contract coordination.

This work establishes a DSC model with DDM, and the offline retailer can provide internal financing to the capital-constrained online manufacturer. The demand under the price is determined based on DDM quality, customer channel preference and delivery lead time. Then, combined with the Stackelberg game, the optimal pricing and delivery-lead-time decisions are discussed under the inconsistent and consistent pricing strategies with decentralized and centralized systems. Furthermore, it designs a manufacturer-revenue sharing contract to coordinate the members under the two pricing strategies.

(1) The increase of DDM quality will reduce the delivery-lead-time under the inconsistent or consistent pricing strategy and will push the selling prices; (2) The growth of the CCR rate will raise selling prices and extend the delivery-lead-time under the decentralized decision; (3) Under price competition, the offline selling price is higher than the online selling price when customers prefer the offline channel and vice versa; (4) The retailer and the manufacturer can achieve a win-win situation through a manufacturer-revenue sharing contract.

This paper contributes to the studies related to DSC by investigating pricing and delivery-lead-time decisions based on DDM, CCR, internal financing and supply chain contract and proposes some managerial implications.

The purpose of this paper is to determine the optimal profit-and-loss sharing (PLS)-based contract when market frictions occur.

This paper opts for an adverse selection analysis and Monte Carlo simulation to assess the less risky contract for the principal and the agent when musharakah, mudarabah and venture capital financings are used in imperfect markets. Furthermore, this framework enables us to capture the level of market frictions that the principal can bear and the level of audit that he/she may undertake to mitigate bankruptcy.

The simulation results reveal that Musharakah is the less risky contract for the principal compared to Mudarabah and venture capital when the shock is low and high. Furthermore, our findings indicate that the increase of market frictions engender higher audit cost and profit-sharing ratios. The increase of the safety index in the case of high shock is most likely attributed to the increase of the audit parameter for all contracts to mitigate the selfish behavior of the agent. Accordingly, the principal tends to require a higher profit-sharing ratio to compensate for the severer information asymmetry.

This paper has two main limits. First, the results were not compared to real data because the latter are not available. Second, this paper is a general framework to determine the less risky contract for the principal and does not consider the firm and sectoral characteristics. However, it can be extended in various ways where stress can be put on conflicts of interest between the principal and the agent with the aim to determine the contract that aligns their interests. In addition, the examination of firm dynamics in the case of equity and debt financing can provide further arguments for economic agents regarding the value of the firm, the growth rate and the lifetime of the project when information is asymmetrically distributed.

The findings shed some light on the necessity of the Islamic finance experts to re-think of the promotion of Musharakah because it dominates the two other contracts when market frictions occur.

Although Maghrabi and Mirakhor (2015), Alanzi and Lone (2015) and Lone and Ahmad (2017) among others showed that profit and loss sharing can ensure economic growth, findings may motivate economic players to consider Musharakah financing with the aim to reach financial inclusion and social, which is in line with Shari’ah requirements and Islamic values.

Although several papers highlighted the financial contracting theory from Shari’ah perspective, they ignored the financial issues that are associated to adverse selection. This paper provides theoretical evidence regarding the selection of the less risky financing mode in case of equity financing using Monte Carlo simulation.

There are particularly high fresh agricultural product (FAP) loss rates in actual supply chain operation and the development of FAPs e-commerce is hindered to some extent. The purpose of this paper is to achieve the coordination of three-layer FAP supply chain and maximize profit through the contracts among the supply chain members.

A three-layer FAP supply chain that consists of a fresh produce e-commerce enterprise, third-party logistics service provider (TPLSP) and community convenience store under e-commerce environment is considered. New game models are developed and optimal decisions in centralized and decentralized channel are characterized. Different contract coordination mechanisms are designed to improve the supply chain performance. Finally, computational studies are conducted.

The decentralized supply chain cannot be coordinated by a freshness-keeping cost-sharing contract, and it can be coordinated by a freshness-keeping cost-sharing and revenue-sharing contract. The optimal unit online selling price, unit logistics distribution price, fresh-keeping effort and unit self-collection service price can all be achieved.

The paper provides a practical guideline to managers in fresh produce industry in terms of how to cooperate with other supply chain members so as to maximize total profit and achieve Pareto improvement while also supply the freshest and safest produce to the target market under e-commerce environment.

Few studies have explored the coordination of three-layer FAP supply chain under e-commerce environment with TPLSP and community convenience store’s participation in decisions, especially considering that the market demand for FAPs is affected by freshness and unit online selling price. In this paper, all these scenarios are taken into account and corresponding mathematical models are developed. In particular, different contract coordination mechanisms are designed and examined simultaneously.

Islamic banks use Mudarabah contract to replace the interest-bearing deposits with profit-sharing investment accounts. The purpose of this paper is to explore the challenges and problems associated with the employment of Mudarabah contract by Islamic banks.

The study critically analyzes the Mudarabah contract used by Islamic banks. It reviews the evolution of the contract from its traditional type to more complicated types such as compound, unrestricted, commingled and continuous Mudarabah. The paper investigates the problems that have emerged from implementing such types in current business settings.

The paper proves that implementing the Mudarabah contract by banks imposes several problems among which are the following: difficulty in the determination of total profit resulting from Mudarabah and in allocating this profit to the multiple parties involved in Mudarabah; usage of reserves to cater against future losses may undermine the concept of Mudarabah profit-loss sharing and lead to earnings management; corporate governance is also a major problem in Mudarabah contract, as the depositors are exposed to risks but have no governance rights; and Mudarabah may also lessen the fair presentation of financial reporting.

The paper examines the evolving Mudarabah contract and its implementation challenges, based on available literature (no empirical analysis was conducted).

The implications are significant for the future development of Islamic contracts and Islamic accounting treatments.

Many studies explored the Mudarabah contract from a Shariah or law perspective. However, this paper investigates the Mudarabah contract with a focus on the implication on accounting and financial reporting because of the lack of studies in this area. Furthermore, it demonstrates the persistent flaws in the Mudarabah contract, and it proposes a new model for mobilizing funds, i.e. mutual fund.

The purpose of this paper is to compare the pricing decisions and earning potential of the software supplier and the smart device manufacturer in different software promotion strategies.

Based on game theory, the authors formulate two promotion models, that is, the supplier implements software promotion activities individually (SP model) or outsources the promotion activity to the manufacturer under profit-sharing contract (MP model) when taking different channel power structures into consideration. Besides, in order to test the robustness of the conclusions, the authors also extend the basic model to the following situations: (1) the customers have different price elasticity toward service fee and product price; (2) the revenue sharing contract is employed by the supply chain members; and (3) the manufacturer's product promotion practice is taken into consideration.

The optimal service fee (product price) of the supplier (manufacturer) under SP model is always lower (higher) than that under MP model. Surprisingly, if the supplier is the channel leader and the profit sharing ratio exceeds certain threshold, the manufacturer's profit decreases in profit sharing ratio, which remains robust in three extension models. Moreover, the supply chain's profit in supplier-led game is always lower than that in Nash game irrespective of the promotion strategy in profit sharing context. When revenue sharing contract is adopted, the result holds only when the revenue sharing ratio is relatively low.

The authors originally explore two promotion strategies of the software supplier when taking the channel power structures into considerations, which has not been explored in the literature to the best of the authors' knowledge.